On the Sum of Reciprocals of Mersenne Primes

• 作者: Yoshihiro Tanaka
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Mersenne PRIMES the SUM of Reciprocals Unresolved PROBLEM
• 年，卷（期）: 2017,（2）
• 页码范围: 145-148
• 页数: 4页
• 分类号: O1

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 , where ?is the set of perfect powers of prime numbers.