@immortal_00994: 2026年开年以来,AI 以摧枯拉朽的速度完整解决了至少10个Erdős问题,如果把新解也考虑在内,那就是19个,数学科研的珍妮纺纱机已经出现了。 详情: 根据著名数学家陶哲轩维护的名叫 AI contributions to Erdős…

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摘要

2026年开年以来,AI以摧枯拉朽的速度完整解决了至少10个Erdős问题,若包括新解则达19个,被视为数学科研的珍妮纺纱机。

2026年开年以来,AI 以摧枯拉朽的速度完整解决了至少10个Erdős问题,如果把新解也考虑在内,那就是19个,数学科研的珍妮纺纱机已经出现了。 详情: 根据著名数学家陶哲轩维护的名叫 AI contributions to Erdős problems 的 wiki (最后一次更新在3月28日)统计,2026年1月–3月底,AI 在 Erdős 问题上的”完整解决”按四类分布: • 1(a) AI 自主首解(文献无前作):3 • 1(b) AI 解出,事后才发现已有文献:9 • 1(c) 已解问题的新证明:9 • 1(d) 人-AI 协作:6 共 27 条记录(跨类去重后26,#659 在 1(b) 和 1(d) 各出现一次) 不考虑事后发现已有文献的一类,再考虑OpenAI 在5月20日公布的著名硬骨头 #90 的突破等进展还未更新,AI 到2026年5月24日至少也已经完整解决了19个Erdős问题,生产队的驴都没这么勤。
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2026年开年以来,AI 以摧枯拉朽的速度完整解决了至少10个Erdős问题,如果把新解也考虑在内,那就是19个,数学科研的珍妮纺纱机已经出现了。

详情:

根据著名数学家陶哲轩维护的名叫 AI contributions to Erdős problems 的 wiki (最后一次更新在3月28日)统计,2026年1月–3月底,AI 在 Erdős 问题上的”完整解决”按四类分布: • 1(a) AI 自主首解(文献无前作):3 • 1(b) AI 解出,事后才发现已有文献:9 • 1(c) 已解问题的新证明:9 • 1(d) 人-AI 协作:6

共 27 条记录(跨类去重后26,#659 在 1(b) 和 1(d) 各出现一次)

不考虑事后发现已有文献的一类,再考虑OpenAI 在5月20日公布的著名硬骨头 #90 的突破等进展还未更新,AI 到2026年5月24日至少也已经完整解决了19个Erdős问题,生产队的驴都没这么勤。


teorth/erdosproblems

Source: https://github.com/teorth/erdosproblems

Erdős problem database

Browse the interactive table - Sort, filter, and search all the problems in the database

A community database for the problems on the erdosproblems.com site. We are particularly seeking community contributions regarding the integer sequences associated with these problems, and linking them to the OEIS.

The table below is auto-generated from the YAML file data/problems.yaml, which is the “ground truth” for this data as far as this repository is concerned.

For further discussion of this project, see this blog post (from Sep 1, 2025).

Several of the problems have received assistance from various AI tools. A list of such assistance can be found here.

Progress

Erdős Problems Progress

Table

There are 1217 problems in total, of which

  • 106 are attached to a monetary prize.
  • 323 have been proved.
    • 107 of these proofs have been formalized in Lean.
  • 132 have been disproved.
    • 56 of these disproofs have been formalized in Lean.
  • 82 have been otherwise solved.
    • 20 of these solutions have been formalized in Lean.
  • 3 appear to be open, but cannot be proven from the axioms of ZFC. (not provable)
  • 4 appear to be open, but cannot be disproven from the axioms of ZFC. (not disprovable)
  • 3 are known to be independent of the ZFC axioms of mathematics. (independent)
  • 9 appear to be open, but have been reduced to a finite computation. (decidable)
  • 27 appear to be open, but can be disproven by a finite computation if false. (falsifiable)
  • 7 appear to be open, but can be proven by a finite computation if true. (verifiable)
  • 627 appear to be completely open.
  • 7 have ambiguous statements.
  • 0 have a literature review requested.
  • 425 have their statements formalized in Lean in the Formal Conjectures Repository.
  • 311 have been linked to 385 distinct OEIS sequences, with a total of 462 links created.
    • 78 of these OEIS sequences were added since the creation of this database (A387000 onwards).
  • 326 are potentially related to an OEIS sequence not already listed.
    • 278 of these problems are not currently linked to any existing OEIS sequence.
  • 0 have a related sequence currently being submitted to the OEIS.
  • 1 have a related sequence whose generation is currently in progress.
#PrizeStatusFormalizedAI AttemptsOEISTagsComments
1$500openyesviewA276661number theory, additive combinatorics
2$1000disprovednoviewA160559number theory, covering systems
3$5000openyesviewA003002, A003003, A003004, A003005number theory, additive combinatorics, arithmetic progressions
4$10000provedyesviewA002386number theory, primes
5noopennoviewA001223number theory, primes
6$100provedyesviewA335277number theory, primes
7noverifiableyesviewN/Anumber theory, covering systems
8nodisprovednoviewN/Anumber theory, covering systems
9noopenyesviewA006286number theory, additive basis, primes
10noopenyesviewA387053number theory, additive basis, primes
11noopenyesviewA001220, A377587number theory, additive basis
12noopenyesviewN/Anumber theory
13$100provedyesviewA002264number theory
14noopenyesviewA143824, possiblenumber theory, sidon sets, additive combinatorics
15noopenyesviewN/Anumber theory, primes
16nodisproved (Lean)noviewA006285number theory, additive basis, primes
17noopenyesviewA038133number theory, primescluster primes
18noopenyesviewA005153number theory, divisors, factorialspractical numbers
19$500decidablenoviewN/Agraph theory, chromatic number
20$1000openyesviewA332077combinatoricssunflower conjecture
21$500provednoviewA391599combinatorics, intersecting family
22noprovednoviewpossiblegraph theory
23nofalsifiableyesviewA389646graph theory
24noproved (Lean)noviewpossiblegraph theory
25noopenyesviewN/Anumber theory
26nodisproved (Lean)yesviewN/Anumber theory, divisors
27$100disprovednoviewN/Anumber theory, covering systems
28$500openyesviewN/Anumber theory, additive basis
29$100provednoviewN/Anumber theory, additive basis
30$1000openyesviewA143824, A227590, A003022number theory, sidon sets, additive combinatorics
31noproved (Lean)noviewN/Anumber theory, additive basis
32noopenyesviewN/Anumber theory, additive basis
33noopenyesviewN/Anumber theory, additive basis
34nodisproved (Lean)noviewA389241, A234813, A390187number theory
35noprovednoviewN/Anumber theory, additive basis
36noopenyesviewA393584, possiblenumber theory, additive combinatoricsminimum overlap problem
37nodisprovednoviewN/Anumber theory, additive combinatorics
38noproved (Lean)yesviewN/Anumber theory
39$500openyesviewN/Anumber theory, sidon sets, additive combinatorics
40$500openyesviewN/Anumber theory, additive basis
41$500openyesviewN/Anumber theory, sidon sets, additive combinatorics
42nosolved (Lean)yesviewN/Anumber theory, sidon sets, additive combinatorics
43$100disprovedyesviewA143824, A227590, A003022, possiblenumber theory, sidon sets, additive combinatorics
44noopenyesviewN/Anumber theory, sidon sets, additive combinatorics
45noproved (Lean)noviewpossiblenumber theory, unit fractions, ramsey theory
46noproved (Lean)noviewN/Anumber theory, unit fractions, ramsey theory
47$100proved (Lean)noviewN/Anumber theory, unit fractions
48noprovedyesviewN/Anumber theory
49noprovednoviewA365339, A365474number theory, primes
50$250openyesviewN/Anumber theory
51noopenyesviewA002202, A014197number theory
52$250openyesviewA263996number theory, additive combinatoricssum-product problem
53noprovednoviewpossiblenumber theory, additive combinatorics
54$100solvednoviewN/Anumber theory, ramsey theory
55$250solvednoviewN/Anumber theory, ramsey theory
56$10disproved (Lean)yesviewN/Anumber theory, intersecting family
57noprovednoviewN/Agraph theory, chromatic number, cycles
58noprovednoviewN/Agraph theory, chromatic number, cycles
59nodisprovednoviewN/Agraph theory, turan number
60noopennoviewA006855graph theory, cycles
61noopenyesviewN/Agraph theory
62noopennoviewN/Agraph theory
63noprovednoviewN/Agraph theory, chromatic number, cycles
64$1000falsifiableyesviewN/Agraph theory, cycles
65noopennoviewN/Agraph theory, cycles
66$500openyesviewN/Anumber theory, additive basis
67$500provedyesviewA181740, A237695discrepancyErdős discrepancy problem
68noopenyesviewA331373number theory, irrationality
69noprovedyesviewA262153number theory, irrationality
70noopennoviewN/Agraph theory, ramsey theory, set theory
71noprovednoviewN/Agraph theory, cycles
72$100provednoviewN/Agraph theory, cycles
73noprovednoviewN/Agraph theory
74$500openyesviewN/Agraph theory, chromatic number, cycles
75noopenyesviewN/Agraph theory, chromatic number
76noprovednoviewA060407graph theory, ramsey theory
77$250opennoviewA059442graph theory, ramsey theory
78$100opennoviewA059442graph theory, ramsey theory
79noprovednoviewN/Agraph theory, ramsey theory
80noopennoviewN/Agraph theory, ramsey theory
81noopennoviewpossiblegraph theory
82noopenyesviewA120414, A390256, A390257, A390919, A392636, A394400, A394462, A394539, A394563, A394564, A394573, A394574, A394930, A394933graph theory
83$500provednoviewA071799, A387635combinatorics
84noopennoviewpossiblegraph theory, cycles
85noopenyesviewA006672, possiblegraph theory
86$100opennoviewA245762graph theory
87noopennoviewA059442, possiblegraph theory, ramsey theory
88$100provednoviewN/Agraph theory, ramsey theory
89$500openyesviewA186704, A131628geometry, distancesErdős distance problem
90$500disprovedyesviewA186705geometry, distancesunit distance problem
91noopenyesviewA186704, possiblegeometry, distances
92$500disprovedyesviewpossiblegeometry, distances
93noproved (Lean)noviewN/Ageometry, convex, distances
94£25proved (Lean)noviewA387858geometry, convex, distances
95$500provednoviewpossiblegeometry, convex, distances
96noopenyesviewpossiblegeometry, distances, convex
97$100falsifiableyesviewN/Ageometry, distances, convex
98noopenyesviewpossiblegeometry, distances
99$100openyesviewN/Ageometry, distances
100noopenyesviewN/Ageometry, distances
101$100openyesviewA006065, possiblegeometry
102noopennoviewN/Ageometry
103noopennoviewpossiblegeometry, distances
104$100opennoviewA003829geometry
105$50disproved (Lean)noviewN/Ageometry
106nofalsifiablenoviewN/Ageometry
107$500falsifiableyesviewA000051geometry, convex‘Happy Ending’ problem
108noopenyesviewpossiblegraph theory, chromatic number, cycles
109noprovedyesviewN/Aadditive combinatoricsErdős sumset conjecture
110nodisprovednoviewN/Agraph theory, chromatic number, cycles
111noopennoviewN/Agraph theory, chromatic number, set theory
112noopennoviewpossiblegraph theory, ramsey theory
113$500disprovednoviewN/Agraph theory, turan number
114$250falsifiablenoviewN/Apolynomials, analysis
115noproved (Lean)noviewN/Apolynomials, analysis
116noprovednoviewN/Apolynomials, analysis
117noopennoviewpossiblegroup theory
118nodisprovednoviewN/Aset theory, ramsey theory
119$100openyesviewN/Aanalysis, polynomials
120$100openyesviewN/AcombinatoricsErdős similarity problem
121nodisprovednoviewA028391, A013928, A372306, A373319, A372306, A373178, A360659, A373114, A143301number theory, squares
122noopennoviewN/Anumber theory
123$250openyesviewN/Anumber theory
124noopenyesviewN/Anumber theory, base representations
125nodisproved (Lean)yesviewA367090number theory, base representations
126$250openyesviewpossiblenumber theory
127noprovednoviewpossiblegraph theory
128$250falsifiableyesviewN/Agraph theory
129noopennoviewpossiblegraph theory, ramsey theoryambiguous statement
130noopennoviewN/Agraph theory, chromatic number
131noopennoviewA068063number theory
132$100opennoviewN/Adistances
133nodisprovednoviewpossiblegraph theory
134noproved (Lean)noviewN/Agraph theory
135$250disprovednoviewpossibledistances, geometry
136nosolvednoviewpossiblegraph theory
137noopenyesviewN/Anumber theory
138$500openyesviewA005346additive combinatorics
139$1000provedyesviewA003002, A003003, A003004, A003005additive combinatorics, arithmetic progressionsSzemerédi’s theorem
140$500provednoviewA003002additive combinatorics, arithmetic progressions
141noopenyesviewA006560additive combinatorics, primes, arithmetic progressions
142$10000openyesviewA003002, A003003, A003004, A003005additive combinatorics, arithmetic progressions
143$500openyesviewN/Aprimitive sets
144$250provednoviewA005279number theory, divisors
145noopenyesviewA005117number theory
146$500opennoviewN/Agraph theory, turan number
147$500disprovednoviewN/Agraph theory, turan number
148noopennoviewA076393, A006585number theory, unit fractions
149noopennoviewN/Agraph theory
150noproved (Lean)noviewpossiblegraph theory
151noopennoviewpossiblegraph theory
152noprovedyesviewN/Asidon sets
153noopenyesviewN/Asidon sets
154noproved (Lean)noviewN/Asidon sets
155noopenyesviewA143824, A227590, A003022additive combinatorics, sidon sets
156noopennoviewA382397sidon sets
157noprovednoviewN/Asidon sets
158noopenyesviewN/Asidon sets
159noopennoviewpossiblegraph theory, ramsey theory
160noopenyesviewpossibleadditive combinatorics, arithmetic progressions
161$500opennoviewN/Acombinatorics, ramsey theory, discrepancy
162noopennoviewN/Acombinatorics, ramsey theory, discrepancy
163noprovednoviewN/Agraph theory, ramsey theoryBurr-Erdős conjecture
164noproved (Lean)noviewA137245number theory, primitive sets
165$250opennoviewA000791graph theory, ramsey theory
166$250provednoviewA059442graph theory, ramsey theory
167nofalsifiablenoviewN/Agraph theory
168noopenyesviewA004059, A057561, A094708, A386439additive combinatorics
169noopennoviewA005346additive combinatorics, arithmetic progressions
170noopenyesviewA046693additive combinatoricssparse ruler problem
171noprovednoviewA156989additive combinatorics, combinatoricsdensity Hales-Jewett
172noopenyesviewN/Aadditive combinatorics, ramsey theory
173noopennoviewN/Ageometry, ramsey theory
174noopennoviewN/Ageometry, ramsey theory
175noprovednoviewN/Anumber theory, binomial coefficients
176noopennoviewpossibleadditive combinatorics, arithmetic progressions, discrepancy
177noopennoviewN/Adiscrepancy, arithmetic progressions
178noproved (Lean)noviewN/Adiscrepancy
179noprovednoviewpossibleadditive combinatorics, arithmetic progressions
180noopennoviewN/Agraph theory, turan number
181noopennoviewpossiblegraph theory, ramsey theory
182noprovednoviewpossiblegraph theory
183$250opennoviewA003323graph theory, ramsey theory
184noopenyesviewpossiblegraph theory, cycles
185noprovednoviewA003142additive combinatorics
186nosolvednoviewA389784additive combinatorics
187noopennoviewN/Aadditive combinatorics, ramsey theory
188noopenyesviewN/Ageometry, ramsey theory
189nodisproved (Lean)yesviewN/Ageometry, ramsey theory
190noopennoviewpossibleadditive combinatorics, arithmetic progressions
191noprovednoviewN/Acombinatorics, ramsey theory
192nosolved (Lean)noviewN/Aarithmetic progressions, combinatorics
193noopenyesviewA231255geometry
194nodisproved (Lean)yesviewN/Aarithmetic progressions
195noopenyesviewN/Aarithmetic progressions
196noopenyesviewN/Aarithmetic progressions
197noopenyesviewN/Aarithmetic progressions
198nodisproved (Lean)yesviewN/Aadditive combinatorics, sidon sets, arithmetic progressions
199nodisproved (Lean)noviewN/Aarithmetic progressions
200noopenyesviewA005115primes, arithmetic progressions
201noopennoviewA003002, A003003, A003004, A003005, possibleadditive combinatorics, arithmetic progressions
202noopennoviewA389975covering systems
203noopenyesviewN/Aprimes, covering systems
204nodisproved (Lean)yesviewN/Acovering systems
205nodisproved (Lean)noviewpossiblenumber theory
206nodisproved (Lean)noviewN/Anumber theory, unit fractions
207noprovednoviewN/Acombinatorics, hypergraphs
208noopenyesviewA005117, A076259number theory
209nodisprovednoviewN/Ageometry
210noprovednoviewA003034geometry
211$100provednoviewN/Ageometry
212noopenyesviewN/Ageometry, distances
213noopenyesviewN/Ageometry, distances
214noproved (Lean)noviewN/Ageometry, distances
215noprovednoviewN/Ageometry
216nodisprovednoviewA381776geometry, convex
217noopennoviewpossiblegeometry, distances
218noopenyesviewA333230, A333231, A064113number theory, primes
219noprovedyesviewA005115, A113827, A123556number theory, additive combinatorics, primes, arithmetic progressionsGreen-Tao theorem
220$500provednoviewA322144number theory
221noproved (Lean)noviewN/Anumber theory, additive basis
222noopennoviewA256435number theory, squares
223nosolvednoviewpossiblegeometry, distances
224noproved (Lean)noviewN/Ageometry
225noprovednoviewN/Aanalysis
226noproved (Lean)noviewN/Aanalysis
227nodisprovednoviewN/Aanalysis
228noprovedyesviewN/Aanalysis, polynomials
229noproved (Lean)yesviewN/Aanalysis, iterated functions
230nodisprovednoviewN/Aanalysis, polynomials
231nodisproved (Lean)noviewN/Acombinatorics
232noprovednoviewN/Ageometry, distances
233noopenyesviewA074741number theory, primes
234noopenyesviewN/Anumber theory, primes
235noprovednoviewN/Anumber theory
236noopenyesviewA039669, A109925number theory, primes
237noproved (Lean)noviewN/Anumber theory, primes
238noopenyesviewN/Anumber theory, primes
239noprovedyesviewN/Anumber theory
240noprovednoviewN/Anumber theory, primes
241$100openyesviewA387704additive combinatorics, sidon sets
242nofalsifiableyesviewA073101, A075245, A075246, A075247, A075248, A287116number theory, unit fractionsErdős-Straus conjecture
243noopenyesviewA000058number theory
244noopenyesviewN/Anumber theory, primes
245noprovedyesviewN/Aadditive combinatorics
246noproved (Lean)noviewN/Anumber theory
247noopenyesviewN/Anumber theory, irrationality
248noprovedyesviewN/Anumber theory
249noopenyesviewA256936number theory, irrationality
250noprovedyesviewA066766number theory, irrationality
251noopenyesviewA098990number theory, irrationality
252noopenyesviewA227988, A227989, possiblenumber theory, irrationality
253nodisprovedyesviewN/Anumber theory
254noopenyesviewN/Anumber theory
255noprovednoviewN/Adiscrepancy
256noopennoviewN/Aanalysis
257noopenyesviewN/Airrationality
258noproved (Lean)yesviewN/Airrationality
259noproved (Lean)yesviewA371134irrationality
260noopenyesviewN/Airrationality
261noopennoviewN/Anumber theory
262nosolvednoviewN/Airrationality
263noopenyesviewN/Airrationality
264noopenyesviewN/Airrationality
265noopennoviewN/Airrationality
266nodisprovedyesviewN/Airrationality
267noopenyesviewN/Airrationality
268noproved (Lean)yesviewN/Anumber theory
269noopenyesviewN/Airrationality
270nodisprovednoviewA073016irrationality
271noopennoviewA005487additive combinatorics, arithmetic progressionsStanley sequences
272noopenyesviewpossibleadditive combinatorics, arithmetic progressions
273noopenyesviewN/Anumber theory, covering systems
274noopenyesviewN/Agroup theory, covering systemsHerzog-Schönheim conjecture
275noproved (Lean)yesviewN/Anumber theory, covering systems
276noopenyesviewN/Anumber theory, covering systems
277noprovedyesviewN/Anumber theory, covering systems
278noopennoviewN/Anumber theory, covering systems
279noopenyesviewN/Anumber theory, covering systems, primes
280nodisproved (Lean)noviewN/Anumber theory, covering systems
281noproved (Lean)noviewN/Anumber theory, covering systems
282noopenyesviewN/Anumber theory, unit fractions
283noproved (Lean)yesviewA380791number theory, unit fractions
284noprovednoviewpossiblenumber theory, unit fractions
285noprovedyesviewA030659number theory, unit fractions
286noprovednoviewN/Anumber theory, unit fractions
287nofalsifiablenoviewN/Anumber theory, unit fractions
288noopenyesviewN/Anumber theory, unit fractions
289noopenyesviewN/Anumber theory, unit fractions
290noproved (Lean)noviewA375081number theory, unit fractions
291noopennoviewA110566number theory, unit fractions
292noprovednoviewA092671number theory, unit fractions
293noopennoviewpossiblenumber theory, unit fractions
294noprovednoviewpossiblenumber theory, unit fractions
295noopenyesviewA192881number theory, unit fractions
296noproved (Lean)noviewpossiblenumber theory, unit fractions
297nosolvednoviewA092670number theory, unit fractions
298noproved (Lean)yesviewN/Anumber theory, unit fractions
299nodisproved (Lean)yesviewN/Anumber theory, unit fractions
300nosolvednoviewA390393number theory, unit fractions
301noopennoviewA390394number theory, unit fractions
302noopennoviewA390395number theory, unit fractions
303noproved (Lean)yesviewN/Anumber theory, unit fractions
304noopenyesviewA097847, A097849number theory, unit fractions
305noprovednoviewpossiblenumber theory, unit fractions
306noopenyesviewN/Anumber theory, unit fractions
307noverifiableyesviewN/Anumber theory, unit fractions
308noprovednoviewpossiblenumber theory, unit fractions
309nodisprovednoviewA217693number theory, unit fractions
310noprovednoviewN/Anumber theory, unit fractions
311noopennoviewN/Anumber theory, unit fractions
312noopenyesviewN/Anumber theory, unit fractions
313noopenyesviewA054377number theory, unit fractions
314noproved (Lean)noviewN/Anumber theory, unit fractions
315noproved (Lean)noviewA000058, A076393number theory, unit fractions
316nodisproved (Lean)yesviewN/Anumber theory, unit fractions
317noopenyesviewN/Anumber theory, unit fractions
318nosolvedyesviewN/Anumber theory, unit fractions
319noopenyesviewpossiblenumber theory, unit fractions
320noopennoviewA072207number theory, unit fractions
321noopenyesviewA384927, A391592number theory, unit fractions
322noopennoviewA025456, A025418number theory, powers
323noopenyesviewpossiblenumber theory, powers
324noopenyesviewN/Anumber theory, powers
325noopenyesviewpossiblenumber theory, powers
326noopenyesviewN/Anumber theory, additive basis
327noopennoviewA384927number theory, unit fractions
328nodisprovednoviewN/Anumber theory, additive combinatorics
329noopenyesviewpossiblenumber theory
330noproved (Lean)yesviewN/Anumber theory, additive basis
331nodisproved (Lean)yesviewN/Anumber theory, additive combinatorics
332noopenyesviewN/Anumber theory
333nodisproved (Lean)noviewN/Anumber theory, additive basis
334noopennoviewA062241, A045535number theory
335noopennoviewN/Anumber theory, additive combinatorics
336noopennoviewpossiblenumber theory, additive basis
337nodisproved (Lean)noviewN/Anumber theory, additive combinatorics, additive basis
338noopennoviewN/Anumber theory, additive basis
339noprovednoviewN/Anumber theory, additive basis
340noopenyesviewA080200, A005282number theory, additive combinatorics, sidon sets
341noopenyesviewN/Anumber theory
342noopenyesviewA002858number theory
343noprovednoviewN/Anumber theory, complete sequences
344noprovednoviewN/Anumber theory, complete sequences
345noopennoviewA001661number theory, complete sequences
346noopenyesviewN/Anumber theory, complete sequences
347noproved (Lean)yesviewN/Anumber theory, complete sequences
348noopenyesviewN/Anumber theory, complete sequences
349noopenyesviewN/Anumber theory, complete sequences
350noproved (Lean)yesviewN/Anumber theory, additive combinatorics
351noproved (Lean)yesviewN/Anumber theory, complete sequences
352noopenyesviewN/Ageometry
353noprovednoviewN/Ageometry
354noopenyesviewN/Anumber theory
355noproved (Lean)yesviewN/Anumber theory, unit fractions
356noprovednoviewpossiblenumber theory
357noopenyesviewA364132, A364153, possiblenumber theory
358noprovedyesviewpossiblenumber theory, additive basis, primes
359noopenyesviewA002048number theorysegmented numbers
360nosolvednoviewpossiblenumber theory
361noopenyesviewpossiblenumber theory
362noprovednoviewpossiblenumber theory
363nodisproved (Lean)noviewN/Anumber theory
364noverifiableyesviewA060355, A076445number theory
365noopennoviewA060355, A060859, A175155number theory
366noverifiableyesviewA060355number theory
367noopennoviewA057521number theory
368noopennoviewA074399number theory
369noproved (Lean)noviewN/Anumber theory
370noproved (Lean)yesviewN/Anumber theory
371noopenyesviewA070089number theory
372noprovednoviewA071870number theory
373noopenyesviewA003135number theory, factorials
374noopennoviewA388851, A387184, A389117, A389148number theory
375nofalsifiableyesviewN/Anumber theory
376noopenyesviewA030979number theory, binomial coefficients, base representations
377noopenyesviewN/Anumber theory, binomial coefficients
378noprovednoviewN/Anumber theory, binomial coefficients
379noproved (Lean)yesviewpossiblenumber theory, binomial coefficients
380noprovednoviewA070003, A388654, A387054, A389100number theory
381nodisprovednoviewA002182number theory, divisors
382noopennoviewA388850number theory
383noopenyesviewN/Anumber theory
384noprovednoviewN/Anumber theory, binomial coefficients
385noopenyesviewA322292number theory
386noopenyesviewA280992number theory, binomial coefficients
387noopenyesviewN/Anumber theory, binomial coefficients
388noopennoviewN/Anumber theory
389noopenyesviewA375071number theory
390noopenyesviewA193429number theory, factorials
391noprovednoviewA034258, A034259number theory, factorials
392noproved (Lean)yesviewpossiblenumber theory, factorials
393noopennoviewA388302number theory, factorials
394noopenyesviewA344005number theory
395noprovednoviewN/Aanalysisreverse Littlewood-Offord problem
396noopenyesviewA375077number theory, binomial coefficients
397nodisproved (Lean)yesviewN/Anumber theory, binomial coefficients
398nofalsifiableyesviewA146968, A141399number theory, factorialsBrocard-Ramanujan conjecture
399nodisproved (Lean)yesviewN/Anumber theory, factorials
400noopenyesviewpossiblenumber theory, factorials
401noproved (Lean)noviewN/Anumber theory, factorials
402noprovedyesviewN/Anumber theory
403noprovednoviewN/Anumber theory, factorials
404noopennoviewN/Anumber theory, factorials
405noprovednoviewN/Anumber theory, factorials
406noopenyesviewN/Anumber theory, base representations
407noprovednoviewpossible, A387688number theory
408noopennoviewA049108number theory, iterated functions
409noopenyesviewA039651, A229487number theory, iterated functions
410noopenyesviewA007497, possiblenumber theory, iterated functions
411noopennoviewA383044, possiblenumber theory, iterated functions
412noopenyesviewA007497, A051572number theory, iterated functions
413noopenyesviewA005236number theory, iterated functions
414noopenyesviewA064491, possiblenumber theory, iterated functions
415noopennoviewpossiblenumber theory
416noopenyesviewA264810number theory
417noopenyesviewA264810, A061070number theory
418noproved (Lean)yesviewA005278, A263958number theory
419nosolved (Lean)noviewN/Anumber theory, factorials
420noopennoviewN/Anumber theory
421noopenyesviewA389544, A390848number theory
422noopenyesviewA005185number theory
423noopennoviewA005243number theory
424noopenyesviewA005244number theory
425noopennoviewpossiblenumber theory, sidon sets
426$25disproved (Lean)noviewpossiblegraph theory
427noproved (Lean)yesviewN/Anumber theory, primes
428noopenyesviewN/Anumber theory, primes
429nodisproved (Lean)noviewN/Anumber theory
430noopennoviewpossiblenumber theory
431noopennoviewN/Anumber theory, primesinverse Goldbach problem
432noopennoviewN/Anumber theory
433noproved (Lean)noviewpossiblenumber theory
434noproved (Lean)yesviewpossiblenumber theory
435noproved (Lean)noviewA389479number theory
436noopennoviewA000445, possiblenumber theory
437noprovednoviewpossiblenumber theory
438nosolvednoviewA363069number theory
439noprovednoviewN/Anumber theory, ramsey theory
440nosolvednoviewN/Anumber theory
441nodisprovednoviewA068509number theory
442nodisprovedyesviewN/Anumber theory
443noproved (Lean)noviewN/Anumber theory
444noprovednoviewN/Anumber theory, divisors
445noopenyesviewN/Anumber theory
446nosolvednoviewA074738number theory, divisors
447noproved (Lean)noviewpossiblecombinatorics
448nodisprovednoviewpossiblenumber theory, divisors
449nodisprovednoviewpossiblenumber theory, divisors
450noopennoviewN/Anumber theory, divisors
451noopennoviewA386620number theory
452noopennoviewpossiblenumber theory
453nodisproved (Lean)noviewN/Anumber theory
454noopenyesviewA389676, A389677number theory, primes
455noopenyesviewN/Anumber theory
456noopennoviewpossiblenumber theory
457noproved (Lean)yesviewA391668number theory
458nofalsifiableyesviewA056604number theory, primes
459nosolved (Lean)noviewA289280number theory, primes
460noopennoviewN/Anumber theoryambiguous statement
461noopennoviewpossiblenumber theory, primes
462noopennoviewA032742, possiblenumber theory, primes
463noopenyesviewpossiblenumber theory, primes
464noprovednoviewN/Anumber theory
465noprovednoviewN/Anumber theory
466noprovednoviewN/Anumber theory
467noopennoviewN/Anumber theoryambiguous statement
468noopennoviewA167485, A387502, A387503number theory, divisors
469noopenyesviewA006036, A119425, possiblenumber theory, divisors
470$10openyesviewA006037, A002975number theory, divisors
471noprovednoviewpossiblenumber theory
472noopennoviewA389713, possiblenumber theory
473noprovednoviewA055265number theory
474$100not provablenoviewN/Aset theory, ramsey theory
475nodecidablenoviewN/Anumber theory, additive combinatorics
476noproved (Lean)noviewN/Anumber theory, additive combinatorics
477noopenyesviewN/Anumber theory
478noopennoviewA210184number theory, factorials
479noopenyesviewA036236, A015919, A050259, A015921, A006521, A006517, A015940number theory
480noprovedyesviewN/Anumber theory
481noproved (Lean)noviewN/Anumber theory
482nosolvednoviewA004539number theory
483noopennoviewA030126number theory, additive combinatorics, ramsey theory
484noproved (Lean)noviewN/Anumber theory, additive combinatorics, ramsey theory
485noprovednoviewpossibleanalysis, polynomials
486noopenyesviewN/Anumber theory, primitive sets
487noproved (Lean)noviewN/Anumber theory
488nofalsifiableyesviewN/Anumber theory
489noopenyesviewN/Anumber theory
490noprovednoviewN/Anumber theory
491noprovednoviewN/Anumber theory
492nodisprovednoviewN/Anumber theory
493noproved (Lean)noviewN/Anumber theory
494noprovedyesviewN/Aanalysis, additive combinatorics
495noopenyesviewN/Adiophantine approximation, number theoryLittlewood conjecture
496noprovednoviewN/Anumber theory, diophantine approximation
497nosolved (Lean)noviewA000372combinatoricsDedekind’s problem
498noproved (Lean)noviewN/Acombinatorics, analysisstrong Littlewood-Offord problem
499noproved (Lean)yesviewN/Acombinatorics
500$500opennoviewA140462graph theory, hypergraphs, turan number
501noopenyesviewN/Acombinatorics, set theory
502nosolved (Lean)noviewA027627geometry, distances
503noopenyesviewA175769geometry, distances
504nosolvednoviewN/AgeometryBlumenthal’s problem
505nodisproved (Lean)yesviewpossiblegeometryBorsuk’s problem
506nodecidablenoviewpossiblegeometry
507noopenyesviewN/AgeometryHeilbronn’s triangle problem
508noopenyesviewN/Ageometry, ramsey theoryHadwiger-Nelson problem
509noopenyesviewN/Aanalysis
510noopenyesviewN/AanalysisChowla’s cosine problem
511nodisprovednoviewN/Aanalysis
512noprovednoviewN/AanalysisLittlewood’s conjecture
513noopenyesviewN/Aanalysis
514noopennoviewN/Aanalysis
515noprovednoviewN/Aanalysis
516noprovedyesviewN/Aanalysis
517noopenyesviewN/Aanalysis
518noprovednoviewN/Agraph theory, ramsey theory
519noproved (Lean)noviewN/Aanalysis
520noopenyesviewN/Anumber theory, probability
521noopennoviewN/Aanalysis, polynomials, probability
522noopenyesviewN/Aanalysis, polynomials, probability
523noprovednoviewN/Aanalysis, probability, polynomials
524noopennoviewN/Aanalysis, probability, polynomials
525noprovednoviewpossibleanalysis, probability, polynomials
526nosolvednoviewN/Aprobability, geometry
527noprovednoviewN/Aanalysis, probability
528noopennoviewA387897, A156816geometry
529noopennoviewN/Ageometry, probability
530noopennoviewA143824, possiblenumber theory, sidon sets
531noopennoviewpossiblenumber theory, ramsey theory
532noproved (Lean)noviewN/Anumber theory, ramsey theory
533nodisprovednoviewN/Agraph theory
534nosolvednoviewA387543, A387698number theory, intersecting family
535noopenyesviewpossiblenumber theory
536noopenyesviewpossiblenumber theory
537nodisproved (Lean)noviewpossiblenumber theory
538noopennoviewN/Anumber theory
539noopenyesviewpossiblenumber theory
540noproved (Lean)noviewA034463number theory
541noproved (Lean)yesviewN/Anumber theory
542nosolvednoviewN/Anumber theory
543nodisprovednoviewpossiblenumber theory, group theory
544noopennoviewA000791graph theory, ramsey theory
545noopennoviewA059442, possiblegraph theory, ramsey theory
546noprovednoviewpossiblegraph theory, ramsey theory
547nodecidablenoviewN/Agraph theory, ramsey theory
548nofalsifiablenoviewN/Agraph theory
549nodisprovednoviewN/Agraph theory, ramsey theory
550noopennoviewN/Agraph theory, ramsey theory
551nodecidablenoviewN/Agraph theory, ramsey theory
552noopennoviewA006672graph theory, ramsey theory
553noprovednoviewA000791, possiblegraph theory, ramsey theory
554noopennoviewpossiblegraph theory, ramsey theory
555noopennoviewA389313, possiblegraph theory, ramsey theory
556nodecidablenoviewA389335graph theory, ramsey theory
557noopennoviewN/Agraph theory, ramsey theory
558noopennoviewpossiblegraph theory, ramsey theory
559nodisprovednoviewpossiblegraph theory, ramsey theory
560noopennoviewpossiblegraph theory, ramsey theory
561noopennoviewN/Agraph theory, ramsey theory
562noopenyesviewpossiblegraph theory, ramsey theory, hypergraphs
563noopennoviewN/Agraph theory, ramsey theory, hypergraphs
564$500openyesviewpossiblegraph theory, ramsey theory, hypergraphs
565noprovednoviewpossiblegraph theory, ramsey theory
566noopenyesviewN/Agraph theory, ramsey theory
567noopenyesviewN/Agraph theory, ramsey theory
568noopennoviewN/Agraph theory, ramsey theory
569noopennoviewN/Agraph theory, ramsey theory
570noprovednoviewN/Agraph theory, ramsey theory
571noopennoviewN/Agraph theory, turan number
572noopennoviewpossiblegraph theory, turan number
573noopennoviewA006856graph theory, turan number
574nodisprovednoviewpossiblegraph theory, turan number
575noopennoviewN/Agraph theory, turan number
576noopennoviewpossiblegraph theory, turan number
577noprovednoviewN/Agraph theory
578noprovednoviewN/Agraph theory
579noopennoviewN/Agraph theory, turan number
580nodecidablenoviewN/Agraph theory
581nosolvednoviewpossiblegraph theory
582$100proved (Lean)noviewN/Agraph theory, ramsey theory
583nofalsifiablenoviewN/Agraph theory
584noopennoviewN/Agraph theory, cycles
585noopennoviewpossiblegraph theory, cycles
586nodisprovednoviewN/Anumber theory, covering systems
587nosolvedyesviewA372040number theory
588$100opennoviewA006065, A008997geometry
589noopennoviewpossiblegeometry
590$250provedyesviewN/Aset theory, ramsey theory
591$250provedyesviewN/Aset theory, ramsey theory
592$1000openyesviewN/Aset theory, ramsey theory
593$500openyesviewN/Aset theory, graph theory, hypergraphs, chromatic number
594noprovednoviewN/Agraph theory, set theory
595$250openyesviewN/Agraph theory, set theory
596noopennoviewN/Agraph theory, ramsey theory, set theory
597noopennoviewN/Agraph theory, ramsey theory, set theory
598noopenyesviewN/Aset theory, ramsey theory
599noprovednoviewN/Agraph theory, set theoryErdős-Menger conjecture
600noopennoviewpossiblegraph theory
601$500opennoviewN/Agraph theory, set theory
602noopenyesviewN/Acombinatorics, set theoryProperty B
603noopennoviewN/Acombinatorics, set theory
604$500opennoviewpossiblegeometry, distancespinned distance problem
605noprovednoviewpossiblegeometry, distances
606nosolvednoviewN/Ageometry
607$250provednoviewpossiblegeometry
608nodisprovednoviewN/Agraph theory
609noopennoviewpossiblegraph theory, ramsey theory
610noopennoviewpossiblegraph theory
611noopennoviewN/Agraph theory
612noopennoviewN/Agraph theory
613nodisproved (Lean)yesviewN/Agraph theory
614noopennoviewpossiblegraph theory
615nodisprovednoviewpossiblegraph theory, ramsey theory
616noopennoviewN/Agraph theory
617nofalsifiableyesviewN/Agraph theory
618noproved (Lean)noviewN/Agraph theory
619noopennoviewN/Agraph theory
620noopennoviewpossiblegraph theoryErdős-Rogers problem
621noproved (Lean)noviewN/Agraph theory
622noprovednoviewpossiblegraph theory
623noopenyesviewN/Aset theory
624noopenyesviewpossiblecombinatorics
625$1000opennoviewN/Agraph theory, chromatic number
626noopennoviewpossiblegraph theory, chromatic number, cycles
627noopennoviewpossiblegraph theory, chromatic number
628nofalsifiablenoviewN/Agraph theory, chromatic numberErdős-Lovász Tihany Conjecture
629noopennoviewpossiblegraph theory, chromatic number
630noprovednoviewN/Agraph theory, chromatic number
631noprovednoviewN/Agraph theory, chromatic number
632nodisprovednoviewN/Agraph theory, chromatic number
633$25solvedyesviewN/Ageometry
634$25opennoviewpossiblegeometry
635noopennoviewN/Anumber theory
636noprovednoviewN/Agraph theory, ramsey theory
637noprovednoviewN/Agraph theory, ramsey theory
638noopennoviewN/Agraph theory, ramsey theory
639noproved (Lean)noviewN/Agraph theory, ramsey theory
640noopennoviewN/Agraph theory, chromatic number
641nodisprovednoviewN/Agraph theory
642noopennoviewpossiblegraph theory, cycles
643noopennoviewpossiblegraph theory, hypergraphs
644noopennoviewpossiblecombinatorics
645noproved (Lean)yesviewN/Anumber theory, additive combinatorics, ramsey theory
646noproved (Lean)noviewN/Anumber theory, factorials
647£25verifiableyesviewA062249, A087280number theory
648nosolved (Lean)noviewA391750number theory
649nodisproved (Lean)noviewpossiblenumber theory
650nosolved (Lean)noviewA027434number theory
651nodisprovednoviewpossiblegeometry, convex
652noprovednoviewN/Ageometry, distances
653noopenyesviewpossiblegeometry, distances
654noopennoviewpossiblegeometry, distances
655noopenyesviewpossiblegeometry, distancesambiguous statement
656noprovednoviewN/Anumber theory, additive combinatorics
657noopennoviewpossiblegeometry, distances
658noproved (Lean)noviewpossibleadditive combinatorics
659noproved (Lean)yesviewpossiblegeometry, distances
660noopennoviewpossiblegeometry, distances, convexambiguous statement
661$50opennoviewpossiblegeometry, distances
662noopennoviewN/Ageometry, distancesambiguous statement
663noopennoviewA391668number theory
664nodisprovednoviewN/Acombinatorics
665noopennoviewN/Acombinatorics
666nodisproved (Lean)noviewpossiblegraph theory
667noopennoviewN/Agraph theory, ramsey theory
668noopennoviewA385657geometry, distances
669noopennoviewA003035, A006065, A008997, possiblegeometryorchard problems
670noopennoviewN/Ageometry, distances
671$250opennoviewN/Aanalysis
672noverifiableyesviewN/Anumber theory
673noprovednoviewN/Anumber theory, divisors
674noproved (Lean)noviewN/Anumber theory
675noopennoviewN/Anumber theory
676noopennoviewA390181, in progressnumber theory
677noopenyesviewpossiblenumber theory
678noproved (Lean)yesviewpossiblenumber theory
679noopennoviewN/Anumber theory
680noopenyesviewN/Anumber theory, primes
681noopenyesviewA389680number theory, primes
682noprovednoviewA386978number theory, primes
683noopenyesviewA006530, A074399, A121359, possiblenumber theory, primes, binomial coefficients
684noopennoviewA392019, possiblenumber theory, primes, binomial coefficients
685noopennoviewN/Anumber theory, primes, binomial coefficients
686noopenyesviewN/Anumber theory
687$1000opennoviewA048670, A058989number theory
688noopenyesviewN/Anumber theory
689noopenyesviewN/Anumber theory
690nosolvednoviewpossiblenumber theory
691noopennoviewN/Anumber theory
692nodisproved (Lean)noviewN/Anumber theory, divisors
693noopennoviewA391118, possiblenumber theory, divisors
694nosolved (Lean)yesviewpossiblenumber theory
695noopenyesviewA061092number theory
696nosolved (Lean)noviewpossiblenumber theory, divisors
697noprovedyesviewN/Anumber theory, divisors
698noproved (Lean)noviewpossiblenumber theory, binomial coefficients
699nofalsifiableyesviewN/Anumber theory, binomial coefficients
700noopennoviewA091963, possiblenumber theory, binomial coefficients
701noopenyesviewN/Acombinatorics, intersecting family
702noprovednoviewN/Acombinatorics
703$250provednoviewA390645combinatorics
704noopennoviewN/Agraph theory, geometry, chromatic number
705nodisprovedyesviewN/Agraph theory, chromatic number
706noopennoviewpossiblegraph theory, chromatic number
707$1000disproved (Lean)yesviewN/Aadditive combinatorics, sidon sets
708$100opennoviewpossiblenumber theory
709noopennoviewpossiblenumber theory
710₹2000opennoviewA390246number theory
711₹1000opennoviewpossiblenumber theory
712$500opennoviewpossiblegraph theory, turan number, hypergraphs
713$500opennoviewN/Agraph theory, turan number
714noopennoviewpossiblegraph theory, turan number
715noprovednoviewN/Agraph theory
716noprovednoviewpossiblegraph theory, hypergraphsRuzsa-Szemerédi problem
717noprovednoviewN/Agraph theory
718noprovednoviewN/Agraph theory
719noopennoviewpossiblegraph theory, hypergraphs
720$100provednoviewpossiblegraph theory, ramsey theory
721nosolvednoviewA171081number theory, additive combinatorics, ramsey theory
722noprovednoviewN/Acombinatorics
723nofalsifiableyesviewN/Acombinatorics
724noopennoviewA001438combinatorics
725noopennoviewA001009combinatorics
726noopennoviewN/Anumber theory
727noopenyesviewA002503, A343507, A389396number theory, factorials
728noproved (Lean)yesviewN/Anumber theory, factorials
729noproved (Lean)noviewN/Anumber theory, factorials
730noopenyesviewA129515number theory, binomial coefficients, base representations
731noopennoviewA006197number theory, binomial coefficients
732noprovednoviewN/Acombinatorics
733noprovednoviewpossiblecombinatorics, geometry
734noopennoviewpossiblecombinatorics
735nosolvednoviewN/Ageometry
736nonot provablenoviewN/Agraph theory, chromatic number
737noprovednoviewN/Agraph theory, chromatic number
738noopennoviewN/Agraph theory, chromatic number
739nonot provablenoviewN/Agraph theory, chromatic number
740noopenyesviewN/Agraph theory, chromatic number
741nosolved (Lean)yesviewN/Aadditive combinatorics
742nodecidablenoviewN/Agraph theory
743nofalsifiablenoviewN/Agraph theorytree packing conjecture
744nodisprovednoviewpossiblegraph theory, chromatic number
745noprovednoviewN/Agraph theory
746noprovednoviewN/Agraph theory
747nosolvednoviewN/Acombinatorics, hypergraphs
748noprovednoviewA007865number theoryCameron-Erdős conjecture
749noopenyesviewN/Aadditive combinatorics
750noopenyesviewN/Agraph theory, chromatic number
751nodisproved (Lean)noviewN/Agraph theory, chromatic number
752noprovednoviewN/Agraph theory, cycles
753nodisproved (Lean)noviewN/Agraph theory, chromatic number
754noprovednoviewpossiblegeometry, distances
755noprovednoviewpossiblegeometry
756noproved (Lean)noviewpossiblegeometry, distances
757noopenyesviewpossiblegeometry, distances, sidon sets
758nosolvednoviewpossiblegraph theory, chromatic number
759nosolvednoviewpossiblegraph theory, chromatic number
760noproved (Lean)noviewN/Agraph theory, chromatic number
761noopennoviewN/Agraph theory, chromatic number
762nodisproved (Lean)noviewN/Agraph theory, chromatic number
763nodisprovednoviewN/Anumber theory, additive combinatorics
764nodisprovednoviewN/Anumber theory, additive combinatorics
765nosolved (Lean)noviewA006855graph theory, turan number
766noopennoviewpossiblegraph theory, turan number
767noprovednoviewpossiblegraph theory, turan number
768noopennoviewA001034, A352287number theory
769noopennoviewA014544, possiblenumber theory, geometry
770noopenyesviewA263647, possiblenumber theory
771noprovednoviewpossiblenumber theory
772noprovednoviewpossiblenumber theory, sidon sets, additive combinatorics
773noopennoviewA390813number theory, sidon sets, squares
774noopenyesviewN/Anumber theory
775nodisproved (Lean)noviewpossiblegraph theory, hypergraphs
776noopennoviewpossiblecombinatorics
777nosolvednoviewN/Agraph theory, combinatorics
778noopennoviewN/Agraph theory
779nofalsifiableyesviewA005235number theory, primes
780noprovednoviewN/Acombinatorics, hypergraphs, chromatic number
781nodisprovednoviewpossibleadditive combinatorics
782noopennoviewN/Anumber theory
783nosolvednoviewN/Anumber theory
784nosolvednoviewN/Anumber theory
785noproved (Lean)noviewN/Aadditive combinatoricsexact additive complements
786noopenyesviewA143301, possiblenumber theory
787noopennoviewpossibleadditive combinatorics
788noopennoviewpossibleadditive combinatorics
789noopenyesviewpossibleadditive combinatorics
790noopennoviewpossibleadditive combinatorics
791noopennoviewA066063additive combinatorics
792noopennoviewpossibleadditive combinatorics
793noopennoviewpossiblenumber theory
794nodisproved (Lean)noviewN/Agraph theory, hypergraphs, turan number
795noprovednoviewpossiblenumber theory
796noopennoviewpossiblenumber theory
797noprovednoviewpossiblegraph theory, chromatic number
798noproved (Lean)noviewA116446geometry
799noprovednoviewN/Agraph theory, chromatic number
800noprovednoviewN/Agraph theory, ramsey theory
801noprovednoviewN/Agraph theory, ramsey theory
802noopennoviewN/Agraph theory
803nodisprovednoviewN/Agraph theory
804nodisprovednoviewpossiblegraph theory
805noopennoviewpossiblegraph theory
806noprovednoviewpossibleadditive combinatorics
807nodisprovednoviewN/Agraph theory
808nodisprovednoviewN/Aadditive combinatorics, graph theory
809noopennoviewpossiblegraph theory, ramsey theory
810noopennoviewpossiblegraph theory, ramsey theory
811noopennoviewpossiblegraph theory, ramsey theory
812noopenyesviewA059442graph theory, ramsey theory
813noopennoviewpossiblegraph theory
814noprovednoviewpossiblegraph theory
815nodisprovednoviewN/Agraph theory
816noprovednoviewN/Agraph theory
817noopenyesviewpossibleadditive combinatorics
818noproved (Lean)noviewN/Aadditive combinatorics
819noopennoviewpossibleadditive combinatorics
820noopennoviewA263647number theory
821noopennoviewA014197number theory
822noprovedyesviewA121048, A155085number theory
823noprovednoviewN/Anumber theory
824noopennoviewpossiblenumber theory
825$25provedyesviewA006037, A330244number theory
826noopenyesviewN/Anumber theory
827noopennoviewpossiblegeometry
828noopenyesviewN/Anumber theory
829noopennoviewpossiblenumber theory
830noopenyesviewA259180number theory
831noopennoviewpossiblegeometry
832nodisprovednoviewpossiblegraph theory, hypergraphs, chromatic number
833noprovednoviewpossiblegraph theory, hypergraphs, chromatic number
834nosolvednoviewN/Agraph theory, hypergraphs
835noverifiableyesviewN/Agraph theory, hypergraphs
836noopennoviewN/Agraph theory, hypergraphs, chromatic number
837noopennoviewN/Agraph theory, hypergraphs
838noopennoviewpossiblegeometry, convex
839noopennoviewN/Anumber theory
840noopennoviewN/Aadditive combinatorics, sidon sets
841nosolvednoviewA092487number theory
842noprovednoviewN/Agraph theory, chromatic number
843noprovednoviewN/Anumber theory
844noproved (Lean)noviewN/Anumber theory, intersecting family
845nodisproved (Lean)yesviewN/Anumber theory
846nodisproved (Lean)yesviewN/Ageometry
847nodisprovedyesviewN/Aadditive combinatorics
848nodecidableyesviewN/Anumber theory
849noopenyesviewA003016, A003015, A059233, A098565, A090162, A180058, A182237number theory, binomial coefficientsSingmaster’s conjecture
850noopenyesviewA343101number theory, primesErdős-Woods conjecture
851noprovedyesviewN/Anumber theory
852noopennoviewA001223, A053597, A078515number theory, primes
853noopenyesviewA001223, A390769number theory, primes
854noopennoviewA389839, A048670number theory
855noopenyesviewA023193number theory, primessecond Hardy-Littlewood conjecture
856noopennoviewpossiblenumber theory
857noopenyesviewpossiblecombinatoricsweak sunflower problem
858nosolvednoviewN/Anumber theory, primitive sets
859noopenyesviewN/Anumber theory, divisors
860noopennoviewA048670, A058989number theory, primes
861nosolvednoviewA143824, A227590, A003022, A143823number theory, sidon sets
862nosolved (Lean)noviewA382395number theory, sidon sets
863noprovednoviewN/Anumber theory, sidon sets, additive combinatorics
864noopennoviewA389182number theory, sidon sets, additive combinatorics
865noopenyesviewpossiblenumber theory, additive combinatorics
866noopennoviewpossiblenumber theory, additive combinatorics
867nodisproved (Lean)noviewpossibleadditive combinatorics
868nosolvedyesviewN/Anumber theory, additive basis
869nodisprovednoviewN/Anumber theory, additive basis
870noopennoviewN/Anumber theory, additive basis
871nodisproved (Lean)noviewN/Anumber theory, additive basis
872noopennoviewpossiblenumber theory, primitive sets
873noopenyesviewN/Anumber theory
874noprovednoviewpossiblenumber theory, additive combinatorics
875noopennoviewN/Aadditive combinatorics
876noopennoviewN/Aadditive combinatorics
877noprovednoviewpossibleadditive combinatorics
878noopennoviewA339378, possiblenumber theory
879noopennoviewA186736number theory
880noprovednoviewN/Anumber theory, additive basis
881noopenyesviewN/Anumber theory, additive basis
882nosolvednoviewpossiblenumber theory, primitive sets
883noopennoviewN/Anumber theory, graph theory
884nodisprovedyesviewN/Anumber theory, divisors
885noopenyesviewN/Anumber theory, divisors
886noopenyesviewN/Anumber theory, divisors
887noopenyesviewN/Anumber theory, divisors
888noopenyesviewA387584number theory, squares
889noopenyesviewpossiblenumber theory
890noopenyesviewN/Anumber theory, primes
891noopenyesviewN/Anumber theory
892noopennoviewN/Anumber theory, primitive sets
893noopenyesviewA046801, possiblenumber theory, divisors
894noprovednoviewN/Anumber theory, ramsey theory
895noprovednoviewN/Aadditive combinatorics, graph theory
896nosolvednoviewpossiblenumber theory
897nodisproved (Lean)yesviewN/Anumber theory
898noproved (Lean)noviewN/AgeometryErdős-Mordell inequality
899noprovedyesviewN/Aadditive combinatorics
900noprovednoviewN/Agraph theory
901noopennoviewpossiblecombinatorics, hypergraphs
902noopennoviewA362137graph theory
903noprovednoviewN/Acombinatorics
904noproved (Lean)noviewN/Agraph theory
905noproved (Lean)noviewN/Agraph theory
906noopenyesviewN/Aanalysis, iterated functions
907noproved (Lean)noviewN/Aanalysis
908noprovednoviewN/Aanalysis
909noprovednoviewN/Aanalysis, topology
910nodisprovednoviewN/Atopology
911noopennoviewN/Agraph theory, ramsey theory
912noopenyesviewA071626number theory, factorials
913noopenyesviewA359747number theory
914noproved (Lean)noviewN/Agraph theory
915nosolvednoviewN/Agraph theory
916noprovednoviewN/Agraph theory, cycles
917noopennoviewN/Agraph theory, chromatic number
918noopenyesviewN/Agraph theory, chromatic number
919noopennoviewN/Agraph theory, chromatic number
920noopenyesviewpossiblegraph theory, chromatic number
921noprovednoviewpossiblegraph theory, chromatic number, cycles
922noprovednoviewN/Agraph theory, chromatic number
923noproved (Lean)noviewN/Agraph theory, chromatic number
924noprovednoviewN/Agraph theory, ramsey theory
925nodisprovednoviewpossiblegraph theory, ramsey theory
926noprovednoviewpossiblegraph theory
927nodisprovednoviewpossiblegraph theory
928noopennoviewA006530number theory
929noopennoviewpossiblenumber theory
930noopenyesviewN/Anumber theory
931noopenyesviewN/Anumber theory
932noopenyesviewA387864number theory
933noopennoviewpossiblenumber theory
934noopennoviewpossiblegraph theory
935noopennoviewA057521, A389244, possiblenumber theory
936noopenyesviewA146968, possiblenumber theory
937noprovednoviewpossiblenumber theory
938noopenyesviewA001694, possiblenumber theory
939noopenyesviewpossiblenumber theory
940noopenyesviewpossiblenumber theory
941noprovednoviewA056828number theory
942noopenyesviewpossiblenumber theory
943noopenyesviewpossiblenumber theory
944noopenyesviewN/Agraph theory, chromatic number
945noopenyesviewpossible, A048892number theory, divisors
946noprovedyesviewA005237, A284783number theory, divisors
947noproved (Lean)noviewN/Anumber theory, covering systems
948noopennoviewN/Anumber theory, ramsey theory
949noopenyesviewN/Aramsey theory
950noopennoviewN/Anumber theory, primes
951noopenyesviewN/Anumber theory
952noopenyesviewN/Anumber theoryGaussian moat problem
953noopennoviewN/Ageometry, distances
954noopennoviewA390642number theory
955noopennoviewpossiblenumber theory
956noopennoviewpossiblegeometry, distances, convex
957noprovednoviewN/Ageometry, distances
958nodisproved (Lean)noviewN/Adistances, geometry
959noopennoviewN/Ageometry, distances
960nodisprovednoviewpossiblegeometry
961noopenyesviewA213253number theory
962noopenyesviewA327909number theory
963noopennoviewpossiblenumber theory
964noproved (Lean)noviewN/Anumber theory, divisors
965nodisprovedyesviewN/Aramsey theory
966noproved (Lean)noviewN/Anumber theory, additive combinatorics, ramsey theory
967nodisproved (Lean)noviewN/Anumber theory, analysis
968noopenyesviewA387591number theory
969noopennoviewA013928number theory
970noopennoviewA048669number theoryJacobsthal’s function
971noopenyesviewA226521number theory
972noopenyesviewN/Anumber theory
973noopennoviewN/Aanalysis
974noproved (Lean)noviewN/Aanalysis
975noopenyesviewA147807, possiblenumber theory, divisors
976noopennoviewN/Anumber theory
977noprovednoviewA005420, A002583number theory
978noopenyesviewpossiblenumber theory
979noopenyesviewA385316, possiblenumber theory
980noprovednoviewA053760, A098990, possiblenumber theory
981noprovednoviewN/Anumber theory
982nofalsifiableyesviewA004526geometry, convex, distances
983noopennoviewpossiblenumber theory
984noprovednoviewN/Aarithmetic progressions, additive combinatorics
985noopenyesviewA002233, A219429, A103309, possiblenumber theory
986noopennoviewA000791, A059442graph theory, ramsey theory
987noprovednoviewN/Aanalysis, discrepancy
988nosolvednoviewpossiblediscrepancy
989nosolvednoviewpossiblediscrepancy
990nodisproved (Lean)noviewN/Aanalysis
991noprovednoviewN/Adiscrepancy
992nodisprovednoviewN/Adiscrepancy
993nofalsifiablenoviewpossiblegraph theory
994nodisprovednoviewN/Aanalysis, discrepancy
995noopennoviewN/Aanalysis, discrepancy
996noopenyesviewN/Aanalysis
997noproved (Lean)yesviewN/Aanalysis, discrepancy, primes
998noprovednoviewN/Aanalysis, diophantine approximation
999noprovednoviewN/Anumber theory, diophantine approximationDuffin-Schaeffer conjecture
1000noproved (Lean)noviewN/Anumber theory, diophantine approximation
1001nosolvednoviewN/Anumber theory, diophantine approximation
1002noopenyesviewN/Aanalysis, diophantine approximation
1003noopenyesviewA001274number theory
1004noopenyesviewpossiblenumber theory
1005noopennoviewA386893number theory
1006nodisprovednoviewN/Agraph theory, cycles
1007nosolved (Lean)noviewN/Agraph theory
1008noproved (Lean)noviewN/Agraph theory
1009noprovednoviewN/Agraph theory
1010noprovednoviewN/Agraph theory
1011noopennoviewpossiblegraph theory
1012nosolvednoview?graph theory
1013noopennoviewA292528graph theory
1014noproved (Lean)noviewpossiblegraph theory
1015nosolvednoviewpossiblegraph theory, ramsey theory
1016noopennoviewA105206graph theory, cyclespancyclic graphs
1017noopennoviewpossiblegraph theory
1018nosolvednoviewN/Agraph theory, planar graphs
1019noprovednoviewN/Agraph theory, planar graphs
1020nofalsifiablenoviewN/Agraph theory, hypergraphsErdős matching conjecture
1021noprovednoviewN/Agraph theory
1022noproved (Lean)noviewpossiblecombinatorics, hypergraphs
1023nosolved (Lean)noviewpossiblecombinatorics
1024nosolvednoviewpossiblegraph theory, hypergraphs
1025nosolvednoviewpossiblecombinatorics
1026nosolved (Lean)noviewA391431, A391490combinatorics
1027noprovednoviewN/Acombinatorics
1028nosolved (Lean)noviewpossiblegraph theory, discrepancy
1029$100opennoviewA059442graph theory, ramsey theory
1030noopennoviewA000791, A059442graph theory, ramsey theory
1031noprovednoviewpossiblegraph theory
1032noopennoviewpossiblegraph theory, chromatic number
1033noopennoviewpossiblegraph theory
1034nodisproved (Lean)noviewpossiblegraph theory
1035noopennoviewpossiblegraph theory
1036noproved (Lean)noviewpossiblegraph theory
1037nodisproved (Lean)noviewN/Agraph theory
1038noopenyesviewN/Aanalysis
1039noopennoviewN/Aanalysis
1040noopennoviewN/Aanalysis
1041nofalsifiableyesviewN/Aanalysis
1042noprovednoviewN/Aanalysis
1043nodisproved (Lean)yesviewN/Aanalysis
1044nosolved (Lean)noviewN/Aanalysis
1045noopennoviewN/Aanalysis
1046nodisprovednoviewN/Aanalysis
1047nodisproved (Lean)noviewN/Aanalysis
1048nodisproved (Lean)noviewN/Aanalysis
1049noopenyesviewN/Airrationality
1050noprovednoviewA331372irrationality
1051noproved (Lean)yesviewN/Airrationality
1052$10openyesviewA002827number theoryunitary perfect numbers
1053noopennoviewA007539number theorymultiply perfect numbers
1054noopenyesviewA167485number theory, divisors
1055noopenyesviewA005113number theory, primes
1056noopenyesviewA060427number theory
1057noopennoviewA006931number theoryCarmichael numbers
1058noprovednoviewN/Anumber theory
1059noopenyesviewA064152number theory, primes
1060noopenyesviewA327153number theory
1061noopenyesviewA110177, possiblenumber theory
1062noopenyesviewA038372number theory
1063noopenyesviewA389360number theory
1064noprovedyesviewA051488, A051487number theory
1065noopenyesviewA074781, A339465number theory
1066noopennoviewpossiblegraph theory, planar graphs
1067nodisproved (Lean)yesviewN/Agraph theory, set theory
1068noopenyesviewN/Agraph theory, set theory, chromatic number
1069nosolvednoviewpossiblegeometry
1070noopennoviewpossiblegeometry
1071noproved (Lean)yesviewN/Ageometry
1072noopenyesviewA073944, A072937, A154554number theory
1073noopenyesviewA256519number theory
1074noopenyesviewA063980, A064164number theory
1075noopennoviewN/Ahypergraphs
1076noprovednoviewpossiblehypergraphs
1077nodisprovedyesviewN/Agraph theory
1078noprovednoviewN/Agraph theory
1079nosolvednoviewN/Agraph theory, turan number
1080nodisproved (Lean)yesviewpossiblegraph theory
1081nodisprovednoviewA076871, A076872, possiblenumber theory, powerful
1082nofalsifiableyesviewpossiblegeometry, distances
1083noopennoviewA186704, possiblegeometry, distances
1084noopenyesviewA045945, possiblegeometry, distancescontact number problem
1085noopenyesviewA186705, possiblegeometry, distances
1086noopennoviewpossiblegeometry, distances
1087noopennoviewpossiblegeometry, distances
1088noopennoviewpossiblegeometry
1089nosolvednoviewpossiblegeometry, distances
1090noproved (Lean)noviewN/Ageometry, ramsey theory
1091nosolvednoviewN/Ageometry, chromatic number
1092nodisprovedyesviewN/Ageometry, chromatic number
1093noopenyesviewN/Anumber theory, binomial coefficients
1094noopenyesviewN/Anumber theory, binomial coefficients
1095noopenyesviewA003458number theory, binomial coefficients
1096noprovedyesviewN/Anumber theory
1097noopenyesviewN/Anumber theory, additive combinatorics
1098noproved (Lean)noviewN/Agroup theory
1099noprovednoviewN/Anumber theory, divisors
1100noopennoviewA325864, possiblenumber theory, divisors
1101noopenyesviewN/Anumber theory
1102nosolved (Lean)yesviewN/Anumber theory
1103noopennoviewA392164number theory
1104noopenyesviewA292528graph theory, chromatic number
1105noprovedyesviewpossiblegraph theory, ramsey theory
1106noopenyesviewA194259, A194260number theory
1107noopenyesviewA056828, A392342, A392343, possiblenumber theory, powerful
1108noopenyesviewA051761, A115645, A025494number theory, factorials
1109noopennoviewA392164, A392165number theory
1110noopennoviewpossiblenumber theory
1111noopennoviewpossiblegraph theory
1112noopennoviewN/Aadditive combinatorics
1113noopenyesviewA076336number theory, covering systemsSierpinski numbers
1114noprovednoviewN/Aanalysis, polynomials
1115nosolvednoviewN/Aanalysis
1116nosolvednoviewN/Aanalysis
1117noopennoviewN/Aanalysis
1118nosolvednoviewN/Aanalysis
1119noindependentnoviewN/Aanalysis, set theory
1120noopennoviewN/Aanalysis
1121noproved (Lean)noviewN/Ageometry
1122noopennoviewN/Anumber theory
1123$100independentnoviewN/Aalgebra
1124noprovednoviewN/Ageometry
1125noproved (Lean)noviewN/Aanalysis
1126noproved (Lean)noviewN/Aanalysis
1127noindependentnoviewN/Ageometry, distances, set theory
1128$50disprovednoviewN/Aset theory, ramsey theory, hypergraphs
1129noprovednoviewN/Aanalysis, polynomials
1130noprovednoviewN/Aanalysis, polynomials
1131noopennoviewN/Aanalysis, polynomials
1132noopennoviewN/Aanalysis, polynomials
1133noopennoviewN/Aanalysis, polynomials
1134£10disprovednoviewA185661number theory
1135$500openyesviewA006370, A008908number theoryCollatz conjecture
1136noproved (Lean)noviewN/Anumber theory
1137noopenyesviewA083550, A005250number theory, primes
1138nodisproved (Lean)noviewpossiblenumber theory, primes
1139noopenyesviewpossiblenumber theory, primes
1140nodisprovednoviewpossiblenumber theory
1141nodisproved (Lean)yesviewA214583number theory, primes
1142noopenyesviewA039669number theory, primes
1143noopennoviewN/Anumber theory, primes
1144noopennoviewN/Anumber theory, probability
1145noopenyesviewN/Aadditive combinatorics, additive basis
1146noopennoviewpossiblenumber theory
1147nodisprovednoviewN/Airrational, additive basis
1148noproved (Lean)yesviewA390380, A393168number theory
1149noprovednoviewN/Anumber theory
1150noopenyesviewN/Aanalysis, polynomials
1151noopennoviewN/Aanalysis, polynomials
1152noopennoviewN/Aanalysis, polynomials
1153noprovednoviewN/Aanalysis, polynomials
1154nonot disprovablenoviewN/Aanalysis
1155noopennoviewN/Agraph theory
1156noopennoviewN/Agraph theory, chromatic number
1157noopennoviewpossiblehypergraphs, turan number
1158noopennoviewpossiblehypergraphs, turan number
1159noopennoviewN/Acombinatorics
1160noopennoviewA000001group theory
1161nosolvednoviewpossiblegroup theory
1162noopennoviewpossiblegroup theory
1163noopennoviewN/Agroup theoryambiguous statement
1164noprovednoviewN/Aprobability
1165nosolvednoviewN/Aprobability
1166noprovednoviewpossibleprobability
1167noopennoviewN/Aset theory, probability
1168noopennoviewN/Aset theory, ramsey theory
1169nonot disprovablenoviewN/Aset theory, ramsey theory
1170noopennoviewN/Aset theory, ramsey theory
1171noopennoviewN/Aset theory, ramsey theory
1172noopennoviewN/Aset theory, ramsey theory
1173noopennoviewN/Aset theory, combinatorics
1174nonot disprovablenoviewN/Aset theory, ramsey theory
1175noopennoviewN/Aset theory, chromatic number
1176nonot disprovableyesviewN/Aset theory, chromatic number
1177noopennoviewN/Aset theory, chromatic number, hypergraphs
1178noopennoviewN/Agraph theory, hypergraphs
1179noprovednoviewN/Aadditive combinatorics, probability
1180noprovednoviewN/Anumber theory
1181noopennoviewpossiblenumber theory
1182noopennoviewpossiblegraph theory, ramsey theory
1183noopennoviewpossiblecombinatorics, ramsey theory
1184noopennoviewpossiblenumber theory, primes
1185nosolvednoviewN/Aadditive combinatorics, arithmetic progressions
1186noopennoviewpossibleadditive combinatorics, arithmetic progressions
1187nosolvednoviewN/Anumber theory, primes, additive combinatorics, arithmetic progressions
1188noopennoviewpossiblenumber theory, covering systems
1189noopennoviewpossiblenumber theory, covering systems
1190noopennoviewpossiblenumber theory, covering systems
1191$1000opennoviewpossibleadditive combinatorics, sidon sets
1192noopennoviewpossibleadditive combinatorics, additive basis
1193nosolved (Lean)noviewN/Aadditive combinatorics
1194noopennoviewpossibleadditive combinatorics, additive basis, sidon sets
1195nosolvednoviewpossiblenumber theory
1196noproved (Lean)yesviewpossiblenumber theory, primitive sets
1197nodisproved (Lean)noviewN/Aanalysis
1198nodisprovednoviewN/Aadditive combinatorics, ramsey theory
1199noopenyesviewpossibleadditive combinatorics, ramsey theory
1200noopennoviewpossiblenumber theory, primes
1201noopennoviewpossiblenumber theory, primes
1202nosolvednoviewpossiblenumber theory, primes
1203noopenyesviewpossiblenumber theory
1204noopennoviewA008407, A023193, A135311, possiblenumber theory
1205nosolvednoviewpossiblenumber theory
1206noopennoviewpossiblenumber theory, sidon sets
1207noopennoviewpossiblegeometry, distances
1208noopennoviewpossiblegeometry, distances
1209noopennoviewpossiblenumber theory
1210noopenyesviewpossiblenumber theory
1211nosolvednoviewpossiblenumber theory, ramsey theory
1212noopennoviewpossiblenumber theory, primes
1213noprovednoviewpossibleadditive combinatorics
1214noprovednoviewN/Anumber theory
1215nodisprovednoviewN/Aanalysis
1216nodisprovednoviewpossiblegraph theory, ramsey theory
1217noprovednoviewN/Anumber theory, divisors, primitive sets

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