Sum of Reciprocals of Germain Primes
Samuel S. Wagstaff, Jr.
Center for Education and Research in Information Assurance and Security
Department of Computer Sciences
West Lafayette, IN 47907-1398
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,
(Concerned with sequences
Received August 16 2021;
revised version received October 2 2021.
Published in Journal of Integer Sequences,
October 2 2021.
Journal of Integer Sequences home page