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arXiv · 1011.6160

On perfect and near-perfect numbers

Vladimir Shevelev
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Abstract

We call positive integer n a near-perfect number, if it is sum of all its proper divisors, except of one of them ("redundant divisor"). We prove an Euclid-like theorem for near-perfect numbers and obtain some other results for them.

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Vladimir Shevelev. 2012-02-17. On perfect and near-perfect numbers. https://arxiv.org/abs/1011.6160

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