|
Search: id:A002982
|
|
|
| A002982 |
|
Numbers n such that n! - 1 is prime. (Formerly M2321)
|
|
+0 30
|
|
| 3, 4, 6, 7, 12, 14, 30, 32, 33, 38, 94, 166, 324, 379, 469, 546, 974, 1963, 3507, 3610, 6917, 21480, 34790
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
A. Borning, Some results for k!+-1 and 2.3.5...p+-1, Math. Comp., 26 (1972), 567-570.
J. P. Buhler et al., Primes of the form n!+-1 and 2.3.5....p+-1, Math. Comp., 38 (1982), 639-643.
C. K. Caldwell and Y. Gallot, On the primality of n!+-1 and 2*3*5*...*p+-1, Math. Comp., 71 (2001), 441-448.
R. K. Guy, Unsolved Problems in Number Theory, Section A2.
|
|
LINKS
|
Author?, Title?
C. K. Caldwell, The Prime Pages
C. K. Caldwell, Primorial factorial numbers
P. Carmody, Factorial Prime Search Progress Pages
R. Ondrejka, The Top Ten: a Catalogue of Primal Configurations
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics (1).
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics (2).
Eric Weisstein's World of Mathematics, Integer Sequence Primes
Index entries for sequences related to factorial numbers
The prime 34790!-1 was discovered by Leon Marchal on May 16, 2002. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 18 2002
|
|
MATHEMATICA
|
Select[Range[10^3], PrimeQ[ #!-1] &] (from Vladimir Orlovsky (4vladimir(AT)gmail.com), May 01 2008)
|
|
CROSSREFS
|
Cf. A002981 (primes of form n!+1).
Sequence in context: A060965 A033162 A105133 this_sequence A093707 A058639 A139450
Adjacent sequences: A002979 A002980 A002981 this_sequence A002983 A002984 A002985
|
|
KEYWORD
|
hard,nonn,nice
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
21480 sent in by Ken Davis (ken.davis(AT)softwareag.com), Oct 29 2001
Updated Feb 26 2007 by Max Alekseyev, based on progress reported in the Carmody web site.
|
|
|
Search completed in 0.002 seconds
|