Brun'S Theorem


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What is Brun's theorem?

In number theory, Brun's theorem states that the sum of the reciprocals of the twin primes (pairs of prime numbers which differ by 2) converges to a finite value known as Brun's constant, usually denoted by B2 (sequence in the OEIS). Brun's theorem was proved by Viggo Brun in 1919, and it has historical importance in the introduction of sieve methods.

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constantmathematical constantpropositionquantitysieve theorystatementtheoremtheorems about prime numbertheorems in number theorytheory


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