A296935 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Robert Price, Table of n, a(n) for n = 1..9973

Index to sequences related to decomposition of primes in quadratic fields.

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 *)

PROG

(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