MathDB

N2

Part of 2007 Balkan MO Shortlist

Problems(1)

Bulgaria TST, IMO 2007- 1-st test, problem 3

Source:

11/12/2011
Prove that there are no distinct positive integers xx and yy such that
x2007+y!=y2007+x!x^{2007} + y! = y^{2007} + x!
functionnumber theory proposednumber theory