

A090686


Primes of the form 6n^2  1.


13



5, 23, 53, 149, 293, 383, 599, 863, 1013, 1733, 2399, 2903, 4373, 4703, 5399, 6143, 7349, 8663, 11093, 12149, 16223, 18149, 20183, 21599, 23063, 23813, 25349, 27743, 29399, 31973, 33749, 35573, 40343, 41333, 45413, 51893, 56453, 59999, 62423
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OFFSET

1,1


COMMENTS

Subset of A007528. The values of n for which 6*n^2  1 is prime are 1, 2, 3, 5, 7, 8, 10, 12, 13, 17, 20, 22, 27, 28, 30, 32, 35, 38, 43, 45, 52, 55, 58, 60, 62, 63, 65, 68, 70, 73, 75, 77, 82, 83, 87, 93, 97, 100, ...  Jonathan Vos Post, Aug 27 2006


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000


MATHEMATICA

lst={}; Do[p=6*n^21; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 3*5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 27 2009 *)
Select[Table[6n^21, {n, 0, 700}], PrimeQ] (* Vincenzo Librandi, Dec 05 2011 *)


PROG

(PARI) mx2pmp(n) = { for(x=1, n, y = 6*x^21; if(isprime(y), print1(y", ")) ) }
(MAGMA) [a: n in [0..500]  IsPrime(a) where a is 6*n^21]; // Vincenzo Librandi, Dec 05 2011


CROSSREFS

Cf. A000040, A007528, A090687.
Sequence in context: A140811 A247657 A241099 * A082277 A289154 A155851
Adjacent sequences: A090683 A090684 A090685 * A090687 A090688 A090689


KEYWORD

easy,nonn


AUTHOR

Cino Hilliard, Dec 18 2003


EXTENSIONS

Edited by N. J. A. Sloane at the suggestion of R. J. Mathar, Apr 14 2008


STATUS

approved



