Number Theory

    

Observation on the Lenght of the Period of the Rational Number Which is the Sum of 1÷(ni-1) Where ni Are Odd Semiprimes not Divisible by 3

Authors: Marius Coman

In this paper I make the following observation: let n1, n2,..., ni be the ordered set of the odd semiprimes not divisible by 3; then the period of the rational number which is the sum 1/(n1 – 1) + 1/(n2 – 1) +...+ 1/(ni - 1) seems to be always (for any i) divisible by 48. This is not the fact when the semiprimes n1, n2,..., ni are not the ordered set of such semiprimes but few randomly taken (even consecutive) such semiprimes.

Comments: 2 Pages.

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Submission history

[v1] 2016-03-03 04:42:01

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