Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-30T16:06:26.208Z Has data issue: false hasContentIssue false
  • English
  • Français

The Fifth Unitary Perfect Number

Published online by Cambridge University Press:  20 November 2018

Charles R. Wall
Charles R. Wall*
Affiliation:
University of South Carolina
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A divisor d of a positive integer n is a unitary divisor if d and n/d are relatively prime. An integer is said to be unitary perfect if it equals the sum of its proper unitary divisors. Subbarao and Warren [2] gave the first four unitary perfect numbers: 6, 60, 90 and 87360. In 1969,1 reported [3] that

is also unitary perfect. The purpose of this paper is to show that this last number, which for brevity we denote by W, is indeed the next unitary perfect number after 87360.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 1 , April 1975 , pp. 115 - 122
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Subbarao, M. V., Are there an infinity of unitary perfect numbers?, Amer. Math. Monthly, 77 (1970), pp. 389-390.Google Scholar
2. Subbarao, M. V. and Warren, L. J., Unitary perfect numbers, Canad. Math. Bull. 9 (1966), pp.147-153.Google Scholar
3. Wall, C. R., A new unitary perfect number, Notices Amer. Math. Soc, 16 (1969), p. 825.Google Scholar