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Search: id:A107138
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| A107138 |
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Primes of the form 3x^2+11y^2. |
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+0
3
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| 3, 11, 23, 47, 59, 71, 179, 191, 251, 311, 383, 419, 443, 467, 587, 599, 647, 683, 719, 839, 863, 911, 947, 971, 983, 1103, 1259, 1307, 1367, 1439, 1499, 1511, 1523, 1571, 1607, 1787, 1871, 1907, 2003, 2027, 2039, 2099, 2267, 2399, 2423, 2447, 2531
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Discriminant=-132. See A107132 for more information.
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FORMULA
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The primes are congruent to {3, 11, 23, 47, 59, 71, 119} (mod 132). - T. D. Noe (noe(AT)sspectra.com), May 02 2008
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MATHEMATICA
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Clear[f, lst, p, x, y]; f[x_, y_]:=3*x^2+11*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<9624, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 150] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 05 2009]
QuadPrimes[3, 0, 11, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A139827.
Sequence in context: A159791 A078723 A141187 this_sequence A145473 A128928 A145477
Adjacent sequences: A107135 A107136 A107137 this_sequence A107139 A107140 A107141
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KEYWORD
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nonn,easy
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), May 13 2005
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