On perfect and near-perfect numbers

Details On perfect and near-perfect numbers On perfect and near-perfect numbers

2010-11-29

arxiv.org/abs/1011.6160v3

Mathematics

Number Theory

4 pages. At the beginning of 2012, Donavan Johnson found the first odd near-perfect number

Scientific paper

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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