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Hyperperfect numbers with three different prime factors


Author: Herman J. J. te Riele
Journal: Math. Comp. 36 (1981), 297-298
MSC: Primary 10A20; Secondary 10A40
DOI: https://doi.org/10.1090/S0025-5718-1981-0595066-9
MathSciNet review: 595066
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Abstract | References | Similar Articles | Additional Information

Abstract: The existence of hyperperfect numbers with more than two different prime factors is shown by five examples.


References [Enhancements On Off] (What's this?)

  • [1] L. Euler, "De Numeris Amicabilibus", Leonhardi Euleri Opera Omnia, Teubner, Leipzig and Berlin, Ser. I, vol. 2, 1915, pp. 86-162.
  • [2] D. Minoli, "Issues in nonlinear hyperperfect numbers," Math. Comp., v. 34, 1980, pp. 639-645. MR 559206 (82c:10005)
  • [3] H. J. J. Te Riele, Hyperperfect Numbers With More Than Two Different Prime Factors, Report NW 87/80, Mathematical Centre, Amsterdam, August 1980.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1981-0595066-9
Keywords: Hyperperfect numbers
Article copyright: © Copyright 1981 American Mathematical Society

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