Journal of Integer Sequences, Vol. 20 (2017), Article 17.6.4

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


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.)

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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