Abstract: Let be the greatest prime factor of the integer n, and let a, b be fixed positive integers. In this note, we will show by elementary means that and Moreover, we use a Maple experiment to analyze the distribution of the values in detailed tally counts. The experiment suggests that with a high probability, is either significantly larger or significantly smaller than |
Keywords and phrases: primes, greatest prime factor, distribution of primes.
Received: May 17, 2021; Accepted: June 24, 2021; Published: August 21, 2021
How to cite this article: Mihai Caragiu, An elementary note on the greatest prime factors of linearly related integers, JP Journal of Algebra, Number Theory and Applications 52(1) (2021), 95-100. DOI: 10.17654/NT052010095
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
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