Some results concerning quasiperfect numbers-Reference-Cited by-同舟云学术

Some results concerning quasiperfect numbers

Published:1982-10 Issue:2 Volume:33 Page:275-286
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Hagis Peter,Cohen Graeme L.

Abstract

AbstractNew methods are introduced here to show that if n is a quasiperfect number and ω(n) the number of its distinct prime factors, then ω(n) ≥ 7 and n > 1035, and if further 3 ∤ n then ω(n) ≥ 9 and n > 1040.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference8 articles.

1. Odd integers N with five distinct prime factors for which 2 - 10-12 < σ (N)/N < 2 + 10-12;Kishore;Math. Comp.,1978

2. Almost Perfect Numbers

3. Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors

4. Corrections to the paper "Quasiperfect numbers"

5. Quasiperfect numbers

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