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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

The second largest prime factor of an odd perfect number


Author: Carl Pomerance
Journal: Math. Comp. 29 (1975), 914-921
MSC: Primary 10A25; Secondary 10A40
MathSciNet review: 0371801
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Abstract: Recently Hagis and McDaniel have studied the largest prime factor of an odd perfect number. Using their results, we begin the study here of the second largest prime factor. We show it is at least 139. We apply this result to show that any odd perfect number not divisible by eight distinct primes must be divisible by 5 or 7.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0371801-7
PII: S 0025-5718(1975)0371801-7
Article copyright: © Copyright 1975 American Mathematical Society