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
@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/}
}
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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/