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7^a = 4^b + 5^c + 6^d , diophantine

Source: Indian Postal Coaching 2009 set 5 p2

May 26, 2020
diophantinenumber theoryDiophantine equation

Problem Statement

Find all non-negative integers a,b,c,da, b, c, d such that 7a=4b+5c+6d7^a = 4^b + 5^c + 6^d