System of nonlinear Diophantine equations

Question:System of nonlinear Diophantine equations

Posted: Alfred_F 550 Product: Maple 2026

4 hours ago

For quite some time, I have wanted to solve the system attached in "test" using Maple. The smallest solution in natural numbers x, y, and z test.mw

(1)

(2)

$isolve({x*y*z = w^2, x+y+z = u^2, x*y+x*z+y*z = v^2})$

${u = _Z1, v = 0, w = 0, x = _Z1^2, y = 0, z = 0}$

(3)

${u = _Z1, v = 0, w = 0, x = _Z1^2, y = 0, z = 0}$

(4)

is known, and all these numbers are less than 4 × 10¹². Is this possible in Maple?

(x=1633780814400; y=252782198228; z=3474741058973)

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