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Search: id:A107133
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| A107133 |
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Primes of the form 4x^2+7y^2. |
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+0
3
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| 7, 11, 23, 43, 67, 71, 79, 107, 127, 151, 163, 179, 191, 211, 239, 263, 331, 347, 359, 379, 431, 443, 463, 487, 491, 499, 547, 571, 599, 631, 659, 683, 739, 743, 751, 823, 827, 863, 883, 907, 911, 919, 947, 967, 991, 1019, 1031, 1051, 1087, 1103, 1163
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Discriminant=-112. See A107132 for more information.
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FORMULA
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Except for 7, the primes are congruent to {11, 15, 23} (mod 28). - 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_]:=4*x^2+7*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<7724, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 250] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 04 2009]
QuadPrimes[4, 0, 7, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A139827.
Sequence in context: A067790 A089056 A082496 this_sequence A079138 A163848 A111671
Adjacent sequences: A107130 A107131 A107132 this_sequence A107134 A107135 A107136
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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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