Variations on Euclid's formula for perfect numbers
Journal of integer sequences, Tome 13 (2010) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study several families of solutions to equations of the form $\sigma (n) = An + B(n)$, where $B$ is a function that may depend on properties of $n$.
Classification : 11A25, 11D99
Keywords: sum of divisors function, multiply perfect number, Diophantine equation involving arithmetic functions, integer sequence
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     title = {Variations on {Euclid's} formula for perfect numbers},
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Firoozbakht, Farideh; Hasler, Maximilian F. Variations on Euclid's formula for perfect numbers. Journal of integer sequences, Tome 13 (2010) no. 3. http://geodesic.mathdoc.fr/item/JIS_2010__13_3_a3/