Odd perfect numbers have a prime factor exceeding $10^{7}$
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Abstract:
It is proved that every odd perfect number is divisible by a prime greater than $10^{7}$.References
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Additional Information
- Paul M. Jenkins
- Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
- Email: pmj5@math.byu.edu
- Received by editor(s): November 7, 2001
- Published electronically: January 8, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Math. Comp. 72 (2003), 1549-1554
- MSC (2000): Primary 11A25, 11Y70
- DOI: https://doi.org/10.1090/S0025-5718-03-01496-0
- MathSciNet review: 1972752