Displaying similar documents to “On a class of Diophantine equations.”

On the diophantine equation w+x+y = z, with wxyz = 2 3 5.

L. J. Alex, L. L. Foster (1995)

Revista Matemática de la Universidad Complutense de Madrid

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In this paper we complete the solution to the equation w+x+y = z, where w, x, y, and z are positive integers and wxyz has the form 2 3 5, with r, s, and t non negative integers. Here we consider the case 1 < w ≤ x ≤ y, the remaining case having been dealt with in our paper: On the Diophantine equation 1+ X + Y = Z, This work extends earlier work of the authors in the field of exponential Diophantine equations.

Tribonacci modulo p t

Jiří Klaška (2008)

Mathematica Bohemica

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Our research was inspired by the relations between the primitive periods of sequences obtained by reducing Tribonacci sequence by a given prime modulus p and by its powers p t , which were deduced by M. E. Waddill. In this paper we derive similar results for the case of a Tribonacci sequence that starts with an arbitrary triple of integers.