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Search: id:A107135
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| A107135 |
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Primes of the form 5x^2+6y^2. |
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+0
4
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| 5, 11, 29, 59, 101, 131, 149, 179, 251, 269, 389, 419, 461, 491, 509, 659, 701, 821, 941, 971, 1019, 1061, 1091, 1109, 1181, 1229, 1259, 1301, 1451, 1499, 1571, 1619, 1709, 1811, 1901, 1931, 1949, 1979, 2069, 2099, 2141, 2309, 2339, 2381, 2411
(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.
Except for 5, also primes of the form 11x^2+4xy+14y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008
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FORMULA
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The primes are congruent to {5, 11, 29, 59, 101} (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_]:=5*x^2+6*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<9492, AppendTo[lst, p]], {y, 0, 6!}], {x, 0, 6!}]; Take[Union[lst], 150] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 04 2009]
QuadPrimes[5, 0, 6, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A139827.
Sequence in context: A062772 A030080 A046141 this_sequence A129780 A154504 A106060
Adjacent sequences: A107132 A107133 A107134 this_sequence A107136 A107137 A107138
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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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