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Common divisors of a,b anda 2a+3b

Source: Turkey Junior Math Olympiad 2018 #1 question

January 6, 2019
TurkeyDivisorsnumber theory

Problem Statement

Let s(n)s(n) be the number of positive integer divisors of nn. Find the all positive values of kk that is providing k=s(a)=s(b)=s(2a+3b)k=s(a)=s(b)=s(2a+3b).
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