Primes between consecutive powers

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Primes between consecutive powers

Cully-Hugill, Michaela

Journal of number theory, June 2023, 2023-06-00, Volume: 247

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This paper updates the explicit interval estimate for primes between consecutive powers. It is shown that there is least one prime between n155 and (n+1)155 for all n≥1. This result is in part obtained with a new explicit version of Goldston's 1983 estimate for the error in the truncated Riemann–von Mangoldt explicit formula.

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