Does Ten Have a Friend?
Number Theory
2008-06-06 v2 General Mathematics
Abstract
Any positive integer other than 10 with abundancy index 9/5 must be a square with at least 6 distinct prime factors, the smallest being 5. Further, at least one of the prime factors must be congruent to 1 modulo 3 and appear with an exponent congruent to 2 modulo 6 in the prime power factorization of .
Cite
@article{arxiv.0806.1001,
title = {Does Ten Have a Friend?},
author = {Jeffrey Ward},
journal= {arXiv preprint arXiv:0806.1001},
year = {2008}
}