This market resolves YES if an OpenAI model solves, provides complete proofs or finds proofs for all the remaining unsolved Erdős problems by December 31, 2029.

Resolution: Market resolves YES if credible mathematical sources (peer-reviewed papers, Fields medalists, or the Erdős Problems database maintainers) confirm that an OpenAI model has independently derived complete proofs for all the remaining Erdős problems so that there won't be an open problem anymore. Finding existing solutions in literature counts as solving as long as the problems were marked open.

Sources for verification:

• https://www.erdosproblems.com/ (official database)

• arXiv.org (for published proofs)

• Mathematical community announcements