599 citations
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Showing 2021 · math.NTShow all
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math.NT2021★ 13 cited
Primes between consecutive powers
Michaela Cully-Hugill
This paper updates the explicit interval estimate for primes between consecutive powers. It is shown that there is least one prime between and for all $n\ge…
math.NT2021★ 6 cited
Explicit Interval Estimates for Prime Numbers
Michaela Cully-Hugill, Ethan S. Lee
Using a smoothing function and recent knowledge on the zeros of the Riemann zeta-function, we compute pairs of such that for all there exists at least one pr…