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2015 Taiwan TST Round 1 Quiz 1 Problem 1

Source: 2015 Taiwan TST Round 1 Quiz 1 Problem 1

July 12, 2015
number theoryTaiwanTaiwan TST 2015BritishMathematicalOlympiad

Problem Statement

Find all primes p,q,rp,q,r such that qr−1qr-1 is divisible by pp, pr−1pr-1 is divisible by qq, pq−1pq-1 is divisible by rr.
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