Factorizations of an
+ 1, 13 < a < 100
134. R. P. Brent and H. J. J. te Riele,
Factorizations of an
+ 1, 13 < a < 100,
Report NM-R9212, Centrum voor Wiskunde en Informatica, Amsterdam,
June 1992, v+363 pp.
Also (with P. L. Montgomery)
Update 1 (September 1994) and
Update 2 (March 1996).
Abstract:
dvi (3K),
pdf (84K),
ps (29K).
Report (June 1992):
Introduction (5 pp):
dvi (8K),
pdf (84K),
ps (42K).
Tables (363 pp):
pdf (575K),
ps (389K),
txt (338K).
Update 1 (September 1994):
Introduction (4 pp):
dvi (8K),
ps (43K).
Introduction and Tables (vi+42 pp):
pdf (226K).
Tables only (42 pp):
txt (42K).
Update 2 (March 1996):
Introduction (8 pp):
dvi (17K),
ps (73K).
Introduction and Tables (x+42 pp):
pdf (331K).
Tables only (42 pp): txt (41K).
Update 3 (December 2000): see [200].
Abstract
As an extension of the
Cunningham tables
we present tables of factorizations of
an
+ 1, 13 < a < 100.
The exponents n satisfy
an < 10255
if a < 30, and
n < 100 if a > 30.
The factorizations are complete for n < 46,
and the tables contain no composite numbers smaller than
1080. These bounds are improved in the updates.
Comments
The factors and updates are available
in machine-readable form: see Brent [117]
and here.
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