Explicit bounds for the sum of reciprocals of pseudoprimes and Carmichael numbers
Journal of integer sequences, Tome 20 (2017) no. 6
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.
Classification :
11N25, 11Y99
Keywords: Carmichael number, pseudoprime, reciprocal sum, smooth number
Keywords: Carmichael number, pseudoprime, reciprocal sum, smooth number
@article{JIS_2017__20_6_a1,
author = {Bayless, Jonathan and Kinlaw, Paul},
title = {Explicit bounds for the sum of reciprocals of pseudoprimes and {Carmichael} numbers},
journal = {Journal of integer sequences},
year = {2017},
volume = {20},
number = {6},
zbl = {1426.11093},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_6_a1/}
}
Bayless, Jonathan; Kinlaw, Paul. Explicit bounds for the sum of reciprocals of pseudoprimes and Carmichael numbers. Journal of integer sequences, Tome 20 (2017) no. 6. http://geodesic.mathdoc.fr/item/JIS_2017__20_6_a1/