%0 Journal Article %T Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2 %A Jie Wu %J Mathematics %D 2007 %I arXiv %R 10.4064/aa131-4-5 %X For every even integer N, denote by D_{1,2}(N) the number of representations of N as a sum of a prime and an integer having at most two prime factors. In this paper, we give a new lower bound for D_{1,2}(N). %U http://arxiv.org/abs/0709.3764v1