| 1 | $500 | open | yes | view | A276661 | number theory, additive combinatorics | |
| 2 | $1000 | disproved | no | view | A160559 | number theory, covering systems | |
| 3 | $5000 | open | yes | view | A003002, A003003, A003004, A003005 | number theory, additive combinatorics, arithmetic progressions | |
| 4 | $10000 | proved | yes | view | A002386 | number theory, primes | |
| 5 | no | open | no | view | A001223 | number theory, primes | |
| 6 | $100 | proved | yes | view | A335277 | number theory, primes | |
| 7 | no | verifiable | yes | view | N/A | number theory, covering systems | |
| 8 | no | disproved | no | view | N/A | number theory, covering systems | |
| 9 | no | open | yes | view | A006286 | number theory, additive basis, primes | |
| 10 | no | open | yes | view | A387053 | number theory, additive basis, primes | |
| 11 | no | open | yes | view | A001220, A377587 | number theory, additive basis | |
| 12 | no | open | yes | view | N/A | number theory | |
| 13 | $100 | proved | yes | view | A002264 | number theory | |
| 14 | no | open | yes | view | A143824, possible | number theory, sidon sets, additive combinatorics | |
| 15 | no | open | yes | view | N/A | number theory, primes | |
| 16 | no | disproved (Lean) | no | view | A006285 | number theory, additive basis, primes | |
| 17 | no | open | yes | view | A038133 | number theory, primes | cluster primes |
| 18 | no | open | yes | view | A005153 | number theory, divisors, factorials | practical numbers |
| 19 | $500 | decidable | no | view | N/A | graph theory, chromatic number | |
| 20 | $1000 | open | yes | view | A332077 | combinatorics | sunflower conjecture |
| 21 | $500 | proved | no | view | A391599 | combinatorics, intersecting family | |
| 22 | no | proved | no | view | possible | graph theory | |
| 23 | no | falsifiable | yes | view | A389646 | graph theory | |
| 24 | no | proved (Lean) | no | view | possible | graph theory | |
| 25 | no | open | yes | view | N/A | number theory | |
| 26 | no | disproved (Lean) | yes | view | N/A | number theory, divisors | |
| 27 | $100 | disproved | no | view | N/A | number theory, covering systems | |
| 28 | $500 | open | yes | view | N/A | number theory, additive basis | |
| 29 | $100 | proved | no | view | N/A | number theory, additive basis | |
| 30 | $1000 | open | yes | view | A143824, A227590, A003022 | number theory, sidon sets, additive combinatorics | |
| 31 | no | proved (Lean) | no | view | N/A | number theory, additive basis | |
| 32 | no | open | yes | view | N/A | number theory, additive basis | |
| 33 | no | open | yes | view | N/A | number theory, additive basis | |
| 34 | no | disproved (Lean) | no | view | A389241, A234813, A390187 | number theory | |
| 35 | no | proved | no | view | N/A | number theory, additive basis | |
| 36 | no | open | yes | view | A393584, possible | number theory, additive combinatorics | minimum overlap problem |
| 37 | no | disproved | no | view | N/A | number theory, additive combinatorics | |
| 38 | no | proved (Lean) | yes | view | N/A | number theory | |
| 39 | $500 | open | yes | view | N/A | number theory, sidon sets, additive combinatorics | |
| 40 | $500 | open | yes | view | N/A | number theory, additive basis | |
| 41 | $500 | open | yes | view | N/A | number theory, sidon sets, additive combinatorics | |
| 42 | no | solved (Lean) | yes | view | N/A | number theory, sidon sets, additive combinatorics | |
| 43 | $100 | disproved | yes | view | A143824, A227590, A003022, possible | number theory, sidon sets, additive combinatorics | |
| 44 | no | open | yes | view | N/A | number theory, sidon sets, additive combinatorics | |
| 45 | no | proved (Lean) | no | view | possible | number theory, unit fractions, ramsey theory | |
| 46 | no | proved (Lean) | no | view | N/A | number theory, unit fractions, ramsey theory | |
| 47 | $100 | proved (Lean) | no | view | N/A | number theory, unit fractions | |
| 48 | no | proved | yes | view | N/A | number theory | |
| 49 | no | proved | no | view | A365339, A365474 | number theory, primes | |
| 50 | $250 | open | yes | view | N/A | number theory | |
| 51 | no | open | yes | view | A002202, A014197 | number theory | |
| 52 | $250 | open | yes | view | A263996 | number theory, additive combinatorics | sum-product problem |
| 53 | no | proved | no | view | possible | number theory, additive combinatorics | |
| 54 | $100 | solved | no | view | N/A | number theory, ramsey theory | |
| 55 | $250 | solved | no | view | N/A | number theory, ramsey theory | |
| 56 | $10 | disproved (Lean) | yes | view | N/A | number theory, intersecting family | |
| 57 | no | proved | no | view | N/A | graph theory, chromatic number, cycles | |
| 58 | no | proved | no | view | N/A | graph theory, chromatic number, cycles | |
| 59 | no | disproved | no | view | N/A | graph theory, turan number | |
| 60 | no | open | no | view | A006855 | graph theory, cycles | |
| 61 | no | open | yes | view | N/A | graph theory | |
| 62 | no | open | no | view | N/A | graph theory | |
| 63 | no | proved | no | view | N/A | graph theory, chromatic number, cycles | |
| 64 | $1000 | falsifiable | yes | view | N/A | graph theory, cycles | |
| 65 | no | open | no | view | N/A | graph theory, cycles | |
| 66 | $500 | open | yes | view | N/A | number theory, additive basis | |
| 67 | $500 | proved | yes | view | A181740, A237695 | discrepancy | Erdős discrepancy problem |
| 68 | no | open | yes | view | A331373 | number theory, irrationality | |
| 69 | no | proved | yes | view | A262153 | number theory, irrationality | |
| 70 | no | open | no | view | N/A | graph theory, ramsey theory, set theory | |
| 71 | no | proved | no | view | N/A | graph theory, cycles | |
| 72 | $100 | proved | no | view | N/A | graph theory, cycles | |
| 73 | no | proved | no | view | N/A | graph theory | |
| 74 | $500 | open | yes | view | N/A | graph theory, chromatic number, cycles | |
| 75 | no | open | yes | view | N/A | graph theory, chromatic number | |
| 76 | no | proved | no | view | A060407 | graph theory, ramsey theory | |
| 77 | $250 | open | no | view | A059442 | graph theory, ramsey theory | |
| 78 | $100 | open | no | view | A059442 | graph theory, ramsey theory | |
| 79 | no | proved | no | view | N/A | graph theory, ramsey theory | |
| 80 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 81 | no | open | no | view | possible | graph theory | |
| 82 | no | open | yes | view | A120414, A390256, A390257, A390919, A392636, A394400, A394462, A394539, A394563, A394564, A394573, A394574, A394930, A394933 | graph theory | |
| 83 | $500 | proved | no | view | A071799, A387635 | combinatorics | |
| 84 | no | open | no | view | possible | graph theory, cycles | |
| 85 | no | open | yes | view | A006672, possible | graph theory | |
| 86 | $100 | open | no | view | A245762 | graph theory | |
| 87 | no | open | no | view | A059442, possible | graph theory, ramsey theory | |
| 88 | $100 | proved | no | view | N/A | graph theory, ramsey theory | |
| 89 | $500 | open | yes | view | A186704, A131628 | geometry, distances | Erdős distance problem |
| 90 | $500 | disproved | yes | view | A186705 | geometry, distances | unit distance problem |
| 91 | no | open | yes | view | A186704, possible | geometry, distances | |
| 92 | $500 | disproved | yes | view | possible | geometry, distances | |
| 93 | no | proved (Lean) | no | view | N/A | geometry, convex, distances | |
| 94 | £25 | proved (Lean) | no | view | A387858 | geometry, convex, distances | |
| 95 | $500 | proved | no | view | possible | geometry, convex, distances | |
| 96 | no | open | yes | view | possible | geometry, distances, convex | |
| 97 | $100 | falsifiable | yes | view | N/A | geometry, distances, convex | |
| 98 | no | open | yes | view | possible | geometry, distances | |
| 99 | $100 | open | yes | view | N/A | geometry, distances | |
| 100 | no | open | yes | view | N/A | geometry, distances | |
| 101 | $100 | open | yes | view | A006065, possible | geometry | |
| 102 | no | open | no | view | N/A | geometry | |
| 103 | no | open | no | view | possible | geometry, distances | |
| 104 | $100 | open | no | view | A003829 | geometry | |
| 105 | $50 | disproved (Lean) | no | view | N/A | geometry | |
| 106 | no | falsifiable | no | view | N/A | geometry | |
| 107 | $500 | falsifiable | yes | view | A000051 | geometry, convex | ‘Happy Ending’ problem |
| 108 | no | open | yes | view | possible | graph theory, chromatic number, cycles | |
| 109 | no | proved | yes | view | N/A | additive combinatorics | Erdős sumset conjecture |
| 110 | no | disproved | no | view | N/A | graph theory, chromatic number, cycles | |
| 111 | no | open | no | view | N/A | graph theory, chromatic number, set theory | |
| 112 | no | open | no | view | possible | graph theory, ramsey theory | |
| 113 | $500 | disproved | no | view | N/A | graph theory, turan number | |
| 114 | $250 | falsifiable | no | view | N/A | polynomials, analysis | |
| 115 | no | proved (Lean) | no | view | N/A | polynomials, analysis | |
| 116 | no | proved | no | view | N/A | polynomials, analysis | |
| 117 | no | open | no | view | possible | group theory | |
| 118 | no | disproved | no | view | N/A | set theory, ramsey theory | |
| 119 | $100 | open | yes | view | N/A | analysis, polynomials | |
| 120 | $100 | open | yes | view | N/A | combinatorics | Erdős similarity problem |
| 121 | no | disproved | no | view | A028391, A013928, A372306, A373319, A372306, A373178, A360659, A373114, A143301 | number theory, squares | |
| 122 | no | open | no | view | N/A | number theory | |
| 123 | $250 | open | yes | view | N/A | number theory | |
| 124 | no | open | yes | view | N/A | number theory, base representations | |
| 125 | no | disproved (Lean) | yes | view | A367090 | number theory, base representations | |
| 126 | $250 | open | yes | view | possible | number theory | |
| 127 | no | proved | no | view | possible | graph theory | |
| 128 | $250 | falsifiable | yes | view | N/A | graph theory | |
| 129 | no | open | no | view | possible | graph theory, ramsey theory | ambiguous statement |
| 130 | no | open | no | view | N/A | graph theory, chromatic number | |
| 131 | no | open | no | view | A068063 | number theory | |
| 132 | $100 | open | no | view | N/A | distances | |
| 133 | no | disproved | no | view | possible | graph theory | |
| 134 | no | proved (Lean) | no | view | N/A | graph theory | |
| 135 | $250 | disproved | no | view | possible | distances, geometry | |
| 136 | no | solved | no | view | possible | graph theory | |
| 137 | no | open | yes | view | N/A | number theory | |
| 138 | $500 | open | yes | view | A005346 | additive combinatorics | |
| 139 | $1000 | proved | yes | view | A003002, A003003, A003004, A003005 | additive combinatorics, arithmetic progressions | Szemerédi’s theorem |
| 140 | $500 | proved | no | view | A003002 | additive combinatorics, arithmetic progressions | |
| 141 | no | open | yes | view | A006560 | additive combinatorics, primes, arithmetic progressions | |
| 142 | $10000 | open | yes | view | A003002, A003003, A003004, A003005 | additive combinatorics, arithmetic progressions | |
| 143 | $500 | open | yes | view | N/A | primitive sets | |
| 144 | $250 | proved | no | view | A005279 | number theory, divisors | |
| 145 | no | open | yes | view | A005117 | number theory | |
| 146 | $500 | open | no | view | N/A | graph theory, turan number | |
| 147 | $500 | disproved | no | view | N/A | graph theory, turan number | |
| 148 | no | open | no | view | A076393, A006585 | number theory, unit fractions | |
| 149 | no | open | no | view | N/A | graph theory | |
| 150 | no | proved (Lean) | no | view | possible | graph theory | |
| 151 | no | open | no | view | possible | graph theory | |
| 152 | no | proved | yes | view | N/A | sidon sets | |
| 153 | no | open | yes | view | N/A | sidon sets | |
| 154 | no | proved (Lean) | no | view | N/A | sidon sets | |
| 155 | no | open | yes | view | A143824, A227590, A003022 | additive combinatorics, sidon sets | |
| 156 | no | open | no | view | A382397 | sidon sets | |
| 157 | no | proved | no | view | N/A | sidon sets | |
| 158 | no | open | yes | view | N/A | sidon sets | |
| 159 | no | open | no | view | possible | graph theory, ramsey theory | |
| 160 | no | open | yes | view | possible | additive combinatorics, arithmetic progressions | |
| 161 | $500 | open | no | view | N/A | combinatorics, ramsey theory, discrepancy | |
| 162 | no | open | no | view | N/A | combinatorics, ramsey theory, discrepancy | |
| 163 | no | proved | no | view | N/A | graph theory, ramsey theory | Burr-Erdős conjecture |
| 164 | no | proved (Lean) | no | view | A137245 | number theory, primitive sets | |
| 165 | $250 | open | no | view | A000791 | graph theory, ramsey theory | |
| 166 | $250 | proved | no | view | A059442 | graph theory, ramsey theory | |
| 167 | no | falsifiable | no | view | N/A | graph theory | |
| 168 | no | open | yes | view | A004059, A057561, A094708, A386439 | additive combinatorics | |
| 169 | no | open | no | view | A005346 | additive combinatorics, arithmetic progressions | |
| 170 | no | open | yes | view | A046693 | additive combinatorics | sparse ruler problem |
| 171 | no | proved | no | view | A156989 | additive combinatorics, combinatorics | density Hales-Jewett |
| 172 | no | open | yes | view | N/A | additive combinatorics, ramsey theory | |
| 173 | no | open | no | view | N/A | geometry, ramsey theory | |
| 174 | no | open | no | view | N/A | geometry, ramsey theory | |
| 175 | no | proved | no | view | N/A | number theory, binomial coefficients | |
| 176 | no | open | no | view | possible | additive combinatorics, arithmetic progressions, discrepancy | |
| 177 | no | open | no | view | N/A | discrepancy, arithmetic progressions | |
| 178 | no | proved (Lean) | no | view | N/A | discrepancy | |
| 179 | no | proved | no | view | possible | additive combinatorics, arithmetic progressions | |
| 180 | no | open | no | view | N/A | graph theory, turan number | |
| 181 | no | open | no | view | possible | graph theory, ramsey theory | |
| 182 | no | proved | no | view | possible | graph theory | |
| 183 | $250 | open | no | view | A003323 | graph theory, ramsey theory | |
| 184 | no | open | yes | view | possible | graph theory, cycles | |
| 185 | no | proved | no | view | A003142 | additive combinatorics | |
| 186 | no | solved | no | view | A389784 | additive combinatorics | |
| 187 | no | open | no | view | N/A | additive combinatorics, ramsey theory | |
| 188 | no | open | yes | view | N/A | geometry, ramsey theory | |
| 189 | no | disproved (Lean) | yes | view | N/A | geometry, ramsey theory | |
| 190 | no | open | no | view | possible | additive combinatorics, arithmetic progressions | |
| 191 | no | proved | no | view | N/A | combinatorics, ramsey theory | |
| 192 | no | solved (Lean) | no | view | N/A | arithmetic progressions, combinatorics | |
| 193 | no | open | yes | view | A231255 | geometry | |
| 194 | no | disproved (Lean) | yes | view | N/A | arithmetic progressions | |
| 195 | no | open | yes | view | N/A | arithmetic progressions | |
| 196 | no | open | yes | view | N/A | arithmetic progressions | |
| 197 | no | open | yes | view | N/A | arithmetic progressions | |
| 198 | no | disproved (Lean) | yes | view | N/A | additive combinatorics, sidon sets, arithmetic progressions | |
| 199 | no | disproved (Lean) | no | view | N/A | arithmetic progressions | |
| 200 | no | open | yes | view | A005115 | primes, arithmetic progressions | |
| 201 | no | open | no | view | A003002, A003003, A003004, A003005, possible | additive combinatorics, arithmetic progressions | |
| 202 | no | open | no | view | A389975 | covering systems | |
| 203 | no | open | yes | view | N/A | primes, covering systems | |
| 204 | no | disproved (Lean) | yes | view | N/A | covering systems | |
| 205 | no | disproved (Lean) | no | view | possible | number theory | |
| 206 | no | disproved (Lean) | no | view | N/A | number theory, unit fractions | |
| 207 | no | proved | no | view | N/A | combinatorics, hypergraphs | |
| 208 | no | open | yes | view | A005117, A076259 | number theory | |
| 209 | no | disproved | no | view | N/A | geometry | |
| 210 | no | proved | no | view | A003034 | geometry | |
| 211 | $100 | proved | no | view | N/A | geometry | |
| 212 | no | open | yes | view | N/A | geometry, distances | |
| 213 | no | open | yes | view | N/A | geometry, distances | |
| 214 | no | proved (Lean) | no | view | N/A | geometry, distances | |
| 215 | no | proved | no | view | N/A | geometry | |
| 216 | no | disproved | no | view | A381776 | geometry, convex | |
| 217 | no | open | no | view | possible | geometry, distances | |
| 218 | no | open | yes | view | A333230, A333231, A064113 | number theory, primes | |
| 219 | no | proved | yes | view | A005115, A113827, A123556 | number theory, additive combinatorics, primes, arithmetic progressions | Green-Tao theorem |
| 220 | $500 | proved | no | view | A322144 | number theory | |
| 221 | no | proved (Lean) | no | view | N/A | number theory, additive basis | |
| 222 | no | open | no | view | A256435 | number theory, squares | |
| 223 | no | solved | no | view | possible | geometry, distances | |
| 224 | no | proved (Lean) | no | view | N/A | geometry | |
| 225 | no | proved | no | view | N/A | analysis | |
| 226 | no | proved (Lean) | no | view | N/A | analysis | |
| 227 | no | disproved | no | view | N/A | analysis | |
| 228 | no | proved | yes | view | N/A | analysis, polynomials | |
| 229 | no | proved (Lean) | yes | view | N/A | analysis, iterated functions | |
| 230 | no | disproved | no | view | N/A | analysis, polynomials | |
| 231 | no | disproved (Lean) | no | view | N/A | combinatorics | |
| 232 | no | proved | no | view | N/A | geometry, distances | |
| 233 | no | open | yes | view | A074741 | number theory, primes | |
| 234 | no | open | yes | view | N/A | number theory, primes | |
| 235 | no | proved | no | view | N/A | number theory | |
| 236 | no | open | yes | view | A039669, A109925 | number theory, primes | |
| 237 | no | proved (Lean) | no | view | N/A | number theory, primes | |
| 238 | no | open | yes | view | N/A | number theory, primes | |
| 239 | no | proved | yes | view | N/A | number theory | |
| 240 | no | proved | no | view | N/A | number theory, primes | |
| 241 | $100 | open | yes | view | A387704 | additive combinatorics, sidon sets | |
| 242 | no | falsifiable | yes | view | A073101, A075245, A075246, A075247, A075248, A287116 | number theory, unit fractions | Erdős-Straus conjecture |
| 243 | no | open | yes | view | A000058 | number theory | |
| 244 | no | open | yes | view | N/A | number theory, primes | |
| 245 | no | proved | yes | view | N/A | additive combinatorics | |
| 246 | no | proved (Lean) | no | view | N/A | number theory | |
| 247 | no | open | yes | view | N/A | number theory, irrationality | |
| 248 | no | proved | yes | view | N/A | number theory | |
| 249 | no | open | yes | view | A256936 | number theory, irrationality | |
| 250 | no | proved | yes | view | A066766 | number theory, irrationality | |
| 251 | no | open | yes | view | A098990 | number theory, irrationality | |
| 252 | no | open | yes | view | A227988, A227989, possible | number theory, irrationality | |
| 253 | no | disproved | yes | view | N/A | number theory | |
| 254 | no | open | yes | view | N/A | number theory | |
| 255 | no | proved | no | view | N/A | discrepancy | |
| 256 | no | open | no | view | N/A | analysis | |
| 257 | no | open | yes | view | N/A | irrationality | |
| 258 | no | proved (Lean) | yes | view | N/A | irrationality | |
| 259 | no | proved (Lean) | yes | view | A371134 | irrationality | |
| 260 | no | open | yes | view | N/A | irrationality | |
| 261 | no | open | no | view | N/A | number theory | |
| 262 | no | solved | no | view | N/A | irrationality | |
| 263 | no | open | yes | view | N/A | irrationality | |
| 264 | no | open | yes | view | N/A | irrationality | |
| 265 | no | open | no | view | N/A | irrationality | |
| 266 | no | disproved | yes | view | N/A | irrationality | |
| 267 | no | open | yes | view | N/A | irrationality | |
| 268 | no | proved (Lean) | yes | view | N/A | number theory | |
| 269 | no | open | yes | view | N/A | irrationality | |
| 270 | no | disproved | no | view | A073016 | irrationality | |
| 271 | no | open | no | view | A005487 | additive combinatorics, arithmetic progressions | Stanley sequences |
| 272 | no | open | yes | view | possible | additive combinatorics, arithmetic progressions | |
| 273 | no | open | yes | view | N/A | number theory, covering systems | |
| 274 | no | open | yes | view | N/A | group theory, covering systems | Herzog-Schönheim conjecture |
| 275 | no | proved (Lean) | yes | view | N/A | number theory, covering systems | |
| 276 | no | open | yes | view | N/A | number theory, covering systems | |
| 277 | no | proved | yes | view | N/A | number theory, covering systems | |
| 278 | no | open | no | view | N/A | number theory, covering systems | |
| 279 | no | open | yes | view | N/A | number theory, covering systems, primes | |
| 280 | no | disproved (Lean) | no | view | N/A | number theory, covering systems | |
| 281 | no | proved (Lean) | no | view | N/A | number theory, covering systems | |
| 282 | no | open | yes | view | N/A | number theory, unit fractions | |
| 283 | no | proved (Lean) | yes | view | A380791 | number theory, unit fractions | |
| 284 | no | proved | no | view | possible | number theory, unit fractions | |
| 285 | no | proved | yes | view | A030659 | number theory, unit fractions | |
| 286 | no | proved | no | view | N/A | number theory, unit fractions | |
| 287 | no | falsifiable | no | view | N/A | number theory, unit fractions | |
| 288 | no | open | yes | view | N/A | number theory, unit fractions | |
| 289 | no | open | yes | view | N/A | number theory, unit fractions | |
| 290 | no | proved (Lean) | no | view | A375081 | number theory, unit fractions | |
| 291 | no | open | no | view | A110566 | number theory, unit fractions | |
| 292 | no | proved | no | view | A092671 | number theory, unit fractions | |
| 293 | no | open | no | view | possible | number theory, unit fractions | |
| 294 | no | proved | no | view | possible | number theory, unit fractions | |
| 295 | no | open | yes | view | A192881 | number theory, unit fractions | |
| 296 | no | proved (Lean) | no | view | possible | number theory, unit fractions | |
| 297 | no | solved | no | view | A092670 | number theory, unit fractions | |
| 298 | no | proved (Lean) | yes | view | N/A | number theory, unit fractions | |
| 299 | no | disproved (Lean) | yes | view | N/A | number theory, unit fractions | |
| 300 | no | solved | no | view | A390393 | number theory, unit fractions | |
| 301 | no | open | no | view | A390394 | number theory, unit fractions | |
| 302 | no | open | no | view | A390395 | number theory, unit fractions | |
| 303 | no | proved (Lean) | yes | view | N/A | number theory, unit fractions | |
| 304 | no | open | yes | view | A097847, A097849 | number theory, unit fractions | |
| 305 | no | proved | no | view | possible | number theory, unit fractions | |
| 306 | no | open | yes | view | N/A | number theory, unit fractions | |
| 307 | no | verifiable | yes | view | N/A | number theory, unit fractions | |
| 308 | no | proved | no | view | possible | number theory, unit fractions | |
| 309 | no | disproved | no | view | A217693 | number theory, unit fractions | |
| 310 | no | proved | no | view | N/A | number theory, unit fractions | |
| 311 | no | open | no | view | N/A | number theory, unit fractions | |
| 312 | no | open | yes | view | N/A | number theory, unit fractions | |
| 313 | no | open | yes | view | A054377 | number theory, unit fractions | |
| 314 | no | proved (Lean) | no | view | N/A | number theory, unit fractions | |
| 315 | no | proved (Lean) | no | view | A000058, A076393 | number theory, unit fractions | |
| 316 | no | disproved (Lean) | yes | view | N/A | number theory, unit fractions | |
| 317 | no | open | yes | view | N/A | number theory, unit fractions | |
| 318 | no | solved | yes | view | N/A | number theory, unit fractions | |
| 319 | no | open | yes | view | possible | number theory, unit fractions | |
| 320 | no | open | no | view | A072207 | number theory, unit fractions | |
| 321 | no | open | yes | view | A384927, A391592 | number theory, unit fractions | |
| 322 | no | open | no | view | A025456, A025418 | number theory, powers | |
| 323 | no | open | yes | view | possible | number theory, powers | |
| 324 | no | open | yes | view | N/A | number theory, powers | |
| 325 | no | open | yes | view | possible | number theory, powers | |
| 326 | no | open | yes | view | N/A | number theory, additive basis | |
| 327 | no | open | no | view | A384927 | number theory, unit fractions | |
| 328 | no | disproved | no | view | N/A | number theory, additive combinatorics | |
| 329 | no | open | yes | view | possible | number theory | |
| 330 | no | proved (Lean) | yes | view | N/A | number theory, additive basis | |
| 331 | no | disproved (Lean) | yes | view | N/A | number theory, additive combinatorics | |
| 332 | no | open | yes | view | N/A | number theory | |
| 333 | no | disproved (Lean) | no | view | N/A | number theory, additive basis | |
| 334 | no | open | no | view | A062241, A045535 | number theory | |
| 335 | no | open | no | view | N/A | number theory, additive combinatorics | |
| 336 | no | open | no | view | possible | number theory, additive basis | |
| 337 | no | disproved (Lean) | no | view | N/A | number theory, additive combinatorics, additive basis | |
| 338 | no | open | no | view | N/A | number theory, additive basis | |
| 339 | no | proved | no | view | N/A | number theory, additive basis | |
| 340 | no | open | yes | view | A080200, A005282 | number theory, additive combinatorics, sidon sets | |
| 341 | no | open | yes | view | N/A | number theory | |
| 342 | no | open | yes | view | A002858 | number theory | |
| 343 | no | proved | no | view | N/A | number theory, complete sequences | |
| 344 | no | proved | no | view | N/A | number theory, complete sequences | |
| 345 | no | open | no | view | A001661 | number theory, complete sequences | |
| 346 | no | open | yes | view | N/A | number theory, complete sequences | |
| 347 | no | proved (Lean) | yes | view | N/A | number theory, complete sequences | |
| 348 | no | open | yes | view | N/A | number theory, complete sequences | |
| 349 | no | open | yes | view | N/A | number theory, complete sequences | |
| 350 | no | proved (Lean) | yes | view | N/A | number theory, additive combinatorics | |
| 351 | no | proved (Lean) | yes | view | N/A | number theory, complete sequences | |
| 352 | no | open | yes | view | N/A | geometry | |
| 353 | no | proved | no | view | N/A | geometry | |
| 354 | no | open | yes | view | N/A | number theory | |
| 355 | no | proved (Lean) | yes | view | N/A | number theory, unit fractions | |
| 356 | no | proved | no | view | possible | number theory | |
| 357 | no | open | yes | view | A364132, A364153, possible | number theory | |
| 358 | no | proved | yes | view | possible | number theory, additive basis, primes | |
| 359 | no | open | yes | view | A002048 | number theory | segmented numbers |
| 360 | no | solved | no | view | possible | number theory | |
| 361 | no | open | yes | view | possible | number theory | |
| 362 | no | proved | no | view | possible | number theory | |
| 363 | no | disproved (Lean) | no | view | N/A | number theory | |
| 364 | no | verifiable | yes | view | A060355, A076445 | number theory | |
| 365 | no | open | no | view | A060355, A060859, A175155 | number theory | |
| 366 | no | verifiable | yes | view | A060355 | number theory | |
| 367 | no | open | no | view | A057521 | number theory | |
| 368 | no | open | no | view | A074399 | number theory | |
| 369 | no | proved (Lean) | no | view | N/A | number theory | |
| 370 | no | proved (Lean) | yes | view | N/A | number theory | |
| 371 | no | open | yes | view | A070089 | number theory | |
| 372 | no | proved | no | view | A071870 | number theory | |
| 373 | no | open | yes | view | A003135 | number theory, factorials | |
| 374 | no | open | no | view | A388851, A387184, A389117, A389148 | number theory | |
| 375 | no | falsifiable | yes | view | N/A | number theory | |
| 376 | no | open | yes | view | A030979 | number theory, binomial coefficients, base representations | |
| 377 | no | open | yes | view | N/A | number theory, binomial coefficients | |
| 378 | no | proved | no | view | N/A | number theory, binomial coefficients | |
| 379 | no | proved (Lean) | yes | view | possible | number theory, binomial coefficients | |
| 380 | no | proved | no | view | A070003, A388654, A387054, A389100 | number theory | |
| 381 | no | disproved | no | view | A002182 | number theory, divisors | |
| 382 | no | open | no | view | A388850 | number theory | |
| 383 | no | open | yes | view | N/A | number theory | |
| 384 | no | proved | no | view | N/A | number theory, binomial coefficients | |
| 385 | no | open | yes | view | A322292 | number theory | |
| 386 | no | open | yes | view | A280992 | number theory, binomial coefficients | |
| 387 | no | open | yes | view | N/A | number theory, binomial coefficients | |
| 388 | no | open | no | view | N/A | number theory | |
| 389 | no | open | yes | view | A375071 | number theory | |
| 390 | no | open | yes | view | A193429 | number theory, factorials | |
| 391 | no | proved | no | view | A034258, A034259 | number theory, factorials | |
| 392 | no | proved (Lean) | yes | view | possible | number theory, factorials | |
| 393 | no | open | no | view | A388302 | number theory, factorials | |
| 394 | no | open | yes | view | A344005 | number theory | |
| 395 | no | proved | no | view | N/A | analysis | reverse Littlewood-Offord problem |
| 396 | no | open | yes | view | A375077 | number theory, binomial coefficients | |
| 397 | no | disproved (Lean) | yes | view | N/A | number theory, binomial coefficients | |
| 398 | no | falsifiable | yes | view | A146968, A141399 | number theory, factorials | Brocard-Ramanujan conjecture |
| 399 | no | disproved (Lean) | yes | view | N/A | number theory, factorials | |
| 400 | no | open | yes | view | possible | number theory, factorials | |
| 401 | no | proved (Lean) | no | view | N/A | number theory, factorials | |
| 402 | no | proved | yes | view | N/A | number theory | |
| 403 | no | proved | no | view | N/A | number theory, factorials | |
| 404 | no | open | no | view | N/A | number theory, factorials | |
| 405 | no | proved | no | view | N/A | number theory, factorials | |
| 406 | no | open | yes | view | N/A | number theory, base representations | |
| 407 | no | proved | no | view | possible, A387688 | number theory | |
| 408 | no | open | no | view | A049108 | number theory, iterated functions | |
| 409 | no | open | yes | view | A039651, A229487 | number theory, iterated functions | |
| 410 | no | open | yes | view | A007497, possible | number theory, iterated functions | |
| 411 | no | open | no | view | A383044, possible | number theory, iterated functions | |
| 412 | no | open | yes | view | A007497, A051572 | number theory, iterated functions | |
| 413 | no | open | yes | view | A005236 | number theory, iterated functions | |
| 414 | no | open | yes | view | A064491, possible | number theory, iterated functions | |
| 415 | no | open | no | view | possible | number theory | |
| 416 | no | open | yes | view | A264810 | number theory | |
| 417 | no | open | yes | view | A264810, A061070 | number theory | |
| 418 | no | proved (Lean) | yes | view | A005278, A263958 | number theory | |
| 419 | no | solved (Lean) | no | view | N/A | number theory, factorials | |
| 420 | no | open | no | view | N/A | number theory | |
| 421 | no | open | yes | view | A389544, A390848 | number theory | |
| 422 | no | open | yes | view | A005185 | number theory | |
| 423 | no | open | no | view | A005243 | number theory | |
| 424 | no | open | yes | view | A005244 | number theory | |
| 425 | no | open | no | view | possible | number theory, sidon sets | |
| 426 | $25 | disproved (Lean) | no | view | possible | graph theory | |
| 427 | no | proved (Lean) | yes | view | N/A | number theory, primes | |
| 428 | no | open | yes | view | N/A | number theory, primes | |
| 429 | no | disproved (Lean) | no | view | N/A | number theory | |
| 430 | no | open | no | view | possible | number theory | |
| 431 | no | open | no | view | N/A | number theory, primes | inverse Goldbach problem |
| 432 | no | open | no | view | N/A | number theory | |
| 433 | no | proved (Lean) | no | view | possible | number theory | |
| 434 | no | proved (Lean) | yes | view | possible | number theory | |
| 435 | no | proved (Lean) | no | view | A389479 | number theory | |
| 436 | no | open | no | view | A000445, possible | number theory | |
| 437 | no | proved | no | view | possible | number theory | |
| 438 | no | solved | no | view | A363069 | number theory | |
| 439 | no | proved | no | view | N/A | number theory, ramsey theory | |
| 440 | no | solved | no | view | N/A | number theory | |
| 441 | no | disproved | no | view | A068509 | number theory | |
| 442 | no | disproved | yes | view | N/A | number theory | |
| 443 | no | proved (Lean) | no | view | N/A | number theory | |
| 444 | no | proved | no | view | N/A | number theory, divisors | |
| 445 | no | open | yes | view | N/A | number theory | |
| 446 | no | solved | no | view | A074738 | number theory, divisors | |
| 447 | no | proved (Lean) | no | view | possible | combinatorics | |
| 448 | no | disproved | no | view | possible | number theory, divisors | |
| 449 | no | disproved | no | view | possible | number theory, divisors | |
| 450 | no | open | no | view | N/A | number theory, divisors | |
| 451 | no | open | no | view | A386620 | number theory | |
| 452 | no | open | no | view | possible | number theory | |
| 453 | no | disproved (Lean) | no | view | N/A | number theory | |
| 454 | no | open | yes | view | A389676, A389677 | number theory, primes | |
| 455 | no | open | yes | view | N/A | number theory | |
| 456 | no | open | no | view | possible | number theory | |
| 457 | no | proved (Lean) | yes | view | A391668 | number theory | |
| 458 | no | falsifiable | yes | view | A056604 | number theory, primes | |
| 459 | no | solved (Lean) | no | view | A289280 | number theory, primes | |
| 460 | no | open | no | view | N/A | number theory | ambiguous statement |
| 461 | no | open | no | view | possible | number theory, primes | |
| 462 | no | open | no | view | A032742, possible | number theory, primes | |
| 463 | no | open | yes | view | possible | number theory, primes | |
| 464 | no | proved | no | view | N/A | number theory | |
| 465 | no | proved | no | view | N/A | number theory | |
| 466 | no | proved | no | view | N/A | number theory | |
| 467 | no | open | no | view | N/A | number theory | ambiguous statement |
| 468 | no | open | no | view | A167485, A387502, A387503 | number theory, divisors | |
| 469 | no | open | yes | view | A006036, A119425, possible | number theory, divisors | |
| 470 | $10 | open | yes | view | A006037, A002975 | number theory, divisors | |
| 471 | no | proved | no | view | possible | number theory | |
| 472 | no | open | no | view | A389713, possible | number theory | |
| 473 | no | proved | no | view | A055265 | number theory | |
| 474 | $100 | not provable | no | view | N/A | set theory, ramsey theory | |
| 475 | no | decidable | no | view | N/A | number theory, additive combinatorics | |
| 476 | no | proved (Lean) | no | view | N/A | number theory, additive combinatorics | |
| 477 | no | open | yes | view | N/A | number theory | |
| 478 | no | open | no | view | A210184 | number theory, factorials | |
| 479 | no | open | yes | view | A036236, A015919, A050259, A015921, A006521, A006517, A015940 | number theory | |
| 480 | no | proved | yes | view | N/A | number theory | |
| 481 | no | proved (Lean) | no | view | N/A | number theory | |
| 482 | no | solved | no | view | A004539 | number theory | |
| 483 | no | open | no | view | A030126 | number theory, additive combinatorics, ramsey theory | |
| 484 | no | proved (Lean) | no | view | N/A | number theory, additive combinatorics, ramsey theory | |
| 485 | no | proved | no | view | possible | analysis, polynomials | |
| 486 | no | open | yes | view | N/A | number theory, primitive sets | |
| 487 | no | proved (Lean) | no | view | N/A | number theory | |
| 488 | no | falsifiable | yes | view | N/A | number theory | |
| 489 | no | open | yes | view | N/A | number theory | |
| 490 | no | proved | no | view | N/A | number theory | |
| 491 | no | proved | no | view | N/A | number theory | |
| 492 | no | disproved | no | view | N/A | number theory | |
| 493 | no | proved (Lean) | no | view | N/A | number theory | |
| 494 | no | proved | yes | view | N/A | analysis, additive combinatorics | |
| 495 | no | open | yes | view | N/A | diophantine approximation, number theory | Littlewood conjecture |
| 496 | no | proved | no | view | N/A | number theory, diophantine approximation | |
| 497 | no | solved (Lean) | no | view | A000372 | combinatorics | Dedekind’s problem |
| 498 | no | proved (Lean) | no | view | N/A | combinatorics, analysis | strong Littlewood-Offord problem |
| 499 | no | proved (Lean) | yes | view | N/A | combinatorics | |
| 500 | $500 | open | no | view | A140462 | graph theory, hypergraphs, turan number | |
| 501 | no | open | yes | view | N/A | combinatorics, set theory | |
| 502 | no | solved (Lean) | no | view | A027627 | geometry, distances | |
| 503 | no | open | yes | view | A175769 | geometry, distances | |
| 504 | no | solved | no | view | N/A | geometry | Blumenthal’s problem |
| 505 | no | disproved (Lean) | yes | view | possible | geometry | Borsuk’s problem |
| 506 | no | decidable | no | view | possible | geometry | |
| 507 | no | open | yes | view | N/A | geometry | Heilbronn’s triangle problem |
| 508 | no | open | yes | view | N/A | geometry, ramsey theory | Hadwiger-Nelson problem |
| 509 | no | open | yes | view | N/A | analysis | |
| 510 | no | open | yes | view | N/A | analysis | Chowla’s cosine problem |
| 511 | no | disproved | no | view | N/A | analysis | |
| 512 | no | proved | no | view | N/A | analysis | Littlewood’s conjecture |
| 513 | no | open | yes | view | N/A | analysis | |
| 514 | no | open | no | view | N/A | analysis | |
| 515 | no | proved | no | view | N/A | analysis | |
| 516 | no | proved | yes | view | N/A | analysis | |
| 517 | no | open | yes | view | N/A | analysis | |
| 518 | no | proved | no | view | N/A | graph theory, ramsey theory | |
| 519 | no | proved (Lean) | no | view | N/A | analysis | |
| 520 | no | open | yes | view | N/A | number theory, probability | |
| 521 | no | open | no | view | N/A | analysis, polynomials, probability | |
| 522 | no | open | yes | view | N/A | analysis, polynomials, probability | |
| 523 | no | proved | no | view | N/A | analysis, probability, polynomials | |
| 524 | no | open | no | view | N/A | analysis, probability, polynomials | |
| 525 | no | proved | no | view | possible | analysis, probability, polynomials | |
| 526 | no | solved | no | view | N/A | probability, geometry | |
| 527 | no | proved | no | view | N/A | analysis, probability | |
| 528 | no | open | no | view | A387897, A156816 | geometry | |
| 529 | no | open | no | view | N/A | geometry, probability | |
| 530 | no | open | no | view | A143824, possible | number theory, sidon sets | |
| 531 | no | open | no | view | possible | number theory, ramsey theory | |
| 532 | no | proved (Lean) | no | view | N/A | number theory, ramsey theory | |
| 533 | no | disproved | no | view | N/A | graph theory | |
| 534 | no | solved | no | view | A387543, A387698 | number theory, intersecting family | |
| 535 | no | open | yes | view | possible | number theory | |
| 536 | no | open | yes | view | possible | number theory | |
| 537 | no | disproved (Lean) | no | view | possible | number theory | |
| 538 | no | open | no | view | N/A | number theory | |
| 539 | no | open | yes | view | possible | number theory | |
| 540 | no | proved (Lean) | no | view | A034463 | number theory | |
| 541 | no | proved (Lean) | yes | view | N/A | number theory | |
| 542 | no | solved | no | view | N/A | number theory | |
| 543 | no | disproved | no | view | possible | number theory, group theory | |
| 544 | no | open | no | view | A000791 | graph theory, ramsey theory | |
| 545 | no | open | no | view | A059442, possible | graph theory, ramsey theory | |
| 546 | no | proved | no | view | possible | graph theory, ramsey theory | |
| 547 | no | decidable | no | view | N/A | graph theory, ramsey theory | |
| 548 | no | falsifiable | no | view | N/A | graph theory | |
| 549 | no | disproved | no | view | N/A | graph theory, ramsey theory | |
| 550 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 551 | no | decidable | no | view | N/A | graph theory, ramsey theory | |
| 552 | no | open | no | view | A006672 | graph theory, ramsey theory | |
| 553 | no | proved | no | view | A000791, possible | graph theory, ramsey theory | |
| 554 | no | open | no | view | possible | graph theory, ramsey theory | |
| 555 | no | open | no | view | A389313, possible | graph theory, ramsey theory | |
| 556 | no | decidable | no | view | A389335 | graph theory, ramsey theory | |
| 557 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 558 | no | open | no | view | possible | graph theory, ramsey theory | |
| 559 | no | disproved | no | view | possible | graph theory, ramsey theory | |
| 560 | no | open | no | view | possible | graph theory, ramsey theory | |
| 561 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 562 | no | open | yes | view | possible | graph theory, ramsey theory, hypergraphs | |
| 563 | no | open | no | view | N/A | graph theory, ramsey theory, hypergraphs | |
| 564 | $500 | open | yes | view | possible | graph theory, ramsey theory, hypergraphs | |
| 565 | no | proved | no | view | possible | graph theory, ramsey theory | |
| 566 | no | open | yes | view | N/A | graph theory, ramsey theory | |
| 567 | no | open | yes | view | N/A | graph theory, ramsey theory | |
| 568 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 569 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 570 | no | proved | no | view | N/A | graph theory, ramsey theory | |
| 571 | no | open | no | view | N/A | graph theory, turan number | |
| 572 | no | open | no | view | possible | graph theory, turan number | |
| 573 | no | open | no | view | A006856 | graph theory, turan number | |
| 574 | no | disproved | no | view | possible | graph theory, turan number | |
| 575 | no | open | no | view | N/A | graph theory, turan number | |
| 576 | no | open | no | view | possible | graph theory, turan number | |
| 577 | no | proved | no | view | N/A | graph theory | |
| 578 | no | proved | no | view | N/A | graph theory | |
| 579 | no | open | no | view | N/A | graph theory, turan number | |
| 580 | no | decidable | no | view | N/A | graph theory | |
| 581 | no | solved | no | view | possible | graph theory | |
| 582 | $100 | proved (Lean) | no | view | N/A | graph theory, ramsey theory | |
| 583 | no | falsifiable | no | view | N/A | graph theory | |
| 584 | no | open | no | view | N/A | graph theory, cycles | |
| 585 | no | open | no | view | possible | graph theory, cycles | |
| 586 | no | disproved | no | view | N/A | number theory, covering systems | |
| 587 | no | solved | yes | view | A372040 | number theory | |
| 588 | $100 | open | no | view | A006065, A008997 | geometry | |
| 589 | no | open | no | view | possible | geometry | |
| 590 | $250 | proved | yes | view | N/A | set theory, ramsey theory | |
| 591 | $250 | proved | yes | view | N/A | set theory, ramsey theory | |
| 592 | $1000 | open | yes | view | N/A | set theory, ramsey theory | |
| 593 | $500 | open | yes | view | N/A | set theory, graph theory, hypergraphs, chromatic number | |
| 594 | no | proved | no | view | N/A | graph theory, set theory | |
| 595 | $250 | open | yes | view | N/A | graph theory, set theory | |
| 596 | no | open | no | view | N/A | graph theory, ramsey theory, set theory | |
| 597 | no | open | no | view | N/A | graph theory, ramsey theory, set theory | |
| 598 | no | open | yes | view | N/A | set theory, ramsey theory | |
| 599 | no | proved | no | view | N/A | graph theory, set theory | Erdős-Menger conjecture |
| 600 | no | open | no | view | possible | graph theory | |
| 601 | $500 | open | no | view | N/A | graph theory, set theory | |
| 602 | no | open | yes | view | N/A | combinatorics, set theory | Property B |
| 603 | no | open | no | view | N/A | combinatorics, set theory | |
| 604 | $500 | open | no | view | possible | geometry, distances | pinned distance problem |
| 605 | no | proved | no | view | possible | geometry, distances | |
| 606 | no | solved | no | view | N/A | geometry | |
| 607 | $250 | proved | no | view | possible | geometry | |
| 608 | no | disproved | no | view | N/A | graph theory | |
| 609 | no | open | no | view | possible | graph theory, ramsey theory | |
| 610 | no | open | no | view | possible | graph theory | |
| 611 | no | open | no | view | N/A | graph theory | |
| 612 | no | open | no | view | N/A | graph theory | |
| 613 | no | disproved (Lean) | yes | view | N/A | graph theory | |
| 614 | no | open | no | view | possible | graph theory | |
| 615 | no | disproved | no | view | possible | graph theory, ramsey theory | |
| 616 | no | open | no | view | N/A | graph theory | |
| 617 | no | falsifiable | yes | view | N/A | graph theory | |
| 618 | no | proved (Lean) | no | view | N/A | graph theory | |
| 619 | no | open | no | view | N/A | graph theory | |
| 620 | no | open | no | view | possible | graph theory | Erdős-Rogers problem |
| 621 | no | proved (Lean) | no | view | N/A | graph theory | |
| 622 | no | proved | no | view | possible | graph theory | |
| 623 | no | open | yes | view | N/A | set theory | |
| 624 | no | open | yes | view | possible | combinatorics | |
| 625 | $1000 | open | no | view | N/A | graph theory, chromatic number | |
| 626 | no | open | no | view | possible | graph theory, chromatic number, cycles | |
| 627 | no | open | no | view | possible | graph theory, chromatic number | |
| 628 | no | falsifiable | no | view | N/A | graph theory, chromatic number | Erdős-Lovász Tihany Conjecture |
| 629 | no | open | no | view | possible | graph theory, chromatic number | |
| 630 | no | proved | no | view | N/A | graph theory, chromatic number | |
| 631 | no | proved | no | view | N/A | graph theory, chromatic number | |
| 632 | no | disproved | no | view | N/A | graph theory, chromatic number | |
| 633 | $25 | solved | yes | view | N/A | geometry | |
| 634 | $25 | open | no | view | possible | geometry | |
| 635 | no | open | no | view | N/A | number theory | |
| 636 | no | proved | no | view | N/A | graph theory, ramsey theory | |
| 637 | no | proved | no | view | N/A | graph theory, ramsey theory | |
| 638 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 639 | no | proved (Lean) | no | view | N/A | graph theory, ramsey theory | |
| 640 | no | open | no | view | N/A | graph theory, chromatic number | |
| 641 | no | disproved | no | view | N/A | graph theory | |
| 642 | no | open | no | view | possible | graph theory, cycles | |
| 643 | no | open | no | view | possible | graph theory, hypergraphs | |
| 644 | no | open | no | view | possible | combinatorics | |
| 645 | no | proved (Lean) | yes | view | N/A | number theory, additive combinatorics, ramsey theory | |
| 646 | no | proved (Lean) | no | view | N/A | number theory, factorials | |
| 647 | £25 | verifiable | yes | view | A062249, A087280 | number theory | |
| 648 | no | solved (Lean) | no | view | A391750 | number theory | |
| 649 | no | disproved (Lean) | no | view | possible | number theory | |
| 650 | no | solved (Lean) | no | view | A027434 | number theory | |
| 651 | no | disproved | no | view | possible | geometry, convex | |
| 652 | no | proved | no | view | N/A | geometry, distances | |
| 653 | no | open | yes | view | possible | geometry, distances | |
| 654 | no | open | no | view | possible | geometry, distances | |
| 655 | no | open | yes | view | possible | geometry, distances | ambiguous statement |
| 656 | no | proved | no | view | N/A | number theory, additive combinatorics | |
| 657 | no | open | no | view | possible | geometry, distances | |
| 658 | no | proved (Lean) | no | view | possible | additive combinatorics | |
| 659 | no | proved (Lean) | yes | view | possible | geometry, distances | |
| 660 | no | open | no | view | possible | geometry, distances, convex | ambiguous statement |
| 661 | $50 | open | no | view | possible | geometry, distances | |
| 662 | no | open | no | view | N/A | geometry, distances | ambiguous statement |
| 663 | no | open | no | view | A391668 | number theory | |
| 664 | no | disproved | no | view | N/A | combinatorics | |
| 665 | no | open | no | view | N/A | combinatorics | |
| 666 | no | disproved (Lean) | no | view | possible | graph theory | |
| 667 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 668 | no | open | no | view | A385657 | geometry, distances | |
| 669 | no | open | no | view | A003035, A006065, A008997, possible | geometry | orchard problems |
| 670 | no | open | no | view | N/A | geometry, distances | |
| 671 | $250 | open | no | view | N/A | analysis | |
| 672 | no | verifiable | yes | view | N/A | number theory | |
| 673 | no | proved | no | view | N/A | number theory, divisors | |
| 674 | no | proved (Lean) | no | view | N/A | number theory | |
| 675 | no | open | no | view | N/A | number theory | |
| 676 | no | open | no | view | A390181, in progress | number theory | |
| 677 | no | open | yes | view | possible | number theory | |
| 678 | no | proved (Lean) | yes | view | possible | number theory | |
| 679 | no | open | no | view | N/A | number theory | |
| 680 | no | open | yes | view | N/A | number theory, primes | |
| 681 | no | open | yes | view | A389680 | number theory, primes | |
| 682 | no | proved | no | view | A386978 | number theory, primes | |
| 683 | no | open | yes | view | A006530, A074399, A121359, possible | number theory, primes, binomial coefficients | |
| 684 | no | open | no | view | A392019, possible | number theory, primes, binomial coefficients | |
| 685 | no | open | no | view | N/A | number theory, primes, binomial coefficients | |
| 686 | no | open | yes | view | N/A | number theory | |
| 687 | $1000 | open | no | view | A048670, A058989 | number theory | |
| 688 | no | open | yes | view | N/A | number theory | |
| 689 | no | open | yes | view | N/A | number theory | |
| 690 | no | solved | no | view | possible | number theory | |
| 691 | no | open | no | view | N/A | number theory | |
| 692 | no | disproved (Lean) | no | view | N/A | number theory, divisors | |
| 693 | no | open | no | view | A391118, possible | number theory, divisors | |
| 694 | no | solved (Lean) | yes | view | possible | number theory | |
| 695 | no | open | yes | view | A061092 | number theory | |
| 696 | no | solved (Lean) | no | view | possible | number theory, divisors | |
| 697 | no | proved | yes | view | N/A | number theory, divisors | |
| 698 | no | proved (Lean) | no | view | possible | number theory, binomial coefficients | |
| 699 | no | falsifiable | yes | view | N/A | number theory, binomial coefficients | |
| 700 | no | open | no | view | A091963, possible | number theory, binomial coefficients | |
| 701 | no | open | yes | view | N/A | combinatorics, intersecting family | |
| 702 | no | proved | no | view | N/A | combinatorics | |
| 703 | $250 | proved | no | view | A390645 | combinatorics | |
| 704 | no | open | no | view | N/A | graph theory, geometry, chromatic number | |
| 705 | no | disproved | yes | view | N/A | graph theory, chromatic number | |
| 706 | no | open | no | view | possible | graph theory, chromatic number | |
| 707 | $1000 | disproved (Lean) | yes | view | N/A | additive combinatorics, sidon sets | |
| 708 | $100 | open | no | view | possible | number theory | |
| 709 | no | open | no | view | possible | number theory | |
| 710 | ₹2000 | open | no | view | A390246 | number theory | |
| 711 | ₹1000 | open | no | view | possible | number theory | |
| 712 | $500 | open | no | view | possible | graph theory, turan number, hypergraphs | |
| 713 | $500 | open | no | view | N/A | graph theory, turan number | |
| 714 | no | open | no | view | possible | graph theory, turan number | |
| 715 | no | proved | no | view | N/A | graph theory | |
| 716 | no | proved | no | view | possible | graph theory, hypergraphs | Ruzsa-Szemerédi problem |
| 717 | no | proved | no | view | N/A | graph theory | |
| 718 | no | proved | no | view | N/A | graph theory | |
| 719 | no | open | no | view | possible | graph theory, hypergraphs | |
| 720 | $100 | proved | no | view | possible | graph theory, ramsey theory | |
| 721 | no | solved | no | view | A171081 | number theory, additive combinatorics, ramsey theory | |
| 722 | no | proved | no | view | N/A | combinatorics | |
| 723 | no | falsifiable | yes | view | N/A | combinatorics | |
| 724 | no | open | no | view | A001438 | combinatorics | |
| 725 | no | open | no | view | A001009 | combinatorics | |
| 726 | no | open | no | view | N/A | number theory | |
| 727 | no | open | yes | view | A002503, A343507, A389396 | number theory, factorials | |
| 728 | no | proved (Lean) | yes | view | N/A | number theory, factorials | |
| 729 | no | proved (Lean) | no | view | N/A | number theory, factorials | |
| 730 | no | open | yes | view | A129515 | number theory, binomial coefficients, base representations | |
| 731 | no | open | no | view | A006197 | number theory, binomial coefficients | |
| 732 | no | proved | no | view | N/A | combinatorics | |
| 733 | no | proved | no | view | possible | combinatorics, geometry | |
| 734 | no | open | no | view | possible | combinatorics | |
| 735 | no | solved | no | view | N/A | geometry | |
| 736 | no | not provable | no | view | N/A | graph theory, chromatic number | |
| 737 | no | proved | no | view | N/A | graph theory, chromatic number | |
| 738 | no | open | no | view | N/A | graph theory, chromatic number | |
| 739 | no | not provable | no | view | N/A | graph theory, chromatic number | |
| 740 | no | open | yes | view | N/A | graph theory, chromatic number | |
| 741 | no | solved (Lean) | yes | view | N/A | additive combinatorics | |
| 742 | no | decidable | no | view | N/A | graph theory | |
| 743 | no | falsifiable | no | view | N/A | graph theory | tree packing conjecture |
| 744 | no | disproved | no | view | possible | graph theory, chromatic number | |
| 745 | no | proved | no | view | N/A | graph theory | |
| 746 | no | proved | no | view | N/A | graph theory | |
| 747 | no | solved | no | view | N/A | combinatorics, hypergraphs | |
| 748 | no | proved | no | view | A007865 | number theory | Cameron-Erdős conjecture |
| 749 | no | open | yes | view | N/A | additive combinatorics | |
| 750 | no | open | yes | view | N/A | graph theory, chromatic number | |
| 751 | no | disproved (Lean) | no | view | N/A | graph theory, chromatic number | |
| 752 | no | proved | no | view | N/A | graph theory, cycles | |
| 753 | no | disproved (Lean) | no | view | N/A | graph theory, chromatic number | |
| 754 | no | proved | no | view | possible | geometry, distances | |
| 755 | no | proved | no | view | possible | geometry | |
| 756 | no | proved (Lean) | no | view | possible | geometry, distances | |
| 757 | no | open | yes | view | possible | geometry, distances, sidon sets | |
| 758 | no | solved | no | view | possible | graph theory, chromatic number | |
| 759 | no | solved | no | view | possible | graph theory, chromatic number | |
| 760 | no | proved (Lean) | no | view | N/A | graph theory, chromatic number | |
| 761 | no | open | no | view | N/A | graph theory, chromatic number | |
| 762 | no | disproved (Lean) | no | view | N/A | graph theory, chromatic number | |
| 763 | no | disproved | no | view | N/A | number theory, additive combinatorics | |
| 764 | no | disproved | no | view | N/A | number theory, additive combinatorics | |
| 765 | no | solved (Lean) | no | view | A006855 | graph theory, turan number | |
| 766 | no | open | no | view | possible | graph theory, turan number | |
| 767 | no | proved | no | view | possible | graph theory, turan number | |
| 768 | no | open | no | view | A001034, A352287 | number theory | |
| 769 | no | open | no | view | A014544, possible | number theory, geometry | |
| 770 | no | open | yes | view | A263647, possible | number theory | |
| 771 | no | proved | no | view | possible | number theory | |
| 772 | no | proved | no | view | possible | number theory, sidon sets, additive combinatorics | |
| 773 | no | open | no | view | A390813 | number theory, sidon sets, squares | |
| 774 | no | open | yes | view | N/A | number theory | |
| 775 | no | disproved (Lean) | no | view | possible | graph theory, hypergraphs | |
| 776 | no | open | no | view | possible | combinatorics | |
| 777 | no | solved | no | view | N/A | graph theory, combinatorics | |
| 778 | no | open | no | view | N/A | graph theory | |
| 779 | no | falsifiable | yes | view | A005235 | number theory, primes | |
| 780 | no | proved | no | view | N/A | combinatorics, hypergraphs, chromatic number | |
| 781 | no | disproved | no | view | possible | additive combinatorics | |
| 782 | no | open | no | view | N/A | number theory | |
| 783 | no | solved | no | view | N/A | number theory | |
| 784 | no | solved | no | view | N/A | number theory | |
| 785 | no | proved (Lean) | no | view | N/A | additive combinatorics | exact additive complements |
| 786 | no | open | yes | view | A143301, possible | number theory | |
| 787 | no | open | no | view | possible | additive combinatorics | |
| 788 | no | open | no | view | possible | additive combinatorics | |
| 789 | no | open | yes | view | possible | additive combinatorics | |
| 790 | no | open | no | view | possible | additive combinatorics | |
| 791 | no | open | no | view | A066063 | additive combinatorics | |
| 792 | no | open | no | view | possible | additive combinatorics | |
| 793 | no | open | no | view | possible | number theory | |
| 794 | no | disproved (Lean) | no | view | N/A | graph theory, hypergraphs, turan number | |
| 795 | no | proved | no | view | possible | number theory | |
| 796 | no | open | no | view | possible | number theory | |
| 797 | no | proved | no | view | possible | graph theory, chromatic number | |
| 798 | no | proved (Lean) | no | view | A116446 | geometry | |
| 799 | no | proved | no | view | N/A | graph theory, chromatic number | |
| 800 | no | proved | no | view | N/A | graph theory, ramsey theory | |
| 801 | no | proved | no | view | N/A | graph theory, ramsey theory | |
| 802 | no | open | no | view | N/A | graph theory | |
| 803 | no | disproved | no | view | N/A | graph theory | |
| 804 | no | disproved | no | view | possible | graph theory | |
| 805 | no | open | no | view | possible | graph theory | |
| 806 | no | proved | no | view | possible | additive combinatorics | |
| 807 | no | disproved | no | view | N/A | graph theory | |
| 808 | no | disproved | no | view | N/A | additive combinatorics, graph theory | |
| 809 | no | open | no | view | possible | graph theory, ramsey theory | |
| 810 | no | open | no | view | possible | graph theory, ramsey theory | |
| 811 | no | open | no | view | possible | graph theory, ramsey theory | |
| 812 | no | open | yes | view | A059442 | graph theory, ramsey theory | |
| 813 | no | open | no | view | possible | graph theory | |
| 814 | no | proved | no | view | possible | graph theory | |
| 815 | no | disproved | no | view | N/A | graph theory | |
| 816 | no | proved | no | view | N/A | graph theory | |
| 817 | no | open | yes | view | possible | additive combinatorics | |
| 818 | no | proved (Lean) | no | view | N/A | additive combinatorics | |
| 819 | no | open | no | view | possible | additive combinatorics | |
| 820 | no | open | no | view | A263647 | number theory | |
| 821 | no | open | no | view | A014197 | number theory | |
| 822 | no | proved | yes | view | A121048, A155085 | number theory | |
| 823 | no | proved | no | view | N/A | number theory | |
| 824 | no | open | no | view | possible | number theory | |
| 825 | $25 | proved | yes | view | A006037, A330244 | number theory | |
| 826 | no | open | yes | view | N/A | number theory | |
| 827 | no | open | no | view | possible | geometry | |
| 828 | no | open | yes | view | N/A | number theory | |
| 829 | no | open | no | view | possible | number theory | |
| 830 | no | open | yes | view | A259180 | number theory | |
| 831 | no | open | no | view | possible | geometry | |
| 832 | no | disproved | no | view | possible | graph theory, hypergraphs, chromatic number | |
| 833 | no | proved | no | view | possible | graph theory, hypergraphs, chromatic number | |
| 834 | no | solved | no | view | N/A | graph theory, hypergraphs | |
| 835 | no | verifiable | yes | view | N/A | graph theory, hypergraphs | |
| 836 | no | open | no | view | N/A | graph theory, hypergraphs, chromatic number | |
| 837 | no | open | no | view | N/A | graph theory, hypergraphs | |
| 838 | no | open | no | view | possible | geometry, convex | |
| 839 | no | open | no | view | N/A | number theory | |
| 840 | no | open | no | view | N/A | additive combinatorics, sidon sets | |
| 841 | no | solved | no | view | A092487 | number theory | |
| 842 | no | proved | no | view | N/A | graph theory, chromatic number | |
| 843 | no | proved | no | view | N/A | number theory | |
| 844 | no | proved (Lean) | no | view | N/A | number theory, intersecting family | |
| 845 | no | disproved (Lean) | yes | view | N/A | number theory | |
| 846 | no | disproved (Lean) | yes | view | N/A | geometry | |
| 847 | no | disproved | yes | view | N/A | additive combinatorics | |
| 848 | no | decidable | yes | view | N/A | number theory | |
| 849 | no | open | yes | view | A003016, A003015, A059233, A098565, A090162, A180058, A182237 | number theory, binomial coefficients | Singmaster’s conjecture |
| 850 | no | open | yes | view | A343101 | number theory, primes | Erdős-Woods conjecture |
| 851 | no | proved | yes | view | N/A | number theory | |
| 852 | no | open | no | view | A001223, A053597, A078515 | number theory, primes | |
| 853 | no | open | yes | view | A001223, A390769 | number theory, primes | |
| 854 | no | open | no | view | A389839, A048670 | number theory | |
| 855 | no | open | yes | view | A023193 | number theory, primes | second Hardy-Littlewood conjecture |
| 856 | no | open | no | view | possible | number theory | |
| 857 | no | open | yes | view | possible | combinatorics | weak sunflower problem |
| 858 | no | solved | no | view | N/A | number theory, primitive sets | |
| 859 | no | open | yes | view | N/A | number theory, divisors | |
| 860 | no | open | no | view | A048670, A058989 | number theory, primes | |
| 861 | no | solved | no | view | A143824, A227590, A003022, A143823 | number theory, sidon sets | |
| 862 | no | solved (Lean) | no | view | A382395 | number theory, sidon sets | |
| 863 | no | proved | no | view | N/A | number theory, sidon sets, additive combinatorics | |
| 864 | no | open | no | view | A389182 | number theory, sidon sets, additive combinatorics | |
| 865 | no | open | yes | view | possible | number theory, additive combinatorics | |
| 866 | no | open | no | view | possible | number theory, additive combinatorics | |
| 867 | no | disproved (Lean) | no | view | possible | additive combinatorics | |
| 868 | no | solved | yes | view | N/A | number theory, additive basis | |
| 869 | no | disproved | no | view | N/A | number theory, additive basis | |
| 870 | no | open | no | view | N/A | number theory, additive basis | |
| 871 | no | disproved (Lean) | no | view | N/A | number theory, additive basis | |
| 872 | no | open | no | view | possible | number theory, primitive sets | |
| 873 | no | open | yes | view | N/A | number theory | |
| 874 | no | proved | no | view | possible | number theory, additive combinatorics | |
| 875 | no | open | no | view | N/A | additive combinatorics | |
| 876 | no | open | no | view | N/A | additive combinatorics | |
| 877 | no | proved | no | view | possible | additive combinatorics | |
| 878 | no | open | no | view | A339378, possible | number theory | |
| 879 | no | open | no | view | A186736 | number theory | |
| 880 | no | proved | no | view | N/A | number theory, additive basis | |
| 881 | no | open | yes | view | N/A | number theory, additive basis | |
| 882 | no | solved | no | view | possible | number theory, primitive sets | |
| 883 | no | open | no | view | N/A | number theory, graph theory | |
| 884 | no | disproved | yes | view | N/A | number theory, divisors | |
| 885 | no | open | yes | view | N/A | number theory, divisors | |
| 886 | no | open | yes | view | N/A | number theory, divisors | |
| 887 | no | open | yes | view | N/A | number theory, divisors | |
| 888 | no | open | yes | view | A387584 | number theory, squares | |
| 889 | no | open | yes | view | possible | number theory | |
| 890 | no | open | yes | view | N/A | number theory, primes | |
| 891 | no | open | yes | view | N/A | number theory | |
| 892 | no | open | no | view | N/A | number theory, primitive sets | |
| 893 | no | open | yes | view | A046801, possible | number theory, divisors | |
| 894 | no | proved | no | view | N/A | number theory, ramsey theory | |
| 895 | no | proved | no | view | N/A | additive combinatorics, graph theory | |
| 896 | no | solved | no | view | possible | number theory | |
| 897 | no | disproved (Lean) | yes | view | N/A | number theory | |
| 898 | no | proved (Lean) | no | view | N/A | geometry | Erdős-Mordell inequality |
| 899 | no | proved | yes | view | N/A | additive combinatorics | |
| 900 | no | proved | no | view | N/A | graph theory | |
| 901 | no | open | no | view | possible | combinatorics, hypergraphs | |
| 902 | no | open | no | view | A362137 | graph theory | |
| 903 | no | proved | no | view | N/A | combinatorics | |
| 904 | no | proved (Lean) | no | view | N/A | graph theory | |
| 905 | no | proved (Lean) | no | view | N/A | graph theory | |
| 906 | no | open | yes | view | N/A | analysis, iterated functions | |
| 907 | no | proved (Lean) | no | view | N/A | analysis | |
| 908 | no | proved | no | view | N/A | analysis | |
| 909 | no | proved | no | view | N/A | analysis, topology | |
| 910 | no | disproved | no | view | N/A | topology | |
| 911 | no | open | no | view | N/A | graph theory, ramsey theory | |
| 912 | no | open | yes | view | A071626 | number theory, factorials | |
| 913 | no | open | yes | view | A359747 | number theory | |
| 914 | no | proved (Lean) | no | view | N/A | graph theory | |
| 915 | no | solved | no | view | N/A | graph theory | |
| 916 | no | proved | no | view | N/A | graph theory, cycles | |
| 917 | no | open | no | view | N/A | graph theory, chromatic number | |
| 918 | no | open | yes | view | N/A | graph theory, chromatic number | |
| 919 | no | open | no | view | N/A | graph theory, chromatic number | |
| 920 | no | open | yes | view | possible | graph theory, chromatic number | |
| 921 | no | proved | no | view | possible | graph theory, chromatic number, cycles | |
| 922 | no | proved | no | view | N/A | graph theory, chromatic number | |
| 923 | no | proved (Lean) | no | view | N/A | graph theory, chromatic number | |
| 924 | no | proved | no | view | N/A | graph theory, ramsey theory | |
| 925 | no | disproved | no | view | possible | graph theory, ramsey theory | |
| 926 | no | proved | no | view | possible | graph theory | |
| 927 | no | disproved | no | view | possible | graph theory | |
| 928 | no | open | no | view | A006530 | number theory | |
| 929 | no | open | no | view | possible | number theory | |
| 930 | no | open | yes | view | N/A | number theory | |
| 931 | no | open | yes | view | N/A | number theory | |
| 932 | no | open | yes | view | A387864 | number theory | |
| 933 | no | open | no | view | possible | number theory | |
| 934 | no | open | no | view | possible | graph theory | |
| 935 | no | open | no | view | A057521, A389244, possible | number theory | |
| 936 | no | open | yes | view | A146968, possible | number theory | |
| 937 | no | proved | no | view | possible | number theory | |
| 938 | no | open | yes | view | A001694, possible | number theory | |
| 939 | no | open | yes | view | possible | number theory | |
| 940 | no | open | yes | view | possible | number theory | |
| 941 | no | proved | no | view | A056828 | number theory | |
| 942 | no | open | yes | view | possible | number theory | |
| 943 | no | open | yes | view | possible | number theory | |
| 944 | no | open | yes | view | N/A | graph theory, chromatic number | |
| 945 | no | open | yes | view | possible, A048892 | number theory, divisors | |
| 946 | no | proved | yes | view | A005237, A284783 | number theory, divisors | |
| 947 | no | proved (Lean) | no | view | N/A | number theory, covering systems | |
| 948 | no | open | no | view | N/A | number theory, ramsey theory | |
| 949 | no | open | yes | view | N/A | ramsey theory | |
| 950 | no | open | no | view | N/A | number theory, primes | |
| 951 | no | open | yes | view | N/A | number theory | |
| 952 | no | open | yes | view | N/A | number theory | Gaussian moat problem |
| 953 | no | open | no | view | N/A | geometry, distances | |
| 954 | no | open | no | view | A390642 | number theory | |
| 955 | no | open | no | view | possible | number theory | |
| 956 | no | open | no | view | possible | geometry, distances, convex | |
| 957 | no | proved | no | view | N/A | geometry, distances | |
| 958 | no | disproved (Lean) | no | view | N/A | distances, geometry | |
| 959 | no | open | no | view | N/A | geometry, distances | |
| 960 | no | disproved | no | view | possible | geometry | |
| 961 | no | open | yes | view | A213253 | number theory | |
| 962 | no | open | yes | view | A327909 | number theory | |
| 963 | no | open | no | view | possible | number theory | |
| 964 | no | proved (Lean) | no | view | N/A | number theory, divisors | |
| 965 | no | disproved | yes | view | N/A | ramsey theory | |
| 966 | no | proved (Lean) | no | view | N/A | number theory, additive combinatorics, ramsey theory | |
| 967 | no | disproved (Lean) | no | view | N/A | number theory, analysis | |
| 968 | no | open | yes | view | A387591 | number theory | |
| 969 | no | open | no | view | A013928 | number theory | |
| 970 | no | open | no | view | A048669 | number theory | Jacobsthal’s function |
| 971 | no | open | yes | view | A226521 | number theory | |
| 972 | no | open | yes | view | N/A | number theory | |
| 973 | no | open | no | view | N/A | analysis | |
| 974 | no | proved (Lean) | no | view | N/A | analysis | |
| 975 | no | open | yes | view | A147807, possible | number theory, divisors | |
| 976 | no | open | no | view | N/A | number theory | |
| 977 | no | proved | no | view | A005420, A002583 | number theory | |
| 978 | no | open | yes | view | possible | number theory | |
| 979 | no | open | yes | view | A385316, possible | number theory | |
| 980 | no | proved | no | view | A053760, A098990, possible | number theory | |
| 981 | no | proved | no | view | N/A | number theory | |
| 982 | no | falsifiable | yes | view | A004526 | geometry, convex, distances | |
| 983 | no | open | no | view | possible | number theory | |
| 984 | no | proved | no | view | N/A | arithmetic progressions, additive combinatorics | |
| 985 | no | open | yes | view | A002233, A219429, A103309, possible | number theory | |
| 986 | no | open | no | view | A000791, A059442 | graph theory, ramsey theory | |
| 987 | no | proved | no | view | N/A | analysis, discrepancy | |
| 988 | no | solved | no | view | possible | discrepancy | |
| 989 | no | solved | no | view | possible | discrepancy | |
| 990 | no | disproved (Lean) | no | view | N/A | analysis | |
| 991 | no | proved | no | view | N/A | discrepancy | |
| 992 | no | disproved | no | view | N/A | discrepancy | |
| 993 | no | falsifiable | no | view | possible | graph theory | |
| 994 | no | disproved | no | view | N/A | analysis, discrepancy | |
| 995 | no | open | no | view | N/A | analysis, discrepancy | |
| 996 | no | open | yes | view | N/A | analysis | |
| 997 | no | proved (Lean) | yes | view | N/A | analysis, discrepancy, primes | |
| 998 | no | proved | no | view | N/A | analysis, diophantine approximation | |
| 999 | no | proved | no | view | N/A | number theory, diophantine approximation | Duffin-Schaeffer conjecture |
| 1000 | no | proved (Lean) | no | view | N/A | number theory, diophantine approximation | |
| 1001 | no | solved | no | view | N/A | number theory, diophantine approximation | |
| 1002 | no | open | yes | view | N/A | analysis, diophantine approximation | |
| 1003 | no | open | yes | view | A001274 | number theory | |
| 1004 | no | open | yes | view | possible | number theory | |
| 1005 | no | open | no | view | A386893 | number theory | |
| 1006 | no | disproved | no | view | N/A | graph theory, cycles | |
| 1007 | no | solved (Lean) | no | view | N/A | graph theory | |
| 1008 | no | proved (Lean) | no | view | N/A | graph theory | |
| 1009 | no | proved | no | view | N/A | graph theory | |
| 1010 | no | proved | no | view | N/A | graph theory | |
| 1011 | no | open | no | view | possible | graph theory | |
| 1012 | no | solved | no | view | ? | graph theory | |
| 1013 | no | open | no | view | A292528 | graph theory | |
| 1014 | no | proved (Lean) | no | view | possible | graph theory | |
| 1015 | no | solved | no | view | possible | graph theory, ramsey theory | |
| 1016 | no | open | no | view | A105206 | graph theory, cycles | pancyclic graphs |
| 1017 | no | open | no | view | possible | graph theory | |
| 1018 | no | solved | no | view | N/A | graph theory, planar graphs | |
| 1019 | no | proved | no | view | N/A | graph theory, planar graphs | |
| 1020 | no | falsifiable | no | view | N/A | graph theory, hypergraphs | Erdős matching conjecture |
| 1021 | no | proved | no | view | N/A | graph theory | |
| 1022 | no | proved (Lean) | no | view | possible | combinatorics, hypergraphs | |
| 1023 | no | solved (Lean) | no | view | possible | combinatorics | |
| 1024 | no | solved | no | view | possible | graph theory, hypergraphs | |
| 1025 | no | solved | no | view | possible | combinatorics | |
| 1026 | no | solved (Lean) | no | view | A391431, A391490 | combinatorics | |
| 1027 | no | proved | no | view | N/A | combinatorics | |
| 1028 | no | solved (Lean) | no | view | possible | graph theory, discrepancy | |
| 1029 | $100 | open | no | view | A059442 | graph theory, ramsey theory | |
| 1030 | no | open | no | view | A000791, A059442 | graph theory, ramsey theory | |
| 1031 | no | proved | no | view | possible | graph theory | |
| 1032 | no | open | no | view | possible | graph theory, chromatic number | |
| 1033 | no | open | no | view | possible | graph theory | |
| 1034 | no | disproved (Lean) | no | view | possible | graph theory | |
| 1035 | no | open | no | view | possible | graph theory | |
| 1036 | no | proved (Lean) | no | view | possible | graph theory | |
| 1037 | no | disproved (Lean) | no | view | N/A | graph theory | |
| 1038 | no | open | yes | view | N/A | analysis | |
| 1039 | no | open | no | view | N/A | analysis | |
| 1040 | no | open | no | view | N/A | analysis | |
| 1041 | no | falsifiable | yes | view | N/A | analysis | |
| 1042 | no | proved | no | view | N/A | analysis | |
| 1043 | no | disproved (Lean) | yes | view | N/A | analysis | |
| 1044 | no | solved (Lean) | no | view | N/A | analysis | |
| 1045 | no | open | no | view | N/A | analysis | |
| 1046 | no | disproved | no | view | N/A | analysis | |
| 1047 | no | disproved (Lean) | no | view | N/A | analysis | |
| 1048 | no | disproved (Lean) | no | view | N/A | analysis | |
| 1049 | no | open | yes | view | N/A | irrationality | |
| 1050 | no | proved | no | view | A331372 | irrationality | |
| 1051 | no | proved (Lean) | yes | view | N/A | irrationality | |
| 1052 | $10 | open | yes | view | A002827 | number theory | unitary perfect numbers |
| 1053 | no | open | no | view | A007539 | number theory | multiply perfect numbers |
| 1054 | no | open | yes | view | A167485 | number theory, divisors | |
| 1055 | no | open | yes | view | A005113 | number theory, primes | |
| 1056 | no | open | yes | view | A060427 | number theory | |
| 1057 | no | open | no | view | A006931 | number theory | Carmichael numbers |
| 1058 | no | proved | no | view | N/A | number theory | |
| 1059 | no | open | yes | view | A064152 | number theory, primes | |
| 1060 | no | open | yes | view | A327153 | number theory | |
| 1061 | no | open | yes | view | A110177, possible | number theory | |
| 1062 | no | open | yes | view | A038372 | number theory | |
| 1063 | no | open | yes | view | A389360 | number theory | |
| 1064 | no | proved | yes | view | A051488, A051487 | number theory | |
| 1065 | no | open | yes | view | A074781, A339465 | number theory | |
| 1066 | no | open | no | view | possible | graph theory, planar graphs | |
| 1067 | no | disproved (Lean) | yes | view | N/A | graph theory, set theory | |
| 1068 | no | open | yes | view | N/A | graph theory, set theory, chromatic number | |
| 1069 | no | solved | no | view | possible | geometry | |
| 1070 | no | open | no | view | possible | geometry | |
| 1071 | no | proved (Lean) | yes | view | N/A | geometry | |
| 1072 | no | open | yes | view | A073944, A072937, A154554 | number theory | |
| 1073 | no | open | yes | view | A256519 | number theory | |
| 1074 | no | open | yes | view | A063980, A064164 | number theory | |
| 1075 | no | open | no | view | N/A | hypergraphs | |
| 1076 | no | proved | no | view | possible | hypergraphs | |
| 1077 | no | disproved | yes | view | N/A | graph theory | |
| 1078 | no | proved | no | view | N/A | graph theory | |
| 1079 | no | solved | no | view | N/A | graph theory, turan number | |
| 1080 | no | disproved (Lean) | yes | view | possible | graph theory | |
| 1081 | no | disproved | no | view | A076871, A076872, possible | number theory, powerful | |
| 1082 | no | falsifiable | yes | view | possible | geometry, distances | |
| 1083 | no | open | no | view | A186704, possible | geometry, distances | |
| 1084 | no | open | yes | view | A045945, possible | geometry, distances | contact number problem |
| 1085 | no | open | yes | view | A186705, possible | geometry, distances | |
| 1086 | no | open | no | view | possible | geometry, distances | |
| 1087 | no | open | no | view | possible | geometry, distances | |
| 1088 | no | open | no | view | possible | geometry | |
| 1089 | no | solved | no | view | possible | geometry, distances | |
| 1090 | no | proved (Lean) | no | view | N/A | geometry, ramsey theory | |
| 1091 | no | solved | no | view | N/A | geometry, chromatic number | |
| 1092 | no | disproved | yes | view | N/A | geometry, chromatic number | |
| 1093 | no | open | yes | view | N/A | number theory, binomial coefficients | |
| 1094 | no | open | yes | view | N/A | number theory, binomial coefficients | |
| 1095 | no | open | yes | view | A003458 | number theory, binomial coefficients | |
| 1096 | no | proved | yes | view | N/A | number theory | |
| 1097 | no | open | yes | view | N/A | number theory, additive combinatorics | |
| 1098 | no | proved (Lean) | no | view | N/A | group theory | |
| 1099 | no | proved | no | view | N/A | number theory, divisors | |
| 1100 | no | open | no | view | A325864, possible | number theory, divisors | |
| 1101 | no | open | yes | view | N/A | number theory | |
| 1102 | no | solved (Lean) | yes | view | N/A | number theory | |
| 1103 | no | open | no | view | A392164 | number theory | |
| 1104 | no | open | yes | view | A292528 | graph theory, chromatic number | |
| 1105 | no | proved | yes | view | possible | graph theory, ramsey theory | |
| 1106 | no | open | yes | view | A194259, A194260 | number theory | |
| 1107 | no | open | yes | view | A056828, A392342, A392343, possible | number theory, powerful | |
| 1108 | no | open | yes | view | A051761, A115645, A025494 | number theory, factorials | |
| 1109 | no | open | no | view | A392164, A392165 | number theory | |
| 1110 | no | open | no | view | possible | number theory | |
| 1111 | no | open | no | view | possible | graph theory | |
| 1112 | no | open | no | view | N/A | additive combinatorics | |
| 1113 | no | open | yes | view | A076336 | number theory, covering systems | Sierpinski numbers |
| 1114 | no | proved | no | view | N/A | analysis, polynomials | |
| 1115 | no | solved | no | view | N/A | analysis | |
| 1116 | no | solved | no | view | N/A | analysis | |
| 1117 | no | open | no | view | N/A | analysis | |
| 1118 | no | solved | no | view | N/A | analysis | |
| 1119 | no | independent | no | view | N/A | analysis, set theory | |
| 1120 | no | open | no | view | N/A | analysis | |
| 1121 | no | proved (Lean) | no | view | N/A | geometry | |
| 1122 | no | open | no | view | N/A | number theory | |
| 1123 | $100 | independent | no | view | N/A | algebra | |
| 1124 | no | proved | no | view | N/A | geometry | |
| 1125 | no | proved (Lean) | no | view | N/A | analysis | |
| 1126 | no | proved (Lean) | no | view | N/A | analysis | |
| 1127 | no | independent | no | view | N/A | geometry, distances, set theory | |
| 1128 | $50 | disproved | no | view | N/A | set theory, ramsey theory, hypergraphs | |
| 1129 | no | proved | no | view | N/A | analysis, polynomials | |
| 1130 | no | proved | no | view | N/A | analysis, polynomials | |
| 1131 | no | open | no | view | N/A | analysis, polynomials | |
| 1132 | no | open | no | view | N/A | analysis, polynomials | |
| 1133 | no | open | no | view | N/A | analysis, polynomials | |
| 1134 | £10 | disproved | no | view | A185661 | number theory | |
| 1135 | $500 | open | yes | view | A006370, A008908 | number theory | Collatz conjecture |
| 1136 | no | proved (Lean) | no | view | N/A | number theory | |
| 1137 | no | open | yes | view | A083550, A005250 | number theory, primes | |
| 1138 | no | disproved (Lean) | no | view | possible | number theory, primes | |
| 1139 | no | open | yes | view | possible | number theory, primes | |
| 1140 | no | disproved | no | view | possible | number theory | |
| 1141 | no | disproved (Lean) | yes | view | A214583 | number theory, primes | |
| 1142 | no | open | yes | view | A039669 | number theory, primes | |
| 1143 | no | open | no | view | N/A | number theory, primes | |
| 1144 | no | open | no | view | N/A | number theory, probability | |
| 1145 | no | open | yes | view | N/A | additive combinatorics, additive basis | |
| 1146 | no | open | no | view | possible | number theory | |
| 1147 | no | disproved | no | view | N/A | irrational, additive basis | |
| 1148 | no | proved (Lean) | yes | view | A390380, A393168 | number theory | |
| 1149 | no | proved | no | view | N/A | number theory | |
| 1150 | no | open | yes | view | N/A | analysis, polynomials | |
| 1151 | no | open | no | view | N/A | analysis, polynomials | |
| 1152 | no | open | no | view | N/A | analysis, polynomials | |
| 1153 | no | proved | no | view | N/A | analysis, polynomials | |
| 1154 | no | not disprovable | no | view | N/A | analysis | |
| 1155 | no | open | no | view | N/A | graph theory | |
| 1156 | no | open | no | view | N/A | graph theory, chromatic number | |
| 1157 | no | open | no | view | possible | hypergraphs, turan number | |
| 1158 | no | open | no | view | possible | hypergraphs, turan number | |
| 1159 | no | open | no | view | N/A | combinatorics | |
| 1160 | no | open | no | view | A000001 | group theory | |
| 1161 | no | solved | no | view | possible | group theory | |
| 1162 | no | open | no | view | possible | group theory | |
| 1163 | no | open | no | view | N/A | group theory | ambiguous statement |
| 1164 | no | proved | no | view | N/A | probability | |
| 1165 | no | solved | no | view | N/A | probability | |
| 1166 | no | proved | no | view | possible | probability | |
| 1167 | no | open | no | view | N/A | set theory, probability | |
| 1168 | no | open | no | view | N/A | set theory, ramsey theory | |
| 1169 | no | not disprovable | no | view | N/A | set theory, ramsey theory | |
| 1170 | no | open | no | view | N/A | set theory, ramsey theory | |
| 1171 | no | open | no | view | N/A | set theory, ramsey theory | |
| 1172 | no | open | no | view | N/A | set theory, ramsey theory | |
| 1173 | no | open | no | view | N/A | set theory, combinatorics | |
| 1174 | no | not disprovable | no | view | N/A | set theory, ramsey theory | |
| 1175 | no | open | no | view | N/A | set theory, chromatic number | |
| 1176 | no | not disprovable | yes | view | N/A | set theory, chromatic number | |
| 1177 | no | open | no | view | N/A | set theory, chromatic number, hypergraphs | |
| 1178 | no | open | no | view | N/A | graph theory, hypergraphs | |
| 1179 | no | proved | no | view | N/A | additive combinatorics, probability | |
| 1180 | no | proved | no | view | N/A | number theory | |
| 1181 | no | open | no | view | possible | number theory | |
| 1182 | no | open | no | view | possible | graph theory, ramsey theory | |
| 1183 | no | open | no | view | possible | combinatorics, ramsey theory | |
| 1184 | no | open | no | view | possible | number theory, primes | |
| 1185 | no | solved | no | view | N/A | additive combinatorics, arithmetic progressions | |
| 1186 | no | open | no | view | possible | additive combinatorics, arithmetic progressions | |
| 1187 | no | solved | no | view | N/A | number theory, primes, additive combinatorics, arithmetic progressions | |
| 1188 | no | open | no | view | possible | number theory, covering systems | |
| 1189 | no | open | no | view | possible | number theory, covering systems | |
| 1190 | no | open | no | view | possible | number theory, covering systems | |
| 1191 | $1000 | open | no | view | possible | additive combinatorics, sidon sets | |
| 1192 | no | open | no | view | possible | additive combinatorics, additive basis | |
| 1193 | no | solved (Lean) | no | view | N/A | additive combinatorics | |
| 1194 | no | open | no | view | possible | additive combinatorics, additive basis, sidon sets | |
| 1195 | no | solved | no | view | possible | number theory | |
| 1196 | no | proved (Lean) | yes | view | possible | number theory, primitive sets | |
| 1197 | no | disproved (Lean) | no | view | N/A | analysis | |
| 1198 | no | disproved | no | view | N/A | additive combinatorics, ramsey theory | |
| 1199 | no | open | yes | view | possible | additive combinatorics, ramsey theory | |
| 1200 | no | open | no | view | possible | number theory, primes | |
| 1201 | no | open | no | view | possible | number theory, primes | |
| 1202 | no | solved | no | view | possible | number theory, primes | |
| 1203 | no | open | yes | view | possible | number theory | |
| 1204 | no | open | no | view | A008407, A023193, A135311, possible | number theory | |
| 1205 | no | solved | no | view | possible | number theory | |
| 1206 | no | open | no | view | possible | number theory, sidon sets | |
| 1207 | no | open | no | view | possible | geometry, distances | |
| 1208 | no | open | no | view | possible | geometry, distances | |
| 1209 | no | open | no | view | possible | number theory | |
| 1210 | no | open | yes | view | possible | number theory | |
| 1211 | no | solved | no | view | possible | number theory, ramsey theory | |
| 1212 | no | open | no | view | possible | number theory, primes | |
| 1213 | no | proved | no | view | possible | additive combinatorics | |
| 1214 | no | proved | no | view | N/A | number theory | |
| 1215 | no | disproved | no | view | N/A | analysis | |
| 1216 | no | disproved | no | view | possible | graph theory, ramsey theory | |
| 1217 | no | proved | no | view | N/A | number theory, divisors, primitive sets | |