Open Access
2015 A REMARK ON CHEN'S THEOREM WITH SMALL PRIMES
Yingchun Cai
Taiwanese J. Math. 19(4): 1183-1202 (2015). DOI: 10.11650/tjm.19.2015.4973

Abstract

Let $N$ denote a sufficiently large even integer. In this paper itis proved that for $0.941 \leq \theta \leq 1$, the equation$$N=p+P_2,\hspace{10mm} p\leq N^{\theta}$$is solvable, where $p$ is a prime and $P_2$ is an almost prime withat most two prime factors. The range $0.941 \leq \theta \leq 1$ extended the previous one $0.945 \leq \theta \leq 1$.

Citation

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Yingchun Cai. "A REMARK ON CHEN'S THEOREM WITH SMALL PRIMES." Taiwanese J. Math. 19 (4) 1183 - 1202, 2015. https://doi.org/10.11650/tjm.19.2015.4973

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.11097
MathSciNet: MR3384685
Digital Object Identifier: 10.11650/tjm.19.2015.4973

Subjects:
Primary: 11N36 , 11P32

Keywords: Chen's theorem , mean value theorem , sieve method

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 4 • 2015
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