Explicit bounds for the sum of reciprocals of pseudoprimes and Carmichael numbers
J. Integer Seq. 20(6), Article 17.6.4, 17 p. (2017)
Summary
Summary: 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.
Mathematics Subject Classification
11N25, 11Y99
Keywords/Phrases
Carmichael number, pseudoprime, reciprocal sum, smooth number
