Swapnil Jain: OpenAI problem #109 past 2^-18 (‘2^-1x territory’)
Swapnil Jain @SJ_Swapnil_JainX
Why it matters
Highest-reach post (~135k views) of Swapnil Jain’s series; at the time it claimed about 2.2 times the strongest open result.
Summary
Posted 10:05 UTC on 8 Oct, matching the round-three commit at 10:03 UTC in github.com/Swapnil-jain/integer-mult-kappa. Conditional on OpenAI’s unverified manuscript; the repository says the work was done with assistance from Claude (Anthropic).
Archived text
We are publishing a third update to OpenAI problem #109 (integer multiplication), and we have now entered 2^-1x territory.
κ > 2⁻¹⁸ (tightened from κ = 2⁻¹⁸²)
The exact witness is 4.19 × 10⁻⁶, roughly 558 fold over our previous 7.5 × 10⁻⁹, about 2.2 fold over the strongest open result, and a 2¹⁶⁴ fold improvement over the original OAI result.
Quoting @SJ_Swapnil_Jain: We are publishing a second update to OpenAI problem #109 (integer multiplication), building on Doug Colkitt’s results, with further tightening.