Abstract
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 one (x, y, z) = (± 3, −2, 1).
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The first-named author is supported by an EPSRC Leadership Fellowship.
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Siksek, S., Stoll, M. The generalised Fermat equation x 2 + y 3 = z 15 . Arch. Math. 102, 411–421 (2014). https://doi.org/10.1007/s00013-014-0639-z
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DOI: https://doi.org/10.1007/s00013-014-0639-z