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URL: https://oeis.org/A246397

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A246397
Numbers n such that Phi(12, n) is prime, where Phi is the cyclotomic polynomial.
8
2, 3, 4, 5, 9, 10, 12, 13, 17, 25, 27, 30, 31, 36, 38, 39, 43, 48, 52, 55, 56, 61, 62, 65, 83, 92, 94, 99, 100, 104, 105, 109, 114, 118, 126, 131, 166, 168, 169, 172, 183, 185, 190, 194, 196, 198, 209, 224, 225, 229, 231, 239, 244, 257, 260, 261, 263, 269, 270, 272, 278, 291, 296, 299, 300, 302, 308, 311
OFFSET
1,1
COMMENTS
Numbers n such that n^4-n^2+1 is prime, or numbers n such that A060886(n) is prime.
LINKS
MAPLE
A246397:=n->`if`(isprime(n^4-n^2+1), n, NULL): seq(A246397(n), n=1..300); # Wesley Ivan Hurt, Nov 14 2014
MATHEMATICA
Select[Range[350], PrimeQ[Cyclotomic[12, #]] &] (* Vincenzo Librandi, Jan 17 2015 *)
PROG
(PARI) for(n=1, 10^3, if(isprime(polcyclo(12, n)), print1(n, ", "))); \\ Joerg Arndt, Nov 13 2014
CROSSREFS
Cf. A008864 (1), A006093 (2), A002384 (3), A005574 (4), A049409 (5), A055494 (6), A100330 (7), A000068 (8), A153439 (9), A246392 (10), A162862 (11), this sequence (12), A217070 (13), A006314 (16), A217071 (17), A164989 (18), A217072 (19), A217073 (23), A153440 (27), A217074 (29), A217075 (31), A006313 (32), A097475 (36), A217076 (37), A217077 (41), A217078 (43), A217079 (47), A217080 (53), A217081 (59), A217082 (61), A006315 (64), A217083 (67), A217084 (71), A217085 (73), A217086 (79), A153441 (81), A217087 (83), A217088 (89), A217089 (97), A006316 (128), A153442 (243), A056994 (256), A056995 (512), A057465 (1024), A057002 (2048), A088361 (4096), A088362 (8192), A226528 (16384), A226529 (32768), A226530 (65536).
Sequence in context: A194410 A361125 A081869 * A015837 A262511 A075177
KEYWORD
nonn
AUTHOR
Eric Chen, Nov 13 2014
STATUS
approved