PƒPPrompts for Progress
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Complete resultmathematics · combinatorial number theory

GPT-5 contributes the key idea for Erdős problem 848

GPT-5 proposed a stability or density idea that Mehtaab Sawhney and Mark Sellke corrected, tightened, and developed into a full solution.

OutcomeComplete result
EvidenceExpert-reviewed
Modehuman-ai collaboration
Promptpartial

Editorial context

What happened

The full chat makes the division of labor unusually inspectable and supports later prompt-method analysis.

Keep in view

Substantial human correction and proof development were required; this was not an autonomous resolution. The public shared page preserves all textual user messages but not the bodies of two uploaded attachments.

Chronology

Timeline

01
Preserved human–AI research chatattempt · month date
02
Early-science report releaseddisclosure · day date

Trust boundaries

Validation

expert reviewpassed

Expert collaborators corrected and completed the proof; community checking followed.

System

AI and tools

  • GPT-5 Pro

People

Human contributors

  • Mehtaab Sawhney
  • Mark Sellke

Organizations

Affiliations

  • OpenAI

Primary materials

Sources and artifacts