A027830 - OEIS

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A027830

Numbers n such that n + (n+1)^2 + (n+2)^3 + (n+3)^4 + (n+4)^5 is prime.

1, 7, 11, 25, 35, 43, 45, 47, 51, 53, 57, 63, 65, 81, 91, 103, 113, 117, 121, 143, 149, 169, 173, 191, 193, 199, 201, 211, 213, 225, 235, 247, 253, 255, 263, 269, 299, 331, 333, 355, 357, 359, 373, 385, 387, 395, 399, 403, 411, 445, 453, 495, 519, 537, 579, 599 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`Numbers n such that A027622(n) is prime.`
	LINKS	`P. De Geest, Palindromic Quasi_Under_Squares of the form n+(n+1)^2`
	EXAMPLE	`n=1: n + (n+1)^2 + (n+2)^3 + (n+3)^4 + (n+4)^5=3413=A027886(1),` `n=7: n + (n+1)^2 + (n+2)^3 + (n+3)^4 + (n+4)^5=171851=A027886(2),` `n=11: n + (n+1)^2 + (n+2)^3 + (n+3)^4 + (n+4)^5=800143=A027886(3).`
	PROG	`(MAGMA) [n: n in [0..1000] \|IsPrime(n+(n+1)^2+(n+2)^3+(n+3)^4+(n+4)^5)] [From Vincenzo Librandi, Nov 20 2010]`
	CROSSREFS	`Cf. A027622, A027886.` `Sequence in context: A181841 A076855 A160054 * A134043 A102373 A002643` `Adjacent sequences: A027827 A027828 A027829 * A027831 A027832 A027833`
	KEYWORD	`nonn`
	AUTHOR	`Patrick De Geest (pdg(AT)worldofnumbers.com)`
	EXTENSIONS	`Edited by N. J. A. Sloane (njas(AT)research.att.com), May 21 2008 at the suggestion of R. J. Mathar`

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Last modified February 12 16:35 EST 2012. Contains 205432 sequences.