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Problem 5 of Finals - Product of primitive roots

Source: VI International Festival of Young Mathematicians Sozopol, Theme for 10-12 grade

January 11, 2020
number theoryPrimitive Roots

Problem Statement

Let p>3p>3 be a prime number. Prove that the product of all primitive roots between 1 and pāˆ’1p-1 is congruent 1 modulo pp.
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