MathDB
Number theory ()

Source: JTST-2014

October 8, 2016
algebranumber theory

Problem Statement

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).
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