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arxiv: 1309.4421 · v2 · pith:QVSEC2HKnew · submitted 2013-09-17 · 🧮 math.NT

The Generalised Fermat Equation x² + y³ = z¹5

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keywords equationfermatgeneralisedsolutionsdetermineexpectedintegralnon-trivial
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We determine the set of primitive integral solutions to the generalised Fermat equation x^2 + y^3 = z^15. As expected, the only solutions are the trivial ones with xyz = 0 and the non-trivial pair (x,y,z) = (+-3, -2, 1).

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