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; internal format)

	OFFSET	`1,1`
	COMMENTS	`a(6) is associated with 76!=A000142(76)=A051856(7)! and has 223 decimal digits. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Emeric Deutsch (deutsch(AT)duke.poly.edu) and Harvey P. Dale (hpd1(AT)nyu.edu), Jul 14 2009]` `a(6)35550902700107478542025131357707726481943256669255416479770052502800\` `500841772266884421391665890651643920912930388799946469191508814830099391\` `309316302169746516323134349901358468256555496715379231177299722240000000\` `00000000001.`
	FORMULA	`a(n) = A002061(A000142(A051856(n+1))+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 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 (deutsch(AT)duke.poly.edu), Jul 21 2009]`
	MATHEMATICA	`Select[Table[n!^2+n!+1, {n, 150}], PrimeQ] [From Harvey P. Dale (hpd1(AT)nyu.edu), Jul 23 2009]`
	CROSSREFS	`Sequence in context: A019026 A096843 A181729 * A143684 A156893 A050639` `Adjacent sequences: A162452 A162453 A162454 * A162456 A162457 A162458`
	KEYWORD	`nonn`
	AUTHOR	`Daniel Tisdale (daniel6874(AT)gmail.com), Jul 03 2009`

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Last modified February 17 10:57 EST 2012. Contains 206009 sequences.