Integers divisible by sums of powers of their prime factors |
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| Authors: | Jean-Marie De Koninck Florian Luca |
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| Affiliation: | a Département de Mathématiques, Université Laval, Québec G1K 7P4, Canada
b Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ap. Postal 61-3 (Xangari), C.P. 58089, Morelia, Michoacán, Mexico |
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| Abstract: | For each positive integer j, let βj(n):=∑p|npj. Given a fixed positive integer k, we show that there are infinitely many positive integers n having at least two distinct prime factors and such that βj(n)|n for each j∈{1,2,…,k}. |
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