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 $f(r) \leqslant 2.6 \times {10^{12}}$.References
- Richard P. Brent, The first occurrence of large gaps between successive primes, Math. Comp. 27 (1973), 959–963. MR 330021, DOI 10.1090/S0025-5718-1973-0330021-0
- L. J. Lander and T. R. Parkin, On first appearance of prime differences, Math. Comp. 21 (1967), 483–488. MR 230677, DOI 10.1090/S0025-5718-1967-0230677-4
- Daniel Shanks, On maximal gaps between successive primes, Math. Comp. 18 (1964), 646–651. MR 167472, DOI 10.1090/S0025-5718-1964-0167472-8
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