文章基本信息

标题：On the Sum of Reciprocals of Mersenne Primes
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作者：Yoshihiro Tanaka
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2017
卷号：07
期号：02
页码：145-148
DOI：10.4236/ajcm.2017.72012
语种：English
出版社：Scientific Research Publishing
摘要：The sum of reciprocals of Mersenne primes converges to 0.51645417894078856533 ··· , which is an example of a probably infinite subset of primes whose sum of reciprocals is finite and can be computed accurately. This value is larger than , wh ere i s t he set of perfect powers of prime numbers.
关键词：Mersenne Primes;the Sum of Reciprocals;Unresolved Problem