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There Are No Odd Perfect Numbers

2021/01/11 by Saeid-Nia, Hooshang
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2101.07176

Abstract

While the general form of even perfect numbers is well-known, the existence or non-existence of odd perfect numbers is still an open problem. We address this problem and prove that if a natural number is odd, then it's not perfect.

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