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A088054 Factorial primes: primes which are within 1 of a factorial number. +0
2
2, 3, 5, 7, 23, 719, 5039, 39916801, 479001599, 87178291199, 10888869450418352160768000001, 265252859812191058636308479999999, 263130836933693530167218012159999999, 8683317618811886495518194401279999999 (list; graph; listen)
OFFSET

1,1

COMMENT

Conjecture: 3 is the intersection of A002981 and A002982).

LINKS

Wikipedia, Factorial prime.

EXAMPLE

3!+1=7; 7!-1=5039

39916801 is a term because 11!+1 is prime.

MATHEMATICA

t = {}; Do[ If[PrimeQ[n! - 1], AppendTo[t, n! - 1]]; If[PrimeQ[n! + 1], AppendTo[t, n! + 1]], {n, 50}]; t (* Robert G. Wilson v *)

Union[Select[Range[50]!-1, PrimeQ], Select[Range[50]!+1, PrimeQ]] (Noe)

CROSSREFS

Cf. A000142, A002981, A002982.

Union of A055490 and A088332.

Sequence in context: A062088 A070029 A110094 this_sequence A085907 A024777 A002957

Adjacent sequences: A088051 A088052 A088053 this_sequence A088055 A088056 A088057

KEYWORD

easy,nice,nonn

AUTHOR

Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Nov 02 2003

EXTENSIONS

Corrected by Paul Muljadi (paulmuljadi(AT)yahoo.com), Oct 11 2005

More terms from Robert G. Wilson v (rgwv(at)rgwv.com) and T. D. Noe (noe(AT)sspectra.com), Oct 12 2005

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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