Odd integers with five distinct prime factors for which

Author:
Masao Kishore

Journal:
Math. Comp. **32** (1978), 303-309

MSC:
Primary 10A20

DOI:
https://doi.org/10.1090/S0025-5718-1978-0485658-X

MathSciNet review:
0485658

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Abstract: We make a table of odd integers *N* with five distinct prime factors for which , and show that for such . Using this inequality, we prove that there are no odd perfect numbers, no quasiperfect numbers and no odd almost perfect numbers with five distinct prime factors. We also make a table of odd primitive abundant numbers *N* with five distinct prime factors for which .

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DOI:
https://doi.org/10.1090/S0025-5718-1978-0485658-X

Article copyright:
© Copyright 1978
American Mathematical Society