---
format: "aidr-story-markdown/v1"
id: "b5a1c20be8e72fb324d24bf6ad326747e24a04a4e6c9046e2bcff8eed03cb88d"
canonical_url: "https://aidr.today/b5a1c20b?lang=en"
title: "Ryan Shea Raises OpenAI Problem 111 Bound Above 2⁻³¹"
lang: "en"
requested_lang: "en"
available_langs: ["en","vi"]
translation_fallback: null
fallback_fields: []
published_at: "2026-10-11T15:39:32.000Z"
category: "Research"
topics: ["openai","reasoning"]
source_urls: ["https://marketbrief.now/ai/ryan-shea-raises-openai-problem-111-bound-above-2-65dd6fd5","https://x.com/ryaneshea/status/2109297638843818048","https://x.com/ryaneshea/status/2108797063957782925","https://x.com/ryaneshea/status/2108940156229357739","https://x.com/Guimarin/status/2108888186994962610","https://x.com/ryaneshea/status/2109302365744460233","https://huggingnews.com/ai/ryan-shea-raises-openai-problem-111-bound-above-2-65dd6fd5"]
summary: "Ryan Shea's latest derivation for OpenAI Problem #111 establishes a lower bound above 2⁻³¹, a 15% increase over his previous 2⁻³² figure and a 31.45-fold improvement over his original proof. The result holds even when the algorithm faces an adversary with full access to all samples, all values, and the entire random seed. Shea has released reproducible checks for the 2⁻³¹ calculation and called for independent review of the findings."
---

# Ryan Shea Raises OpenAI Problem 111 Bound Above 2⁻³¹

> [Open the canonical story](<https://aidr.today/b5a1c20b?lang=en>)

**Published:** 2026-10-11T15:39:32.000Z
**Category:** Research
**Topics:** openai, reasoning

## Summary

Ryan Shea's latest derivation for OpenAI Problem \#111 establishes a lower bound above 2⁻³¹, a 15% increase over his previous 2⁻³² figure and a 31\.45\-fold improvement over his original proof\. The result holds even when the algorithm faces an adversary with full access to all samples, all values, and the entire random seed\. Shea has released reproducible checks for the 2⁻³¹ calculation and called for independent review of the findings\.

## Sources

- [Story source](<https://marketbrief.now/ai/ryan-shea-raises-openai-problem-111-bound-above-2-65dd6fd5>)
- [Story source](<https://x.com/ryaneshea/status/2109297638843818048>)
- [Story source](<https://x.com/ryaneshea/status/2108797063957782925>)
- [Supporting source](<https://x.com/ryaneshea/status/2108940156229357739>)
- [Supporting source](<https://x.com/Guimarin/status/2108888186994962610>)
- [Supporting source](<https://x.com/ryaneshea/status/2109302365744460233>)
- [Story source](<https://huggingnews.com/ai/ryan-shea-raises-openai-problem-111-bound-above-2-65dd6fd5>)