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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



A note on sums of four cubes

Authors: M. Lal, W. Russell and W. J. Blundon
Journal: Math. Comp. 23 (1969), 423-424
MSC: Primary 10.12
MathSciNet review: 0245513
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Abstract: A search for the integral solutions of the Diophantine equation $ {x^3} + {y^3} + 2{z^3} = k$ for $ \vert x\vert$ $ \vert y\vert$ and $ \vert z\vert < {10^5}$ was made on an I.B.M. 1620 Model 1. These results showed that there are now just 19 values of $ k$ in the range $ 1 \leqq k \leqq 999$ for which no solution is known.

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Article copyright: © Copyright 1969 American Mathematical Society

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