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ShowingImportancePrizesTopicExistential versus universal conjectures1 claim

The comparative difficulty of proving, disproving, or finding counterexamples for mathematical conjectures by their quantifier structure: existential 'there exists' statements versus universal 'for all' statements, especially as it affects AI or automated provers. Excludes claims about specific named conjectures that do not turn on this distinction.

LLMs find existential conjectures easier to prove than universal "for all" conjectures
UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitutionevaluativeA judgment of worth or quality against some standard: good, fair, effective.constitutionLarge language modelsAI mathematical discoveryimportance · minorImportance 0.40, from 0 to 1 · minor: narrow or largely settled, cheap to get right. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution

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