|
|
A139662
|
|
Primes of the form x^2 + 462*y^2.
|
|
2
|
|
|
463, 487, 631, 751, 823, 991, 1087, 1303, 1423, 1831, 1873, 2017, 2137, 2143, 2311, 2377, 2473, 2671, 2689, 3217, 3271, 3529, 3697, 3943, 4057, 4159, 4327, 4447, 4519, 4657, 4783, 4951, 4999, 5119, 5503, 5527, 5569, 5791, 5839, 6007, 6073
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Discriminant = -1848. See A139643 for more information.
The primes are congruent to {1, 25, 169, 247, 289, 295, 361, 463, 487, 529, 625, 631, 697, 751, 793, 823, 841, 961, 991, 1087, 1159, 1255, 1303, 1345, 1369, 1423, 1633, 1681, 1807, 1831} (mod 1848).
|
|
LINKS
|
|
|
MATHEMATICA
|
QuadPrimes2[1, 0, 462, 10000] (* see A106856 *)
|
|
PROG
|
(Magma) k:=462; [p: p in PrimesUpTo(7000) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|