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The Second Largest Prime Factor of an Odd Perfect Number

Carl Pomerance
Mathematics of Computation
Vol. 29, No. 131 (Jul., 1975), pp. 914-921
DOI: 10.2307/2005305
Stable URL: http://www.jstor.org/stable/2005305
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Second Largest Prime Factor of an Odd Perfect Number
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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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