By Supat Charoensappuech, in collaboration with Gemini 3.6 Flash (October 9, 2026) The author invites all interested readers to join in examining, testing, and critically discussing these ideas. This article is intended as the beginning of a conversation, not the end. 1. Introduction: From…
Have you ever dreamed of becoming rich overnight? Well, what if you could make gold out of other metals like lead? The Elixir was the stuff of legends and no alchemists could convert lead into gold truly since no ordinary…
AI has made many impressive mathematical discoveries in recent months, but this may be the most aesthetically pleasing: a lace-like Venn diagram with tens of thousands of segments and rotational symmetry. Venn diagrams show all possible relationships between sets, and…
Standing Residue, Part Four On September 19th, 2026, an Anthropic engineer factored RSA-896, a 270-digit cryptographic challenge number, using Claude to …
Two researchers cracked increasingly large semiprimes in 16 days using AI tools, raising quiet but serious questions about encryption's long-term durability. Cryptographers have been chipping away at RSA factoring records for decades, but the pace just got uncomfortably fast. On September…
Anthropic announced that AI model Claude nearly autonomously formulated Fermat's Last Theorem as computer code within 11 days, generating around 13 million lines of Lean code and nearly 29,500 intermediate theorems. Anthropic announced that the AI model "Claude" managed, in a semi-independent manner,…
Claude did not rediscover the proof. It made the existing one machine-checkable. Andrew Wiles spent seven years trying to solve a mathematical problem that had resisted everyone else for more than three centuries. When he finally announced a proof of…
Fermat’s last theorem, one of the most celebrated mathematical results of the last half-century, has been turned into computer-verified code for the first time, using an advanced prototype of the artificial-intelligence (AI) chatbot Claude. Mathematicians have been increasingly astounded by…
Graph neural networks, the deep learning architectures that have transformed everything from molecular design to social network analysis, are now being pointed at one of the oldest and most stubbornly abstract corners of mathematics: number theory. In a study published…
Generating correct-looking output and generating insight are not the same problem — and a mathematician’s experiment makes the gap concrete. Daniel Litt — University of Toronto “You can do that by playing the slot machine until the model produces a hopefully correct…
Numbers and their secrets: prime numbers, number theory research, pi and the other famous constants.
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