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On Amicable Numbers With Different Parity

Germano D'Abramo
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Abstract

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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Germano D'Abramo. 2007-05-23. On Amicable Numbers With Different Parity. https://arxiv.org/abs/math/0501402

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