Computing $π(x)$ Analytically

Details Computing $π(x)$ Analytically Computing $π(x)$ Analytically

2012-03-26

arxiv.org/abs/1203.5712v1

Mathematics

Number Theory

15 Pages, 2 Figures

Scientific paper

We describe a rigorous implementation of the Lagarias and Odlyzko Analytic
Method to evaluate the prime counting function and its use to compute
unconditionally the number of primes less than $10^{24}$.

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