A296935 Rational primes that decompose in the field Q(sqrt(11)).

5, 7, 19, 37, 43, 53, 79, 83, 89, 97, 107, 113, 127, 131, 137, 139, 151, 157, 167, 181, 211, 227, 229, 239, 257, 263, 269, 271, 283, 307, 313, 317, 347, 353, 359, 389, 397, 401, 421, 431, 433, 439, 449, 479, 491, 503, 509, 521, 523, 547, 563, 571, 577, 607

Offset: 1

Author

N. J. A. Sloane, Dec 26 2017

Keywords

• nonn
• easy

Links

• Robert Price, Table of n, a(n) for n = 1..9973
• Index to sequences related to decomposition of primes in quadratic fields.

Crossrefs

Cf. A296936, A038881, A038882.

Programs

Maple

Load the Maple program HH given in A296920. Then run HH(11, 200); This produces A296935, A296936, A038881, A038882.

Mathematica

Select[Prime[Range[120]], KroneckerSymbol[11, #] == 1 &] (* Amiram Eldar, Dec 24 2023 *)

PARI

list(lim)=my(v=List()); forprime(p=5,lim, if(kronecker(11,p)==1, listput(v,p))); Vec(v) \\ Charles R Greathouse IV, Mar 18 2018