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Part of 1987 Bundeswettbewerb Mathematik

Problems(1)

Bundeswettbewerb Mathematik 1987 Problem 1.1

Source: Bundeswettbewerb mathematik 1987 Round 1

10/7/2022
Let p>3p>3 be a prime and nn a positive integer such that pnp^n has 2020 digits. Prove that at least one digit appears more than twice in this number.
number theoryDigitprimePower