supported by the National Natural Science Foundation of China (Nos. 10171060, 10171076,10471104).
Let p denote a prime and P2 denote an almost prime with at most two prime factors. The author proves that for sufficiently large x,∑p≤x p+2=P2 1〉1.13Cx/log^2x,where the constant 1.13 constitutes an improvement of ...