A p-adic look at the Diophantine equation x^{2}+11^{2k}=y^{n}

preprint2011arXivOpen access

Abstract

We find all solutions of Diophantine equation x^{2}+11^{2k} = y^{n} where x>=1, y>=1, n>=3 and k is natural number. We give p-adic interpretation of this equation.

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