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The Generalised Fermat Equation x^2 + y^3 = z^15

Published 17 Sep 2013 in math.NT | (1309.4421v2)

Abstract: We determine the set of primitive integral solutions to the generalised Fermat equation x2 + y3 = z15. 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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