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On relatively prime odd amicable numbers


Author: Peter Hagis
Journal: Math. Comp. 23 (1969), 539-543
MSC: Primary 10.43
DOI: https://doi.org/10.1090/S0025-5718-1969-0246816-7
MathSciNet review: 0246816
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Abstract: Whether or not a relatively prime pair of amicable numbers exists is still an open question. In this paper some necessary conditions for $ m$ and $ n$ to be a pair of odd relatively prime amicable numbers are proved. In particular, lower bounds for $ m$, $ n$, $ mn$ and the number of prime divisors of $ mn$ are established. The arguments are based on an extensive case study carried out on the CDC 6400 at the Temple University Computing Center.


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DOI: https://doi.org/10.1090/S0025-5718-1969-0246816-7
Article copyright: © Copyright 1969 American Mathematical Society