On the exponential Diophantine equation P-x<SUB>n</SUB>+P-x<SUB>n+1</SUB>=P<SUB>m</SUB>

Rihane, SE; Faye, B; Luca, F; Togbe, A

Rihane, SE (reprint author), Univ Sci & Technol Houari Boumediene, Lab Algebra & Number Theory, Fac Math, Algiers, Algeria.; Rihane, SE (reprint author), Univ Ctr Mila, Dept Math & Comp Sci, Mila, Algeria.

TURKISH JOURNAL OF MATHEMATICS, 2019; 43 (3): 1640

Abstract

In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables (m, n, x), where P-k is the kth term of th......

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