A296930 Inert rational primes in the field Q(sqrt(-17)).

5, 19, 29, 37, 41, 43, 47, 59, 61, 67, 73, 83, 97, 103, 109, 113, 127, 151, 173, 179, 181, 191, 193, 197, 223, 233, 239, 241, 251, 263, 269, 271, 277, 307, 313, 317, 331, 337, 359, 383, 397, 401, 443, 449, 463, 467, 491, 521, 523, 541, 563, 587, 599, 601, 617, 631

Offset: 1

Author

N. J. A. Sloane, Dec 26 2017

Keywords

• nonn
• easy

Comments

Primes that are congruent to 5, 15, 19, 29, 35, 37, 41, 43, 45, 47, 55, 57, 59, 61, 65, or 67 mod 68. - Amiram Eldar, Nov 17 2023

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• Index to sequences related to decomposition of primes in quadratic fields.

Crossrefs

Cf. A296920, A296929, A296931.

Programs

Maple

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

Mathematica

Select[Prime[Range[115]], KroneckerSymbol[-17, #] == -1 &] (* Amiram Eldar, Nov 17 2023 *)