On Amicable Numbers With Different Parity

Details On Amicable Numbers With Different Parity On Amicable Numbers With Different Parity

2005-01-24

arxiv.org/abs/math/0501402v4

Mathematics

History and Overview

Plain LaTeX, 7 pages. This paper was submitted to the American Mathematical Monthly. AMM was not able to accept it since, amaz

Scientific paper

In this paper we provide a straightforward proof that if a pair of amicable
numbers with different parity exists (one number odd and the other one even),
then the odd amicable number must be a perfect square, while the even amicable
number has to be equal to the product of a power of 2 and an odd perfect
square.

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