- Viggo Brun
Viggo Brun (
13 October 1885 , Lier –15 August 1978 ,Drøbak ) was a Norwegian mathematician.He studied at the
University of Oslo and began research at theUniversity of Gottingen in 1910. In 1923, Brun became a professor at the Technical University in Trondheim and in 1946 a professor at theUniversity of Oslo . He retired in 1955 at the age of 70.In 1915, he introduced a new method, based on Legendre's version of the
sieve of Eratosthenes , now known as the "Brun sieve ", which addresses additive problems such asGoldbach's conjecture and thetwin prime conjecture . He used it to prove that there exist infinitely many integers n such that n and n+2 have at most nine prime factors; and that all large even integers are the sum of two integers each having at most nine prime factors. He also showed that the sum of the reciprocals oftwin prime s converges to a finite value, now calledBrun's constant : by contrast, the sum of the reciprocals of all primes is divergent. He developed a multi-dimensionalcontinued fraction algorithm in 1919/20 and applied this to problems in musical theory.ee also
*
Brun's theorem
*Brun-Titchmarsh theorem
*Sieve theory References
* H. Halberstam and
H. E. Richert , "Sieve methods", Academic Press (1974) ISBN 0-12-318250-6. "Gives an account of Brun's sieve".
* C.J. Scriba, "Viggo Brun", Historia Mathematica 7 (1980) 1-6.
* [http://www.numbertheory.org/obituaries/OTHERS/brun/ C.J. Scriba, "Zur errinerung an Viggo Brun", Mitt. Math. Ges. Hamburg 11 (1985) 271-290]External links
* Brun's Constant: http://planetmath.org/encyclopedia/BrunsConstant.html
* Brun's Pure Sieve: http://planetmath.org/encyclopedia/BrunsPureSieve.html
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