Outline of a proof that every odd perfect number has at least eight prime factors
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- by Peter Hagis PDF
- Math. Comp. 35 (1980), 1027-1032 Request permission
Abstract:
An argument is outlined which demonstrates that every odd perfect number is divisible by at least eight distinct primes.References
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E. Z. CHEIN, "Non-existence of odd perfect numbers of the form $q_1^{{a_1}}q_2^{{a_2}} \cdots q_6^{{a_6}}$ and ${5^{{a_1}}}q_2^{{a_2}} \cdots q_9^{{a_9}}$ (Unpublished manuscript.)
P. HAGIS, JR., "If n is odd and perfect then $n > {10^{45}}$. A case study proof with a supplement in which the lower bound is improved to ${10^{50}}$." (Copy deposited in UMT file.)
P. HAGIS, JR., "Every odd perfect number has at least eight prime factors." (Copy deposited in UMT file.)
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Math. Comp. 35 (1980), 1027-1032
- MSC: Primary 10A20
- DOI: https://doi.org/10.1090/S0025-5718-1980-0572873-9
- MathSciNet review: 572873