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Formalization of the prime number theorem and Dirichlet's theorem (1608.02029v1)

Published 5 Aug 2016 in math.LO

Abstract: We present the formalization of Dirichlet's theorem on the infinitude of primes in arithmetic progressions, and Selberg's elementary proof of the prime number theorem, which asserts that the number $\pi(x)$ of primes less than $x$ is asymptotic to $x/\log x$, within the proof system Metamath.

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