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Search: id:A107136
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| A107136 |
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Primes of the form 3x^2+10y^2. |
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+0
2
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| 3, 13, 37, 43, 67, 157, 163, 277, 283, 307, 373, 397, 523, 547, 613, 643, 733, 757, 787, 853, 877, 883, 907, 997, 1093, 1117, 1123, 1213, 1237, 1453, 1483, 1597, 1627, 1693, 1723, 1747, 1867, 1933, 1987, 2053, 2083, 2203, 2293, 2347, 2437, 2467
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Discriminant=-120. See A107132 for more information.
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FORMULA
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The primes are congruent to {3, 13, 37, 43, 67} (mod 120). - 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+10*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<9404, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 150] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 04 2009]
QuadPrimes[3, 0, 10, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A139827.
Sequence in context: A061483 A128288 A113115 this_sequence A153009 A147168 A147183
Adjacent sequences: A107133 A107134 A107135 this_sequence A107137 A107138 A107139
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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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