MathDB

3

Part of 2003 Singapore MO Open

Problems(1)

x^2 + y^2 + p^z = 2003 diophantine

Source: Singapore Open Math Olympiad 2003 2nd Round p3 SMO

4/2/2020
For any given prime pp, determine whether the equation x2+y2+pz=2003x^2 + y^2 + p^z = 2003 always has integer solutions in x,y,zx, y, z. Justify your answer
diophantineDiophantine equationnumber theory