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Claude just did something no human mathematician managed alone: formalize a complete, computer-verified proof of Fermat's Last Theorem, one of math's most famous problems, in just 11 days. A model built for coding and writing spent that time translating decades of number theory into a language a machine can check line by line. |
If an AI can autoformalize a proof this dense without a human doing the heavy lifting, what happens to the backlog of unverified mathematics still sitting in journals? That question just got a lot less hypothetical. |
Today in AI: |
Claude formalizes a complete Fermat's Last Theorem proof Nvidia's Nemotron beats the top human coder Suno caps downloads, signs licensing deal with BMG |
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Claude Delivers the First Fully Verified Proof of Fermat's Last Theorem |
What's new? Anthropic announced that Claude worked largely autonomously over 11 days to produce the first complete, computer-checked proof of Fermat's Last Theorem in the Lean programming language, using an open collaborative formalization platform called Prove2Me. |
What matters? |
The run generated 13 million lines of Lean code and proved 30,300 individual theorems, 29,500 of which were used in the final proof, while consuming roughly 6 billion output tokens. Prove2Me was built by Anthropic researcher Tianyi Peng and collaborators at Columbia University specifically to let AI models formalize mathematics that a computer can verify step by step. Imperial College London mathematician Kevin Buzzard, who reviewed the output, confirmed the proof holds with no assumptions beyond the basic axioms of mathematics. |
Why it matters? |
Formalized proofs remove the years of human peer review normally needed to trust a landmark result, since a computer can check every step instantly. An AI that can autoformalize a proof this complex in 11 days points toward clearing the huge backlog of unverified mathematics, freeing mathematicians to spend more time on new discovery instead of verification. |
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Nvidia's Nemotron Outscores Every Human Coder at IOI 2026 |
Nvidia's Nemotron-3-Ultra-CC outscored the highest-ranked human contestant at the International Olympiad in Informatics 2026, posting 535.4 out of 600 points under the same contest rules, time limits, and no-internet conditions as the human competitors in Tashkent, Uzbekistan. |
What matters? |
The winning score beat the top human's 498.27 points by more than 37 points, clearing the gold-medal threshold of 361.12 by a wide margin. Nvidia's researchers used a technique called GenCorrect, a generate-evaluate-refine loop that repeatedly tests and revises candidate solutions against the actual test cases before submitting a final answer. The smaller Nemotron-3-Nano-CC model jumped from 130 points with no training to 468 points once GenCorrect was applied, with most of the gain coming from the correction loop rather than the base model itself. |
Why it matters? |
Beating the best human at a competition designed to find the world's most talented young programmers is a concrete, independently judged benchmark rather than a lab-only score. It's a strong signal that AI-assisted coding is approaching a point where writing and debugging complex algorithms end-to-end no longer needs a human in the loop. |
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Suno Caps Free Downloads as It Signs a Licensed Deal With BMG |
Suno confirmed that download limits take effect on every plan starting September 3, alongside updated Terms of Service tied to a new licensing partnership with music publisher BMG and a coming generation of models built with the music industry rather than around lawsuits from it. |
What matters? |
Free accounts get 7 lifetime downloads, Pro subscribers get 20 per month, and Premier subscribers get 60 per month - unlimited only for Premier users on Suno Studio. The caps apply retroactively to songs already in your library, so exporting everything you've made so far before the cutoff is the only way to guarantee you keep local copies. Paid subscribers keep full commercial rights to anything they download, while free-tier trial downloads are restricted to personal, non-commercial use only. |
Why it matters? |
A licensing deal with a major publisher instead of another lawsuit suggests Suno is trying to become a legitimate, revenue-sharing part of the music industry rather than an adversary to it. For readers already building with AI music, the immediate task is practical: back up your library now, before the new limits lock in. |
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Everything else in AI |
Sony Music Publishing sued Anthropic alongside Warner Chappell for up to $150,000 per song, alleging Claude was trained on tens of thousands of copyrighted tracks without a license. |
Meta launched Muse Voice Transcribe, a real-time speech-to-text model that identifies more than 20 speakers across 70+ languages with a class-leading 3.1% word error rate. |
Recraft shows how to design a print-ready poster with AI, covering brief-writing, model selection, in-studio editing, and exporting files at 300 dpi. |
Complete AI Bundle bundles prompt libraries, courses, and templates into one download for readers who want to turn everyday AI use into paid skills. |
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