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Solutions of the Diophantine Equation x3 y3 z3 = k Solutions of the Diophantine Equation x 3 y 3 zThe diophantine equation (1) x3 y3 z3 = nxyz has only trivial solutions for three (probably) infinite sets of nvalues and some other nvalues (7, Chs 10, 15, 3, 2) The main set is characterized by n2 3n 9 is a prime number, n−3 contains no prime factor ≡1 (mod 3) and n6= −1,5 Conversely, equation (1) is known to have · In the equation (w^3 x^3 y^3 = z^3) , w^3, x^3, y^3, and z^3 are distinct consecutive positive perfect cubes listed in ascending order What is the smallest possible value of z? I Need An Example For This Formula X3 Y3 Z3 3xyz Brainly In X^3+y^3+z^3 formula