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Compute the number of ordered triples of integers (xy,z) 1 <= x, y, z <= 1999 which satisfy:

x^2 + xy + y^2 = y^3 - x^3 and yz + 1 = y^2 + z.

 Nov 29, 2020
 #1
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There are 4027 triples of integers.

 Dec 12, 2020

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