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between 10k and 10k + 100 there are not more than 23 primes

Source: Germany Federal - Bundeswettbewerb Mathematik 2019 round 2, p4

April 16, 2020
number theoryprimes

Problem Statement

Prove that for no integer k≥2k \ge 2, between 10k10k and 10k+10010k + 100 there are more than 2323 prime numbers.
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