A250178 Numbers k such that Phi_22(k) is prime, where Phi is the cyclotomic polynomial.

2, 6, 12, 13, 23, 24, 26, 35, 62, 69, 91, 105, 147, 160, 163, 183, 185, 193, 229, 232, 233, 236, 248, 262, 269, 280, 294, 303, 315, 330, 376, 394, 426, 430, 440, 464, 469, 491, 492, 508, 537, 625, 629, 647, 653, 666, 752, 772, 775, 786, 788, 832, 840, 852, 854, 855, 859, 905, 922, 972, 993, 998

Offset

1,1

Comments

Numbers k such that (k^11+1)/(k+1) is a prime. - Vincenzo Librandi, May 21 2018

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Mathematica

a250178[n_] := Select[Range[n], PrimeQ@Cyclotomic[22, #] &]; a250178[1000] (* Michael De Vlieger, Dec 25 2014 *)

Prog

(PARI) isok(n) = isprime(polcyclo(22, n)); \\ Michel Marcus, Sep 29 2015
(Magma) [n: n in [1..1000]| IsPrime((n^11+1) div (n+1))]; // Vincenzo Librandi, May 21 2018

Crossrefs

See A250177 for references.

Sequence in context: A152667 A145892 A216429 * A154712 A079849 A260907

Adjacent sequences: A250175 A250176 A250177 * A250179 A250180 A250181

Keyword

nonn

Author

Eric Chen, Dec 24 2014

Status

approved