Community AI Auto-Research Boosts Integer Multiplication Bound by 69% in 24 Hours

An open-source research project on exponent bounds for integer multiplication (integer-mult-bounds), initiated by Rohan Arun, put out a public call for "crazy new designs." Through collaboration between community members and AI agents, the optimal κ was pushed from 2⁻¹⁸² to 0.001289283116 within 24 hours, a 69.13% improvement. The experiment demonstrated that crowdsourcing plus AI-driven auto-research can achieve day-scale progress on pure mathematics problems, and it spread rapidly through math and algorithms circles.

Confirmed

• The project was initiated by Rohan Arun, organized via the open-source repository integer-mult-bounds, combining LLMs with formal verification in Lean (as relayed by @RexDouglass).
• After the public call for new designs, multiple experts submitted proposals; @mrowdays contributed most of the key designs (consistently relayed across multiple reposts).
• The key metric improved from κ=2⁻¹⁸² to 0.001289283116 within 24 hours, a gain of +69.13%.
• The discussion also touched on the connection between the bit-complexity side and the complex-number side (as relayed by @danielrock).

Why it matters

• This is a landmark case of the "community auto-research" model: crowdsourced expert designs combined with AI agents and formal verification tools can significantly advance a long-standing open mathematical complexity metric in a single day.
• The event sparked widespread reposts and discussion in X/Twitter's math and algorithms communities, and is seen as concrete evidence of the potential of LLM-assisted research.

2026-10-12 ~ 2026-10-12 · 5 related posts

• Community + AI agents push integer multiplication κ bound up 69% in a day via E8 geometry — CatAstro_Piyush · 2026-10-12
• Community AI auto-research jumps 69% in a day, pushing integer multiplication toward 0.001 — basedjensen · 2026-10-12
• Community LLM auto-research boosts integer multiplication result 69% in 24 hours — RexDouglass · 2026-10-12
• Community auto-research pushes integer multiplication bound up 69% in 24 hours — danielrock · 2026-10-12
• Decentralized auto-research hits E8 geometry, boosts integer multiplication 69% in a day — iskander · 2026-10-12