Every odd perfect number has a prime factor which exceeds $10^6$
Authors:
Peter Hagis Jr. and Graeme L. Cohen
Journal:
Math. Comp. 67 (1998), 1323-1330
MSC (1991):
Primary 11A25, 11Y70
DOI:
https://doi.org/10.1090/S0025-5718-98-00982-X
MathSciNet review:
1484897
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Abstract | References | Similar Articles | Additional Information
Abstract: It is proved here that every odd perfect number is divisible by a prime greater than $10^{6}$.
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Additional Information
Peter Hagis Jr.
Affiliation:
Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
Graeme L. Cohen
Affiliation:
Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122;
School of Mathematical Sciences, University of Technology, Sydney, Broadway, NSW 2007, Australia
Email:
g.cohen@maths.uts.edu.au
Received by editor(s):
October 24, 1995
Received by editor(s) in revised form:
July 10, 1996
Article copyright:
© Copyright 1998
American Mathematical Society