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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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The first occurrence of certain large prime gaps
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by Richard P. Brent PDF
Math. Comp. 35 (1980), 1435-1436 Request permission

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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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 35 (1980), 1435-1436
  • MSC: Primary 10-04; Secondary 10A25, 65A05
  • DOI: https://doi.org/10.1090/S0025-5718-1980-0583521-6
  • MathSciNet review: 583521