Unitary Perfect Numbers
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 147-153
Voir la notice de l'article provenant de la source Cambridge
Let σ*(N) denote the sum of the unitary divisors of N, that is, It is easily seen that σ*(N) is multiplicative. In fact σ*(l) = 1 if N > 1 has the prime decomposition . Let us define a positive integer to be unitary perfect whenever σ*(N) = 2N. The first four such numbers are 6, 60, 90 and 87, 360. In a recent abstract [ l ] published by one of us, the last of these numbers was overlooked. No other unitary perfect numbers are known to the authors.
Subbarao, M.V.; Warren, L. J. Unitary Perfect Numbers. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 147-153. doi: 10.4153/CMB-1966-018-4
@article{10_4153_CMB_1966_018_4,
author = {Subbarao, M.V. and Warren, L. J.},
title = {Unitary {Perfect} {Numbers}},
journal = {Canadian mathematical bulletin},
pages = {147--153},
year = {1966},
volume = {9},
number = {2},
doi = {10.4153/CMB-1966-018-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-018-4/}
}
Cité par Sources :