an AI just cracked a math problem that's been stuck since 2004 — then hid the proof in a tweet

Anthropic's Levent Alpöge and Claude closed the smallest open case in a 133-year-old math conjecture, then announced it as 23,828 plus and minus… Aliteq Lena Fischer · AI & Local Compute Editor

Anthropic's Levent Alpöge, working with Claude, produced Hadamard matrices for all 12 remaining unsolved orders under 2000, including order 668 — open since 2004.

The Hadamard conjecture itself, proposed in 1893, is still unproven; this closes specific cases, not the general claim.

Alpöge announced it on X as a string of 23,828 plus and minus characters with a hidden shell-script decoder, not a paper.

Epoch AI, which runs the FrontierMath benchmark, provisionally credited the result to 'a team of three humans and Claude.'

It's the second historic math result tied to Alpöge in three weeks — on July 21 he used an AI model to disprove the 87-year-old Jacobian conjecture.

The interesting number here isn't 668, it's 'provisional.' Nobody outside that three-person team knows how much of the actual mathematical insight came from Claude versus three very good…

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