Number Theory

    

Further Investigations on Euler's Odd Perfect Numbers

Authors: Chandan Chattopadhyay

It is a long-standing question whether there exists an odd perfect number. This article establishes a complete theory in order to prove that if an oddperfect number n exists then n = pm^2 with p prime and p is congruent to 1 (mod 4), andgcd (p, m) = 1.

Comments: 11 Pages.

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[v1] 2024-02-20 14:03:36

Unique-IP document downloads: 221 times

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