Authors: Marius Coman
The lenght of the period of the rational number which is the sum, from n = 1 to n = ∞, of the numbers 1/(Cn – 1), where {C1, C2, ..., Cn} is the ordered set of Carmichael numbers, i.e. {561, 1105, 1729, 2465, ...}, seems to be always multiple of 66. This property doesn’t apply always when C1, C2, ..., Cn are not consecutive, so this pattern could be a way to determinate if between two known Carmichael numbers there exist other unknown Carmichael numbers.
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[v1] 2013-11-26 06:51:46
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