Additive properties of even perfect numbers

Details Additive properties of even perfect numbers Additive properties of even perfect numbers

2009-12-30

arxiv.org/abs/0912.5504v1

Mathematics

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3 pages

Scientific paper

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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