Levent Alpöge may have just dropped a solution to the smallest open Hadamard case (668) as an obfuscated shell script

Original tweet He did it with Claude again. https://x.com/__alpoge__/status/2087504790435840207 This looks much more significant than the image initially suggests. The tweet contains an obfuscated shell script + a huge +/- payload. Decoding it produces a 668×668 matrix with entries ±1. 668 is important because it is the smallest order for which no Hadamard matrix is currently known. Finding one means finding H such that: HHᵀ = 668I I decoded the payload and checked the resulting 668×668 matrix computationally. It satisfies the condition exactly, every pair of distinct rows is orthogonal, with zero errors. But it gets weirder. The script appears to contain constructions for: 668, 716, 892, 1132, 1244, 1388, 1436, 1676, 1772, 1916, 1948, 1964 Those are exactly the 12 previously unresolved Hadamard orders below 2000. This does NOT prove the full Hadamard conjecture, and obviously this needs proper independent verification / mathematical explanation. But if the constructions all check out, someone may have just wiped out every remaining unknown Hadamard order below 2000 in a fucking cursed sed script.