Sketch of a proof that an odd perfect number relatively prime to $3$ has at least eleven prime factors
Author:
Peter Hagis
Journal:
Math. Comp. 40 (1983), 399-404
MSC:
Primary 11A25; Secondary 11-04
DOI:
https://doi.org/10.1090/S0025-5718-1983-0679455-1
MathSciNet review:
679455
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Abstract: An argument is outlined which demonstates that every odd perfect number which is not divisible by 3 has at least eleven distinct prime factors.
- Peter Hagis Jr., Outline of a proof that every odd perfect number has at least eight prime factors, Math. Comp. 35 (1980), no. 151, 1027–1032. MR 572873, DOI https://doi.org/10.1090/S0025-5718-1980-0572873-9
- Peter Hagis Jr., On the second largest prime divisor of an odd perfect number, Analytic number theory (Philadelphia, Pa., 1980) Lecture Notes in Math., vol. 899, Springer, Berlin-New York, 1981, pp. 254–263. MR 654532 P. Hagis, Jr., "Every odd perfect number not divisible by 3 has at least eleven distinct prime factors." (Copy deposited in UMT file.)
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- Carl Pomerance, Odd perfect numbers are divisible by at least seven distinct primes, Acta Arith. 25 (1973/74), 265–300. MR 340169, DOI https://doi.org/10.4064/aa-25-3-265-300
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Article copyright:
© Copyright 1983
American Mathematical Society