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A Remark on Chen’s Theorem (Ⅱ)
作者单位:Yingchun CAI Department of Mathematics,Tongji University,Shanghai 200092,China.
摘    要:Let p denote a prime and P2 denote an almost prime with at most two prime factors. The author proves that for suffciently large x,sum from 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.

关 键 词:Chen’s theorem   Sieve   Mean value theorem
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