MathDB
2007 Guts #24: How Many Ordered Triples

Source:

June 22, 2012

Problem Statement

Let x,y,nx,y,n be positive integers with n>1n>1. How many ordered triples (x,y,n)(x, y, n) of solutions are there to the equation xnāˆ’yn=2100x^n-y^n=2^{100}?