MathDB

2

Part of 2014 Serbia JBMO TST

Problems(1)

Number theory ()

Source: JTST-2014

10/8/2016
Let a,b,c,da,b,c,d be the natural numbers such that 2a+4b+5c=2014d.2^a+4^b+5^c=2014^d. Find all (a,b,c,d).(a,b,c,d).
algebranumber theory