The Diophantine Equation x 4 + 2 y 4 = z 4 + 4 w 4 — a number of improvements
نویسنده
چکیده
The quadruple (1 484 801, 1 203 120, 1 169 407, 1 157 520) already known is essentially the only non-trivial solution of the Diophantine equation x4 + 2y4 = z4 + 4w4 for |x|, |y|, |z|, and |w| up to one hundred million. We describe the algorithm we used in order to establish this result, thereby explaining a number of improvements to our original approach [EJ].
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