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

Author

Jovan Radenkovicc, Nov 22 2024

Keywords

• nonn

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.

Crossrefs

Cf. A038879, A038899, A038945, A378294.

Programs

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]];