On the Diophantine equation X^{2N} + 2^{2 alpha} 5^{2 beta} p^{2 gamma} = Z^5

Eva G. Goedhart; Helen G. Grundman

arxiv: 1409.2463 · v1 · pith:B65NGRZWnew · submitted 2014-09-08 · 🧮 math.NT

On the Diophantine equation X^(2N) + 2^(2 alpha) 5^(2 beta) p^(2 gamma) = Z⁵

Eva G. Goedhart , Helen G. Grundman This is my paper

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We prove that for each odd prime p, positive integer alpha, and non-negative integers beta and gamma, the Diophantine equation X^{2N} + 2^{2 alpha} 5^{2 beta} p^{2 gamma} = Z^5 has no solution with X, Z, N in Z^+, N > 1, and gcd(X,Z) = 1.

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On the Diophantine equation X^(2N) + 2^(2 alpha) 5^(2 beta) p^(2 gamma) = Z⁵

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