MathDB

10

Part of 1995 Poland - First Round

Problems(1)

x^x = y^3 + z^3 diophantine

Source: Poland Math Olympiad 1995 Round 1 #10

7/18/2023
Prove that the equation xx=y3+z3x^x = y^3+z^3 has infinitely many solutions in positive integers x,y,zx,y,z.