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Problem 3 of Finals

Source: VII International Festival of Young Mathematicians Sozopol 2016, Theme for 10-12 grade

September 19, 2019
number theoryprime numbers

Problem Statement

Find the least natural number n≥5n\geq 5, for which xn≡16 (mod p)x^n\equiv 16\, (mod\, p) has a solution for any prime number pp.
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