Swapnil(@SJ_Swapnil_Jain):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.

Swapnil

@SJ_Swapnil_Jain

Backend & AI Engineer ⚙️ Enterprise HIPAA/SOC2 compliance for startups 🧠 AWS, RAG, MCP, LangChain 📌 founder @firstimpresslab 🎓 MS @GeorgiaTech Open for hire

가입 March 2013

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Swapnil@SJ_Swapnil_Jain

2026.10.08 10:05

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.

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