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http://dx.doi.org/10.11568/kjm.2016.24.1.107

ALMOST-PRIMES REPRESENTED BY p + am  

Lu, Yaming (School of Mathematics and Statistics Xi'an Jiaotong University)
Publication Information
Korean Journal of Mathematics / v.24, no.1, 2016 , pp. 107-138 More about this Journal
Abstract
Let $a{\geqslant}2$ be a xed integer in this paper. By using the method of Goldston, Pintz and Yildirm, we will prove that there are innitely many almost-primes which can be represented as $p+a^m$ in at least two dierent ways.
Keywords
almost-primes; Goldston-Pintz-Yildirim's method; sieve method;
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