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A107007
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Primes of the form 3*x^2+8*y^2.
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6
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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
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OFFSET
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1,1
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COMMENTS
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Discriminant=-96. See A106856 for more information.
Except for 3, also primes of the forms 8*x^2+8*x*y+11*y^2 and 11*x^2+6*x*y+27*y^2. See A140633. - T. D. Noe, May 19 2008
Except for the first member, 3, all the members seem to be terms of A123239 which are prime in both k(i) and k(rho). [From A.K. Devaraj, Nov 24 2009]
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
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FORMULA
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Except for 3, the terms are congruent to 11 (mod 24). - T. D. Noe, May 02 2008
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MATHEMATICA
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QuadPrimes[3, 0, 8, 10000] (* see A106856 *)
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PROG
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(MAGMA) [3] cat[ p: p in PrimesUpTo(3000) | p mod 24 in {11} ]; // Vincenzo Librandi, Jul 23 2012
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CROSSREFS
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Cf. A139827.
Sequence in context: A086827 A164291 A137690 * A199854 A156560 A028342
Adjacent sequences: A107004 A107005 A107006 * A107008 A107009 A107010
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KEYWORD
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nonn,easy
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AUTHOR
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T. D. Noe, May 09 2005
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STATUS
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approved
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