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A093437 a(n) = largest prime of the form n!/k! +1. 2
2, 2, 3, 7, 13, 61, 31, 2521, 20161, 15121, 604801, 39916801, 3991681, 3113510401, 14529715201, 54486432001, 10461394944001, 59281238016001, 53353114214401, 2, 670442572801, 8515157028618240001, 9366672731480064001 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

LINKS

Dario Alpern, Factorization using the Elliptic Curve Method.

EXAMPLE

a(7)=2521 because 7!/2!+1=2521 is prime, whereas 7!/1!+1=5041=71^2 is composite,

a(19)=2 because the only prime of the form 19!/k!+1 is 19!/19!+1=2.

CROSSREFS

Cf. A093621 smallest k>0 such that n!/k!+1 is prime, A002981 n!+1 is prime, A088332 primes of form n!+1.

Sequence in context: A068524 A184841 A109277 * A060357 A064714 A152255

Adjacent sequences:  A093434 A093435 A093436 * A093438 A093439 A093440

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 01 2004

EXTENSIONS

Corrected and extended by Hugo Pfoertner (hugo(AT)pfoertner.org), Apr 06 2004

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Last modified February 16 09:00 EST 2012. Contains 205904 sequences.