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| A Remark on Chen’s Theorem (II) |
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Citation： |
Yingchun CAI.A Remark on Chen’s Theorem (II)[J].Chinese Annals of Mathematics B,2008,29(6):687~698 |
| Page view： 1275
Net amount： 828 |
Authors： |
Yingchun CAI; |
Foundation： |
Project supported by the National Natural Science Foundation of China (Nos. 10171060, 10171076, 10471104). |
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| Abstract： |
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,$\sum\limits_{{p\le x}\atop{p+2=P_2}}1>\frac{1.13Cx}{\log^2x}, where the constant 1.13 constitutes an improvement of the previous result 1.104 due to J. Wu. |
Keywords： |
Chen’s theorem, Sieve, Mean value theorem |
Classification： |
11N36 |
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