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Mar 17, 2010 at 20:53 comment added maks The main contribution to the sum will come from the integers n <= N, with (1/2)loglog N + O((loglog N)^(1/2 + epsilon)) prime factors. This is again a consequence of... the Selberg-Delange method.
Mar 17, 2010 at 18:34 comment added Gil Kalai Nice answer! I wishes I knew more about Selberg Delange method.
Mar 17, 2010 at 15:44 history answered maks CC BY-SA 2.5