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A107007
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Primes of the form 3x^2+8y^2.
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4
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3, 11, 59, 83, 107, 131, 179, 227, 251, 347, 419, 443, 467, 491, 563, 587, 659, 683, 827, 947, 971, 1019, 1091, 1163, 1187, 1259, 1283, 1307, 1427, 1451, 1499, 1523, 1571, 1619, 1667, 1787, 1811, 1907, 1931, 1979, 2003, 2027, 2099, 2243, 2267
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Discriminant=-96. See A106856 for more information.
Except for 3, also primes of the forms 8x^2+8xy+11y^2 and 11x^2+6xy+27y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008
Except for the first member, 3, all the members seem to be Mangammal primes (cf. A123239 ) which are prime in both k(i) and k(rho). [From A. K. Devaraj (dkandadai(AT)gmail.com), Nov 24 2009]
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FORMULA
| Appears to be primes of the form 11+24k and 3. - T. D. Noe, Apr 24 2008
Except for 3, the primes are congruent to 11 (mod 24). - T. D. Noe (noe(AT)sspectra.com), May 02 2008
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MATHEMATICA
| Clear[f, lst, p, x, y]; f[x_, y_]:=3*x^2+8*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p<9468, 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, 8, 10000] (* see A106856 *)
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CROSSREFS
| Cf. A139827.
Sequence in context: A086827 A164291 A137690 * A156560 A028342 A137982
Adjacent sequences: A107004 A107005 A107006 * A107008 A107009 A107010
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KEYWORD
| nonn,easy
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), May 09 2005
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