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arXiv · 0803.1740

Primes in the form $[αp+β]$

Hongze Li·Hao Pan
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Abstract

Let βbe a real number. Then for almost all irrational α>0 (in the sense of Lebesgue measure) \limsup_{x\to\infty}π_{α,β}^*(x)(\log x)^2/x>=1, where π_{α,β}^*(x)={p<=x: both p and [αp+β] are primes}.

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Hongze Li, Hao Pan. 2008-04-05. Primes in the form $[αp+β]$. https://arxiv.org/abs/0803.1740

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