Alpöge and Howell, using an internal Claude variant, discover elliptic curves of rank 30 and 31; results reported by Scientific American and Superpower Daily
Following·Day 3·first covered 16 Sep 2026·3 sources
Claude Helps Set Elliptic Curve Rank Records of 30 and 31
The gist
The speed of the result stands in contrast to the historically slow pace of progress in elliptic curve rank records. Higher-rank elliptic curves are more mathematically complex, determining how certain points are distributed along the curve.
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 the previous record of rank 29. The new results emerged within days from a relatively simple prompt. The previous incremental step in this domain, from rank 28 to rank 29, had taken more than 18 years, according to Scientific American.
How it developed
Sources
scientificamerican.com
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