Outline of a proof that every odd perfect number has at least eight prime factors
Author:
Peter Hagis
Journal:
Math. Comp. 35 (1980), 10271032
MSC:
Primary 10A20
DOI:
https://doi.org/10.1090/S00255718198005728739
MathSciNet review:
572873
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Abstract: An argument is outlined which demonstrates that every odd perfect number is divisible by at least eight distinct primes.

E. Z. CHEIN, "Nonexistence 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numbers of the form $q_1^{{a_1}}q_2^{{a_2}} \cdots q_6^{{a_6}}$ and ${5^{{a_1}}}q_2^{{a_2}} \cdots q_9^{{a_9}}$ (Unpublished manuscript.)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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Article copyright:
© Copyright 1980
American Mathematical Society