OpenAI released hundreds of results on open problems in math and theoretical computer science, many already verified in the Lean programming language. Those are all but certain to be correct, so the months of reading ahead are about whether they hold new ideas.
Perspective Coverage
5 publishers
- Builder
- Builder 33%
- Operator
- Operator 55%
- Investor
- Investor 12%
Reality
- Evidence62
- Adoption
- Not scored
- Hype gap+35
- Incentives70
- Confidence60
buildConfirmed6 publishers OpenAI posted 372 results from an internal model to GitHub, at about three hours of ChatGPT Pro compute each on average. Finding proofs is now cheap enough that the slow step is mathematicians checking and judging them.
Perspective Coverage
6 publishers
- Builder
- Builder 44%
- Operator
- Operator 31%
- Investor
- Investor 25%
Reality
- Evidence58
- Adoption10
- Hype gap+35
- Incentives72
- Confidence60
buildOne report1 publisher Claude agents' 13-million-line Fermat proof shrinks human review to one statement and three axioms
Anthropic published a 13-million-line Lean 4 proof of Fermat's Last Theorem that dozens of Claude agents wrote in 11 days. For teams weighing agents on correctness-critical code, the kernel checks every step, so what humans still review is the statement being proved.
Reality
- Evidence62
- Adoption
- Not scored
- Hype gap+20
- Incentives55
- Confidence60
buildOne report1 publisher A week to prove zlib: verification starts looking like a line item, not a luxury
An interview with Lean's founder says an AI translated C zlib into Lean and proved compress-then-decompress round-trips in about a week. The remaining work is optimization without breaking the proof.
Reality
- Evidence25
- Adoption35
- Hype gap+40
- Incentives65
- Confidence30
Anthropic's own account has dozens of agents writing 13 million machine-checked lines in 11 days, about 7% of them dead ends, and only after a Columbia team built the shared to-do list that stopped them duplicating work.
Reality
- Evidence60
- Adoption
- Not scored
- Hype gap+30
- Incentives70
- Confidence58
Kevin Buzzard holds a five-year grant to do the same job by hand. He compiled Anthropic's 13 million lines himself and says the result teaches mathematicians nothing and anyone running agent fleets quite a lot.
Reality
- Evidence75
- Adoption10
- Hype gap+20
- Incentives60
- Confidence70
Anthropic says its Claude agents ran autonomously for 11 days to formalise Fermat's Last Theorem in 13 million lines of Lean, a result that rests on a finished human proof and 2 million lines of prior formalisation.
Reality
- Evidence58
- Adoption32
- Hype gap+18
- Incentives70
- Confidence64
The build fails unless the theorem rests on exactly Lean's three standard axioms, and an independent kernel written in Rust re-checked more than a million declarations. The eleven-day timeline rests on Anthropic's own account.
Perspective Coverage
3 publishers
- Builder
- Builder 47%
- Operator
- Operator 17%
- Investor
- Investor 36%
Reality
- Evidence76
- Adoption22
- Hype gap+14
- Incentives72
- Confidence70
buildOne report1 publisher MathCode's bet is that proofs should accumulate, not evaporate
The Math-AI project turns plain-language mathematics into Lean 4 theorems, then files whatever compiles into a reusable library. The architecture is the claim, not the benchmark.
Reality
- Evidence40
- Adoption
- Not scored
- Hype gap+14
- Incentives36
- Confidence44