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Mathematics of Computation

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Odd perfect numbers have a prime factor exceeding $10^{7}$

Author: Paul M. Jenkins
Journal: Math. Comp. 72 (2003), 1549-1554
MSC (2000): Primary 11A25, 11Y70
Published electronically: January 8, 2003
MathSciNet review: 1972752
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Abstract: It is proved that every odd perfect number is divisible by a prime greater than $10^{7}$.

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Paul M. Jenkins
Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602

Received by editor(s): November 7, 2001
Published electronically: January 8, 2003
Article copyright: © Copyright 2003 American Mathematical Society