A Remark on Chen’s Theorem (Ⅱ)

A Remark on Chen’s Theorem (Ⅱ)

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摘要 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 the previous result 1.104 due to J. Wu.

作者 Yingchun CAI

机构地区 Department of Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2008年第6期687-698,共12页 数学年刊（B辑英文版）

基金 supported by the National Natural Science Foundation of China (Nos. 10171060, 10171076,10471104).

关键词 Chen＇s theorem SIEVE Mean value theorem Chen理论均值定理数论数学研究

分类号 O156 [理学—基础数学]

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参考文献15

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Chinese Annals of Mathematics,Series B

2008年第6期

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A Remark on Chen’s Theorem (Ⅱ)

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