Number Theory

    

Conjectures on Smarandache Generalized Fermat Numbers

Authors: Marius Coman

In this paper I make few conjectures on few classes of generalized Fermat numbers, i.e. the numbers of the form F(k) = 2^(2^k) + n, where k is positive integer and n is an odd number, the numbers of the form F(k) = 4^(4^k) + 3 and the numbers of the form F(k) = m^(m^k) + n, where m + n = p, where p is prime, all subclasses of Smarandache generalized Fermat numbers, i.e. the numbers of the form F(k) = a^(b^k) + c, where a, b are integers greater than or equal to 2 and c is integer such that (a, c) = 1.

Comments: 3 Pages.

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Submission history

[v1] 2014-11-20 06:15:53
[v2] 2014-11-20 13:26:16

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