# Great problem!

• June 23rd 2013, 11:00 AM
Great problem!
Prove that the equation x^2 - y^10 + z^5=6 has no integer* solutions. Try to find a solution!
*integer(negative, positive)
• June 28th 2013, 04:13 PM
Phantasma
Re: Great problem!
Quote:

$x^2+z^5-6 = (y^5)^2$ looks suspiciously like the relation from Fermat's Last Theorem. Let's start there.