trailThere are infinitely many pairs of primes that differ by exactly 2.
For every positive even number n, there are infinitely many pairs of consecutive primes differing by n.
There is some N below 70 million such that infinitely many pairs of primes differ by exactly N.
Proven approximations: bounded gaps and Chen's theorem· for
There are infinitely many pairs of primes whose difference is at most a fixed constant.
There are infinitely many pairs of primes that differ by at most 246.
atomic
There are infinitely many primes p such that p + 2 is either prime or a product of two primes.
atomic
Hardy–Littlewood heuristic and numerical evidence· for
The number of twin prime pairs below x is asymptotically 2 C₂ x/(log x)².
atomic
claim · mathematicalA 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 →claim page ↗︎
There are infinitely many pairs of primes that differ by exactly 2.
↑SupportedEvidence favors the claim, but the chain is incomplete or the sources are secondary.constitution →credence 0.97Credence, from 0 to 1: the Steward's probability that the claim, as stated, is true. Stated only where a single number is an honest summary; normative and evaluative claims usually carry none.constitution →
2depended on by
this rests on ↓
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