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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.

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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