Sum of Reciprocals of Germain Primes
Samuel S. Wagstaff, Jr.
Center for Education and Research in Information Assurance and Security
and
Department of Computer Sciences
Purdue University
West Lafayette, IN 47907-1398
USA
Abstract:
A prime p is a Germain prime if 2p + 1 is also prime.
We compute the sum
of the reciprocals of the Germain primes and related sequences. Since
we do not know whether there are infinitely many Germain primes, all we
can do is bound the sum in an interval.
Full version: pdf,
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(Concerned with sequences
A001097
A005384
A023212
A023228.)
Received August 16 2021;
revised version received October 2 2021.
Published in Journal of Integer Sequences,
October 2 2021.
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