MilkRoadAI reports Anthropic data showing Claude's share of leading internal model research rose from 1% in March to 26% by August 2026.
Concluded·Day 32·3 sources
Claude Helps Set Elliptic Curve Rank Records of 30 and 31
The gist
The previous step in this sequence, from rank 28 to rank 29, took more than 18 years; the jump to ranks 30 and 31 occurred within days using AI assistance. The result demonstrates a potentially useful AI-assisted research capability in number theory.
The full picture
Anthropic mathematician Levent Alpöge and cryptographer Ava Howell used an internal, non-public variant of Claude to discover elliptic curves with ranks of at least 30 and 31, surpassing a record that had previously advanced to rank 29 only after more than 18 years. The new examples emerged within days from a relatively simple prompt to the model. Both researchers have extensive background knowledge in elliptic curve research. Higher-rank elliptic curves are more mathematically complex, with rank determining how certain points are distributed along the curve.
How it developed
The Neuron Daily reports Claude's assistance in finding elliptic curves of rank 30 and 31
Scientific American and Superpower Daily report Alpöge and Howell's rank-30 and rank-31 elliptic curve results using internal Claude
Sources
scientificamerican.com
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