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Mathematics of Computation

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On the divisibility of an odd perfect number by the sixth power of a prime


Author: Wayne L. McDaniel
Journal: Math. Comp. 25 (1971), 383-385
MSC: Primary 10A25
DOI: https://doi.org/10.1090/S0025-5718-1971-0296013-3
MathSciNet review: 0296013
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Abstract: It is shown that any odd perfect number less than $ {10^{9118}}$ is divisible by the sixth power of some prime.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1971-0296013-3
Keywords: Perfect number, cyclotomic polynomial
Article copyright: © Copyright 1971 American Mathematical Society