Swapnil Jain: OpenAI problem #109 past 2^-14 (κ ≈ 6.397×10^-5)
Swapnil Jain @SJ_Swapnil_JainX
Why it matters
Seventh update: the highest claimed κ on 8 Oct, a 2^168-fold larger exponent saving than OpenAI’s original, self-published and unreviewed.
Summary
Posted 20:56 UTC on 8 Oct, after the 20:37 UTC round-seven commit (κ = 1599247689723/(2.5×10^16)). Views were still low when archived, about an hour after posting.
Archived text
Seventh update to OpenAI problem #109 (integer multiplication): we are now past 2^-14.
κ > 2⁻¹⁴ (tightened from κ = 2⁻¹⁸²)
The exact witness is 6.397 × 10⁻⁵, about 1.74 fold over our previous 3.667 × 10⁻⁵, 4.1 fold over round five and 8500 fold over our first witness, and a 2¹⁶⁸ fold improvement over the original OAI result.
Quoting @SJ_Swapnil_Jain: Sixth update to OpenAI problem #109 (integer multiplication): we are now past 2^-15.