|
Search: id:A106981
|
|
|
| A106981 |
|
Primes of the form 2x^2+xy+11y^2, with x and y any integer. |
|
+0
1
|
|
| 2, 11, 17, 47, 89, 101, 113, 131, 251, 269, 293, 311, 317, 389, 443, 449, 503, 563, 569, 599, 641, 653, 659, 677, 743, 809, 839, 881, 887, 911, 947, 1013, 1061, 1091, 1163, 1181, 1187, 1259, 1307, 1319, 1361, 1373, 1409, 1487, 1511, 1523, 1583
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Discriminant=-87. See A106856 for more information.
|
|
MATHEMATICA
|
f[x_, y_]:=2*x^2+x*y+11*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p], AppendTo[lst, p]], {y, -5!, 6!}], {x, -5!, 6!}]; Take[Union[lst], 5! ] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 04 2009]
Union[QuadPrimes[2, 1, 11, 10000], QuadPrimes[2, -1, 11, 10000]] (* see A106856 *)
|
|
CROSSREFS
|
Sequence in context: A118839 A091735 A106949 this_sequence A089592 A106982 A043461
Adjacent sequences: A106978 A106979 A106980 this_sequence A106982 A106983 A106984
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
T. D. Noe (noe(AT)sspectra.com), May 09 2005
|
|
|
Search completed in 0.002 seconds
|
