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AFRICAN RESEARCH NEXUS

SHINING A SPOTLIGHT ON AFRICAN RESEARCH

mathematics

On perfect powers that are sums of two Pell numbers

Periodica Mathematica Hungarica, Volume 82, No. 1, Year 2021

Let Pk denote the kth term of the Pell sequence. In this paper we find all solutions of the exponential Diophantine equation Pn+ Pm= ys in positive integer variables (m, n, y, s) under the assumption n≡m(mod2).
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