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q \ p^2-1, p \ q^2-1, where p,q primes >3

Source: Tuymaada 2000 Juniors 5

April 28, 2019
number theoryprimesdivisible

Problem Statement

Are there prime pp and qq larger than 33, such that p2−1p^2-1 is divisible by qq and q2−1q^2-1 divided by pp?
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