A new result concerning the structure of odd perfect numbers
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- by Peter Hagis and Wayne L. McDaniel PDF
- Proc. Amer. Math. Soc. 32 (1972), 13-15 Request permission
Abstract:
It is proved here that an odd number of the form ${p^\alpha }{s^6}$, where s is square-free, p is a prime which does not divide s, and p and $\alpha$ are both congruent to 1 modulo 4, cannot be perfect.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 13-15
- MSC: Primary 10A25
- DOI: https://doi.org/10.1090/S0002-9939-1972-0292740-5
- MathSciNet review: 0292740