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arXiv · 0912.5504

Additive properties of even perfect numbers

Yu Tsumura
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Abstract

A positive integer n is said to be perfect if sigma(n)=2n, where sigma denotes the sum of the divisors of n. In this article, we show that if n is an even perfect number, then any integer m<=n is expressed as a sum of some of divisors of n.

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Yu Tsumura. 2009-12-30. Additive properties of even perfect numbers. https://arxiv.org/abs/0912.5504

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