# Chen's Theorem with Small Primes

ORIGINAL ARTICLES

- Received:
- Accepted:

DOI: 10.1007/s101140200168

- Cite this article as:
- Cai, Y.C. Acta Math Sinica (2002) 18: 597. doi:10.1007/s101140200168

- 1 Citations
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## 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 theoremSieveMean value theorem**MR (2000) Subject Classification**

11N36## Copyright information

© Springer-Verlag Berlin Heidelberg 2002