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Omni-MATH / Find all primes p and q such that 3p^(q−1)+1 divides 11^(p)+17^(p)

Problem

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problem

Find all primes pp and qq such that 3pq−1+13p^{q-1}+1 divides 11p+17p11^p+17^p
Plain-text mathematical notation (without MathML)
Find all primes p and q such that 3p^(q−1)+1 divides 11^(p)+17^(p)
Original LaTeX notation
Find all primes $p$ and $q$ such that $3p^{q-1}+1$ divides $11^p+17^p$

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