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

Explore with Wolfram|Alpha


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.

Referenced on Wolfram|Alpha

Brun's Theorem

Cite this as:

Weisstein, Eric W. "Brun's Theorem." From MathWorld--A Wolfram Web Resource.

Subject classifications