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

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%I A378295 #12 Nov 28 2024 13:30:07
%S A378295 2,5,13,37,67,79,83,163,191,197,199,227,293,307,311,317,397,439,521,
%T A378295 557,569,587,599,601,613,641,643,683,719,733,751,773,787,809,827,853,
%U A378295 877,881,911,919,947,991,1031,1039,1049,1123,1163,1231,1237,1249,1307,1361,1373,1439,1481,1493
%N A378295 Prime norms of ideals in Q(sqrt(10), sqrt(26)).
%C A378295 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.
%C A378295 Primes in A378294.
%C A378295 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.
%o A378295 (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]];
%Y A378295 Cf. A038879, A038899, A038945, A378294.
%K A378295 nonn
%O A378295 1,1
%A A378295 _Jovan Radenkovicc_, Nov 22 2024