## Abstract

Let is solvable, where

*N*be a sufficiently large even integer. In this paper it is proved that the equation$$
\begin{array}{*{20}c}
{{N = p + P_{2} ,}} & {{p \leqslant N^{{0.95}} ,}} \\
\end{array}
$$

*p*denotes a prime and*P*_{2}denotes an almost prime with at most two prime factors.## Keywords

Chen's theorem Sieve Mean value theorem## **MR (2000) Subject Classification**

11N36 ## Preview

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## References

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