← RoseCode

ROSECODE 177

How many solutions

Philippe_57721 · Math ·

Consider the diophantine equation x^2+3*y^2 = z^2 (0 < x,y,z and coprime)

How many solutions are there with z <= 1E9?

You are given :
  • 276 solution for z < 1000
  • 2767 solution for z < 10000
  • 27574 solution for z < 100000

Answer format: the count

[My timing: 120 sec]