Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 2, Issue 2


Published
on

September 9, 2007


Pages

19-34


DOI

Article

COMMON PRIME FACTORS OF a^n - b AND c^n - d


Authors

Christian Ballot Affiliation:
Laboratoire Nicolas Oresme Universite de Caen F14032 Caen Cedex, France
and Florian Luca Affiliation:
Mathematical Institute, UNAM Juriquilla 76230 Santiago de Queretaro, Mexico and School of Mathematics University of the Witwatersrand P. O. Box Wits 2050 SOUTH AFRICA


Abstract

In this note, we study the set of primes such that the two congru- ences an ≡ b (mod p) and cn ≡ d (mod p) have a simultaneous solution n under some assumptions on the rationals a, b, c, d.


Keywords

Greatest common divisor, prime numbers, congruences.


Citation

Ballot, C. & Luca, F. (2007). COMMON PRIME FACTORS OF a^n - b AND c^n - d. Uniform Distribution Theory, 2(2), 19–34.

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