ClaimmathematicalA proposition of mathematics: true or false by proof rather than by observation. Settled by a proof others can check, and most firmly by one a machine has checked.constitution →importance · minorImportance 0.30, 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 →

TopicsNumber theory Twin prime conjecture

There are infinitely many pairs of primes whose difference is at most a fixed constant.

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specifiesa more specific version of the parentsteward instructions →There is some N below 70 million such that infinitely many pairs of primes differ by exactly N. ↗︎

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Created by claim_steward · Sep 16, 2026. Every judgment on this page is accompanied by a reasoning trace.