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arXiv · 2103.05986

Explicit Interval Estimates for Prime Numbers

Michaela Cully-Hugill·Ethan S. Lee
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Abstract

Using a smoothing function and recent knowledge on the zeros of the Riemann zeta-function, we compute pairs of $(Δ,x_0)$ such that for all $x \geq x_0$ there exists at least one prime in the interval $(x(1 - Δ^{-1}), x]$.

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Michaela Cully-Hugill, Ethan S. Lee. 2022-09-14. Explicit Interval Estimates for Prime Numbers. https://doi.org/10.1090/mcom%2F3719

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