On the Diophantine equation $2^ n+px^ 2=y^ p$
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- by Mao Hua Le PDF
- Proc. Amer. Math. Soc. 123 (1995), 321-326 Request permission
Abstract:
Let p be a prime with $p > 3$. In this paper we prove that: (i) the equation ${2^n} + p{x^2} = {y^p}$ has no positive integer solution (x, y, n) with $\gcd (x,y) = 1$; (ii) if $p \nequiv 7 \pmod 8$, then the equation has no positive integer solution (x, y, n).References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 321-326
- MSC: Primary 11D61; Secondary 11J86
- DOI: https://doi.org/10.1090/S0002-9939-1995-1215203-4
- MathSciNet review: 1215203