## The First Occurrence of Large Gaps Between Successive Primes

19. R. P. Brent,
The first occurrence of large gaps between successive primes,
* Mathematics of Computation * 27 (1973), 959-963.
MR 48#8360.
Abstract:
dvi (2K),
pdf (68K),
ps (23K).

Paper:
pdf (365K).

## Abstract

A table of the first occurrence of a string of 2*r*-1 composite numbers
between two primes is given for
*r* = 158(1)267, 269, 270, 273, 275, 276, 281, 282, 291, 294
and 301.
All such strings between primes less than
2.6 × 10^{12} have been
accounted for. The computation supports some conjectures on the distribution
of these strings.
## Comment

For a sequel see Brent
[57].
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