Geodesic
The range of the sum-of-proper-divisors function
Florian Luca1 ; Carl Pomerance2
1 School of Mathematics University of the Witwatersrand P.O. Box Wits 2050 Johannesburg, South Africa
2 Department of Mathematics Dartmouth College Hanover, NH 03755-3551, U.S.A.
Acta Arithmetica, Tome 168 (2015) no. 2, pp. 187-199 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Answering a question of Erdős, we show that a positive proportion of even numbers are in the form $s(n)$, where $s(n)=\sigma (n)-n$, the sum of proper divisors of $n$.
DOI : 10.4064/aa168-2-6
Keywords: answering question erd positive proportion even numbers form where sigma n sum proper divisors nbsp

Florian Luca 1 ; Carl Pomerance 2

1 School of Mathematics University of the Witwatersrand P.O. Box Wits 2050 Johannesburg, South Africa
2 Department of Mathematics Dartmouth College Hanover, NH 03755-3551, U.S.A. 
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Florian Luca; Carl Pomerance. The range of the sum-of-proper-divisors function. Acta Arithmetica, Tome 168 (2015) no. 2, pp. 187-199. doi: 10.4064/aa168-2-6

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