Journal of the Australian Mathematical Society (Series A)

Research Article

Some results concerning quasiperfect numbers

Peter Hagis Jra1 and Graeme L. Cohena2

a1 Department of Mathematics Temple University Philadelphia, Pennsylvania 19122, U.S.A.

a2 School of Mathematical Sciences The New South Wales Institute of Technology Broadway, New South Wales 2007, Australia

Abstract

New 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 xs2224 n then ω(n) ≥ 9 and n > 1040.

(Received June 03 1981)

1980 Mathematics subject classification (Amer. Math. Soc.)

  • 10 A 20