MathDB

6

Part of 2009 Junior Balkan Team Selection Tests - Moldova

Problems(1)

x^3-y^3=x-y+2^{x-y}

Source: Moldova JTST 2009

5/10/2023
Prove that there are no pairs of nonnegative integers (x,y)(x,y) that satisfy the equality x3−y3=x−y+2x−y.x^3-y^3=x-y+2^{x-y}.
number theory