The Fifth Unitary Perfect Number
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 115-122
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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.
Wall, Charles R. The Fifth Unitary Perfect Number. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 115-122. doi: 10.4153/CMB-1975-021-9
@article{10_4153_CMB_1975_021_9,
author = {Wall, Charles R.},
title = {The {Fifth} {Unitary} {Perfect} {Number}},
journal = {Canadian mathematical bulletin},
pages = {115--122},
year = {1975},
volume = {18},
number = {1},
doi = {10.4153/CMB-1975-021-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-021-9/}
}
[1] 1. Subbarao, M. V., Are there an infinity of unitary perfect numbers?, Amer. Math. Monthly, 77 (1970), pp. 389-390. Google Scholar
[2] 2. Subbarao, M. V. and Warren, L. J., Unitary perfect numbers, Canad. Math. Bull. 9 (1966), pp.147-153. Google Scholar
[3] 3. Wall, C. R., A new unitary perfect number, Notices Amer. Math. Soc, 16 (1969), p. 825. Google Scholar
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