On the Diophantine Equation 3x + p5y = z2
DOI:
https://doi.org/10.48048/wjst.2019.6933Keywords:
Exponential Diophantine equation, Catalan’s conjectureAbstract
In this paper, we present new series of solutions of the Diophantine equation 3x + p5y = z2 where p is a prime number and x; y and z are nonnegative integers using elementary techniques. Moreover, the equation has no solution if p is equivalent to 5 or 7 modulo 24.
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Copyright (c) 2019 Walailak Journal of Science and Technology (WJST)
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