A378295 Prime norms of ideals in Q(sqrt(10), sqrt(26)).

2, 5, 13, 37, 67, 79, 83, 163, 191, 197, 199, 227, 293, 307, 311, 317, 397, 439, 521, 557, 569, 587, 599, 601, 613, 641, 643, 683, 719, 733, 751, 773, 787, 809, 827, 853, 877, 881, 911, 919, 947, 991, 1031, 1039, 1049, 1123, 1163, 1231, 1237, 1249, 1307, 1361, 1373, 1439, 1481, 1493

Offset

1,1

Comments

Except for 2, 5 and 13, primes congruent to 1, 9, 37, 49, 67, 79, 81, 83, 93, 121, 123, 129, 159, 163, 187, 191, 197, 199, 203, 209, 213, 227, 231, 253, 267, 289, 293, 307, 311, 317, 321, 323, 329, 333, 357, 361, 391, 397, 399, 427, 437, 439, 441, 453, 471, 483, 511, 519 mod 520.

Primes in A378294.

Every prime p occurs in exactly one or all three of the sequences A038879, A038899 and A038945. This sequence lists the primes appearing in all three sequences.

Links

Table of n, a(n) for n=1..56.

Prog

(Magma) [p: p in PrimesUpTo(1500) | p in {2, 5, 13} or p mod 520 in [1, 9, 37, 49, 67, 79, 81, 83, 93, 121, 123, 129, 159, 163, 187, 191, 197, 199, 203, 209, 213, 227, 231, 253, 267, 289, 293, 307, 311, 317, 321, 323, 329, 333, 357, 361, 391, 397, 399, 427, 437, 439, 441, 453, 471, 483, 511, 519]];

Crossrefs

Cf. A038879, A038899, A038945, A378294.

Sequence in context: A019415 A262203 A175118 * A092395 A233281 A218551

Adjacent sequences: A378292 A378293 A378294 * A378296 A378297 A378298

Keyword

nonn

Author

Jovan Radenkovicc, Nov 22 2024

Status

approved