A162455 - OEIS

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A162455

Primes of the form (n!)^2 + (n!) + 1.

3, 7, 43, 601, 519121 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`a(6) is associated with 76!=A000142(76)=A051856(7)! and has 223 decimal digits. [R. J. Mathar, Emeric Deutsch and Harvey P. Dale, Jul 14 2009]` `a(6) =` `355509027001074785420251313577077264819432566692554164797700525028005\` `008417722668844213916658906516439209129303887999464691915088148300993\` `913093163021697465163231343499013584682565554967153792311772997222400\` `0000000000000001. [N. J. A. Sloane, Jul 11 2010]`
	LINKS	`Table of n, a(n) for n=1..5.`
	FORMULA	`a(n) = A002061(A000142(A051856(n+1))+1). [From R. J. Mathar, Jul 14 2009]`
	MAPLE	`a := proc (n) if isprime(factorial(n)^2+factorial(n)+1) = true then factorial(n)^2+factorial(n)+1 else end if end proc: seq(a(n), n = 1 .. 76); [From Emeric Deutsch, Jul 21 2009]`
	MATHEMATICA	`Select[Table[n!^2+n!+1, {n, 150}], PrimeQ] [From Harvey P. Dale, Jul 23 2009]`
	CROSSREFS	`Sequence in context: A074268 A019026 A181729 * A143684 A156893 A050639` `Adjacent sequences: A162452 A162453 A162454 * A162456 A162457 A162458`
	KEYWORD	`nonn`
	AUTHOR	`Daniel Tisdale, Jul 03 2009`
	STATUS	`approved`

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Last modified May 25 00:25 EDT 2013. Contains 225631 sequences.