Some Properties of a Sequence Defined with the Aid of Prime Numbers

Br#259; du#355; Apostol

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Some Properties of a Sequence Defined with the Aid of Prime Numbers

机译：借助质数定义的序列的某些属性

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摘要

For every integer n ≥ 1 let an be the smallest positive integer such that n+an is prime. We investigate the behavior of the sequence (an)n≥1, and prove asymptotic results for the sums Σn≤x an, Σn≤x 1/an, and Σn≤x log an.

机译：对于每个n≥1的整数，令a为最小的正整数，使得n + an为质数。我们研究序列（an）n≥1的行为，并证明总和Σn≤xan，Σn≤x1 / an和Σn≤xlog an的渐近结果。

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《Journal of Integer Sequences》 |2015年第3期|共页
作者
Br#259; du#355; Apostol;
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中图分类数学;
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Some Properties of a Sequence Defined with the Aid of Prime Numbers

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