Authors: Marius Coman
In this paper I make the following observation: let p1, p2,..., pi be the ordered set of the 2-Poulet numbers; then the length of the period of the rational number which is the sum 1/(p1 – 1) + 1/(p2 – 1) +...+ 1/(ni - 1) seems to be always (for any i > 2) divisible by 240. This is not the fact when the numbers p1, p2,..., pi are not the ordered set of 2-Poulet numbers but few randomly taken (even consecutive) 2-Poulet numbers. For a related topic see my previous paper “A pattern that relates Carmichael numbers to the number 66” where I noticed that the length of the period of the rational number which is the sum 1/(c1 – 1) + 1/(c2 – 1) +...+ 1/( ci - 1), where c1, c2, ..., ci is the ordered set of Carmichael numbers, seems to be always divisible by 66.
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