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

Author

Eric Chen, Dec 24 2014

Keywords

• nonn

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

Crossrefs

See A250177 for references.

Programs

Magma

[n: n in [1..1000]| IsPrime((n^11+1) div (n+1))]; // Vincenzo Librandi, May 21 2018

Mathematica

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

PARI

isok(n) = isprime(polcyclo(22, n)); \\ Michel Marcus, Sep 29 2015