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On the Sum of Reciprocals of Mersenne Primes
Faculty of Economics and Business, Hokkaido University, Sapporo, Japan
- 1 Faculty of Economics and Business, Hokkaido University, Sapporo, Japan
American Journal of Computational Mathematics·Volume 07 (2017)·Pages 145–148·Published 8 June 2017·DOI10.4236/ajcm.2017.72012
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Abstract
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.
KeywordsMersenne Primesthe Sum of ReciprocalsUnresolved Problem
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