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Mathematics of Computation

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A note on the Diophantine equation $ x\sp{n}+y\sp{n}+z\sp{n}=3$

Authors: Manny Scarowsky and Abraham Boyarsky
Journal: Math. Comp. 42 (1984), 235-237
MSC: Primary 11D25; Secondary 11D41
MathSciNet review: 726000
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Abstract: In this note solutions for the Diophantine equation

$\displaystyle {x^3} + {y^3} + {z^3} = 3$

are sought along planes $ x + y + z = 3m$, $ m \in {\mathbf{Z}}$. This was done for $ \vert m\vert \leqslant 50000$, and no new solutions were found.

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Article copyright: © Copyright 1984 American Mathematical Society