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Brun's Theorem


The series producing Brun's constant converges even if there are an infinite number of twin primes, first proved by Brun (1919).


See also

Brun's Constant, Twin Primes

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References

Brun, V. "La serie 1/5+1/7+1/11+1/13+1/17+1/19+1/29+1/31+1/41+1/43+1/59+1/61+..., les dénominateurs sont nombres premiers jumeaux est convergente où finie." Bull. Sci. Math. 43, 124-128, 1919.Landau, E. Elementare Zahlentheorie. Leipzig, Germany: Hirzel, 1927. Reprinted Providence, RI: Amer. Math. Soc., 1990.

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Brun's Theorem

Cite this as:

Weisstein, Eric W. "Brun's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BrunsTheorem.html

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