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 | References | Similar Articles | Additional Information

Abstract: The first occurrence of a string of consecutive composite numbers between two primes (denoted by and ) is tabulated for in the range . This extends earlier computations in the range .

**[1]**Richard P. Brent,*The first occurrence of large gaps between successive primes*, Math. Comp.**27**(1973), 959–963. MR**0330021**, 10.1090/S0025-5718-1973-0330021-0**[2]**L. J. Lander and T. R. Parkin,*On first appearance of prime differences*, Math. Comp.**21**(1967), 483–488. MR**0230677**, 10.1090/S0025-5718-1967-0230677-4**[3]**Daniel Shanks,*On maximal gaps between successive primes*, Math. Comp.**18**(1964), 646–651. MR**0167472**, 10.1090/S0025-5718-1964-0167472-8

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0025-5718-1980-0583521-6

Keywords:
Distribution of primes,
prime gap,
maximal prime gap,
successive composites,
consecutive primes

Article copyright:
© Copyright 1980
American Mathematical Society