ROSECODE 492

High degree Diophantine equation

Philippe_57721 · Math · 2018-06-15

How many triples

(x, y, z)

with

x < y < z \leq 123456789

and

(x, y, z)

coprime are there such as:

(x^{4} + y^{4} + z^{4})^{2} = 2 \times (x^{8} + y^{8} + z^{8})

Answer format: count

[My timing: 3 sec ]