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| Chen’s Theorem with Small Primes |
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Citation： |
Yingjie LI,Yingchun CAI.Chen’s Theorem with Small Primes[J].Chinese Annals of Mathematics B,2011,32(3):387~396 |
| Page view： 1967
Net amount： 1870 |
Authors： |
Yingjie LI; Yingchun CAI; |
Foundation： |
the Excellent Youth Scholars of Shanghai (No. ssc08017) and the Doctoral Research
Fund of Shanghai Ocean University. |
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| Abstract： |
Let $N$ be a sufficiently
large even integer. Let $p$ denote a prime and $P_2$ denote an
almost prime with at most two prime factors. In this paper, it is
proved that the equation $N = p + P_2$ $(p \le N^{0.945})$ is
solvable. |
Keywords： |
Chen’s Theorem, Sieve method, Mean value theorem |
Classification： |
11N36 |
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