On triplets with descending largest prime factors

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2001Publisher:Akademiai Kiado Zrt.Journal:Studia Scientiarum Mathematicarum Hungarica, volume 38, pages 45-50 (issn: 0081-6906, eissn: 1588-2896,

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Authors: Balog, A.;

doi: 10.1556/sscmath.38.2001.1-4.3

On triplets with descending largest prime factors

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Abstract

For an integer n≯1 letP(n) be the largest prime factor of n. We prove that there are infinitely many triplets of consecutive integers with descending largest prime factors, that is P(n - 1) ≯P(n)≯P(n+1) occurs for infinitely many integers n.

Related Organizations

University of Szeged
Hungary

Keywords

primes, smooth numbers, large prime factors, Primes

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