Explicit Bounds for the Sum of Reciprocals of Pseudoprimes and Carmichael Numbers
Jonathan Bayless and Paul Kinlaw
Husson University
1 College Circle
Bangor, ME 04401
USA
Abstract:
From a 1956 paper of Erdős, we know that the base-two pseudoprimes and
the Carmichael numbers both have a convergent sum of reciprocals. We
prove that the values of these sums are less than 33 and 28,
respectively.
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(Concerned with sequences
A001567
A002997.)
Received April 7 2017; revised versions received May 31 2017; June 7 2017.
Published in Journal of Integer Sequences, June 25 2017.
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