Journal of Integer Sequences, Vol. 21 (2018), Article 18.9.3

Consecutive Integers Divisible by a Power of their Largest Prime Factor


Jean-Marie De Koninck
Dép. de mathématiques et de statistique
Université Laval
Québec, G1V 0A6
Canada

Matthieu Moineau
École des mines de Nancy
Université de Lorraine
54042 Nancy Cedex
France

Abstract:

We construct families of consecutive polynomials with integer coefficients that allow for the discovery of consecutive integers divisible by a power of their largest prime factor.

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Received June 6 2018; revised version received October 15 2018. Published in Journal of Integer Sequences, December 6 2018.

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