Development

A graduate solves six open Erdős problems at a 46% hit rate

development2026-07-24

Claim

A PhD graduate solved six open Erdős problems with GPT-5.6 Sol out of thirteen attempted, a 46% hit rate, while another researcher toppled a 22-year-old conjecture by asking a model to counterexample any problem it liked and then napping, with a tracker of sixteen AI solutions finding problems open an average of 47 years now falling.

Reported metric: 6 of 13 / 47-year average

Reporting date: 2026-07-24 (not necessarily the event date)

Sources

Attribution and reporting linked by this record; links do not imply independent verification.

Welcome to July 24, 2026 (theinnermostloop.substack.com)

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Reported in

Welcome to July 24, 2026

Actor

OpenAI

Evidence for

Supersedes

Decades-old conjectures fall in a day and become a national line item

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Citation formatCitation text

A graduate solves six open Erdős problems at a 46% hit rate
Innermost Loop KB — secondary record
Reporting date: 2026-07-24
KB permalink: https://nicholsn.github.io/innermost-loop-kb/developments/2026-07-24-six-erdos-problems-in-one-sitting
Claim: A PhD graduate solved six open Erdős problems with GPT-5.6 Sol out of thirteen attempted, a 46% hit rate, while another researcher toppled a 22-year-old conjecture by asking a model to counterexample any problem it liked and then napping, with a tracker of sixteen AI solutions finding problems open an average of 47 years now falling.
Attributed sources:
- Welcome to July 24, 2026 — https://theinnermostloop.substack.com/p/welcome-to-july-24-2026
This citation does not imply independent verification of linked-source claims.

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