International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 6, Pages 377-381

On the irregularity of the distribution of the sums of pairs of odd primes

George Giordano

Department of Mathematics, Physics and Computer Science, Ryerson University, Toronto, Ontario M5B 2K3, Canada

Received 1 October 2001

Copyright © 2002 George Giordano. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let P2(n) denote the number of ways of writing n as a sum of two odd primes. We support a conjecture of Hardy and Littlewood concerning P2(n) by showing that it holds in a certain “average” sense. Thereby showing the irregularity of P2(n).