A390498 Norms of irreducible elements of Z[sqrt(-6)].

4, 6, 7, 9, 10, 15, 22, 25, 31, 33, 55, 58, 73, 79, 87, 97, 103, 106, 118, 121, 127, 145, 151, 159, 166, 169, 177, 193, 199, 202, 214, 223, 241, 249, 262, 265, 271, 289, 295, 298, 303, 313, 319, 321, 337, 346, 358, 361, 367, 393, 394, 409, 415, 433, 439, 447, 454, 457, 463, 487

Offset

1,1

Comments

Note that Q(sqrt(-6)) has class number 2.

A391361 is the main sequence.

Links

Jianing Song, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A157437 (primes decomposing in Q(sqrt(-6))), A191059 (prime remaining inert in Q(sqrt(-6))), A033199 ((p) is the product of two principal ideals), A084865 ((p) is the product of two non-principal ideals).

Other sequences related to factorizations in Z[sqrt(-6)]: A391366, A391361, A391364.

Analogs in other quadratic fields with class number 2: A390422 (discriminant -15), A091730 (discriminant -20), A390526 (discriminant 40).

Sequence in context: A370267 A002481 A370268 * A183870 A186497 A387349

Adjacent sequences: A390495 A390496 A390497 * A390499 A390500 A390501

Keyword

nonn,easy

Author

Jianing Song, Dec 07 2025

Status

approved