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3

Part of 2015 Bosnia Herzegovina Team Selection Test

Problems(1)

Prove that there exist infinitely many

Source: Bosnia and Herzegovina TST 2015 day 1 problem 3

5/16/2015
Prove that there exist infinitely many composite positive integers nn such that nn divides 3n−1−2n−13^{n-1}-2^{n-1}.
composite numbersnumber theoryinfinitely many solutionsDivisibility