A296925 Inert rational primes in the field Q(sqrt(-10)).

3, 17, 29, 31, 43, 61, 67, 71, 73, 79, 83, 97, 101, 107, 109, 113, 137, 149, 151, 163, 181, 191, 193, 199, 227, 229, 233, 239, 257, 269, 271, 283, 307, 311, 313, 337, 347, 349, 353, 359, 389, 421, 431, 433, 439, 443, 457, 461, 467, 479, 509, 523, 541, 547, 563, 577, 587, 593, 599, 617, 631, 643, 661, 673, 683, 701, 709

Offset

1,1

Comments

Primes that are congruent to 3, 17, 21, 27, 29, 31, 33, or 39 mod 40. - Amiram Eldar, Nov 17 2023

Primes p such that the Legendre symbol (-10/p) = -1, i.e., -10 is not a square modulo p. - Jianing Song, Oct 23 2024

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

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

Maple

Load the Maple program HH given in A296920. Then run HH(-10, 200); This produces A155488, A296925, A293859. - N. J. A. Sloane, Dec 26 2017

Mathematica

Select[Prime[Range[127]], KroneckerSymbol[-10, #] == -1 &] (* Amiram Eldar, Nov 17 2023 *)

Crossrefs

Cf. A155488, A293859, A296920.

Sequence in context: A101153 A192538 A045436 * A167806 A007348 A105912

Adjacent sequences: A296922 A296923 A296924 * A296926 A296927 A296928

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 26 2017

Status

approved