MathDB

N3

Part of 2013 Balkan MO Shortlist

Problems(1)

12^x + 13^y - 14^z = 2013^t diophantine in positive integers

Source: Balkan MO Shortlist 2013 N3 BMO

3/9/2020
Determine all quadruplets (x,y,z,tx, y, z, t) of positive integers, such that 12x+13yāˆ’14z=2013t12^x + 13^y - 14^z = 2013^t.
Diophantine equationdiophantinenumber theory