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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 A065421 in the OEIS). Brun's theorem was proved by Viggo Brun in 1919, and it has historical importance in the introduction of sieve…

Numerical estimates, Further results & Asymptotic bounds on twin primes

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Asymptotic bounds on twin primes

Numerical estimates

Further results

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Brun's theorem

Nodes31
Edges30
Triples12
Avg. degree1.94
Density0.064516
Components1

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Brun's theorem

Top relations

related to External links · 12
Brun's theorem → Brun's, Brun's Constant, Brun-type, Eric, Introduction, MathWorld, Pascal, PlanetMath, Sebah, Weisstein, Wolf's, Xavier Gourdon

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primes twin constant brun's sum prime reciprocals b2 converges many number theorem also proved displaystyle infinitely pairs value sequence oeis

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Brun's theoremrelated to External linksWeisstein0.60section
Brun's theoremrelated to External linksEric0.60section
Brun's theoremrelated to External linksBrun's Constant0.60section
Brun's theoremrelated to External linksMathWorld0.60section
Brun's theoremrelated to External linksBrun's0.60section
Brun's theoremrelated to External linksPlanetMath0.60section
Brun's theoremrelated to External linksSebah0.60section
Brun's theoremrelated to External linksPascal0.60section
Brun's theoremrelated to External linksXavier Gourdon0.60section
Brun's theoremrelated to External linksIntroduction0.60section
Brun's theoremrelated to External linksWolf's0.60section
Brun's theoremrelated to External linksBrun-type0.60section

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