Eva G. Goedhart, Helen G. Grundman
Published 2014-09-08Version 1
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.
A family of diophantine equations of the form x^4 +2nx^2y^2+my^4=z^2 with no solutions in (Z+)^3
On The Solutions of The Equation (4^n)^x+p^y=z^2
On the Diophantine equation cy^l=(x^p-1)/(x-1)
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