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Mathematics of Computation

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The first occurrence of certain large prime gaps

Author: Richard P. Brent
Journal: Math. Comp. 35 (1980), 1435-1436
MSC: Primary 10-04; Secondary 10A25, 65A05
MathSciNet review: 583521
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Abstract: The first occurrence of a string of $2r - 1$ consecutive composite numbers between two primes (denoted by $f(r)$ and $f(r) + 2r$) is tabulated for $f(r)$ in the range $2.6 \times {10^{12}} < f(r) \leqslant 4.444 \times {10^{12}}$. This extends earlier computations in the range $f(r) \leqslant 2.6 \times {10^{12}}$.

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Keywords: Distribution of primes, prime gap, maximal prime gap, successive composites, consecutive primes
Article copyright: © Copyright 1980 American Mathematical Society