A296929 Rational primes that decompose in the field Q(sqrt(-17)).

3, 7, 11, 13, 23, 31, 53, 71, 79, 89, 101, 107, 131, 137, 139, 149, 157, 163, 167, 199, 211, 227, 229, 257, 281, 283, 293, 311, 347, 349, 353, 367, 373, 379, 389, 409, 419, 421, 431, 433, 439, 457, 461, 479, 487, 499, 503, 509, 547, 557, 569, 571, 577, 593, 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..9978
• Index to sequences related to decomposition of primes in quadratic fields

Programs

Maple

Load the Maple program HH given in A296920. Then run HH(-17, 200); This produces A296929, A296930, A296931.

PARI

list(lim)=my(v=List()); forprime(p=5,lim, if(kronecker(-17,p)==1, listput(v,p))); Vec(v) \\ Charles R Greathouse IV, Mar 18 2018

Formula

Primes == {1, 3, 7, 9, 11, 13, 21, 23, 25, 27, 31, 33, 39, 49, 53, 63} (mod 68). - Travis Scott, Jan 05 2023