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4

Part of 2018 Balkan MO

Problems(1)

Balkan Mathematical Olympiad 2018 P4

Source: BMO 2018

5/9/2018
Find all primes pp and qq such that 3pqāˆ’1+13p^{q-1}+1 divides 11p+17p11^p+17^p
Proposed by Stanislav Dimitrov,Bulgaria
number theory