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A107201
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Primes of the form 8x^2 + 11y^2.
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2
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11, 19, 43, 83, 107, 131, 139, 211, 227, 283, 307, 347, 491, 523, 547, 563, 571, 659, 739, 787, 811, 827, 1019, 1051, 1091, 1163, 1187, 1283, 1427, 1451, 1459, 1531, 1579, 1619, 1627, 1667, 1723, 1811, 1867, 1931, 1979, 1987, 2131, 2243, 2251
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OFFSET
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1,1
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COMMENTS
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Discriminant = -352. See A107132 for more information.
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LINKS
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FORMULA
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Except for 11, the primes are congruent to {19, 35, 43, 51, 83} (mod 88). - T. D. Noe, May 02 2008
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MATHEMATICA
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QuadPrimes2[8, 0, 11, 10000] (* see A106856 *)
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PROG
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(Magma) [11] cat[ p: p in PrimesUpTo(4000) | p mod 88 in {19, 35, 43, 51, 83}]; // Vincenzo Librandi, Jul 28 2012
(PARI) list(lim)=my(v=List([11]), s=[19, 35, 43, 51, 83]); forprime(p=19, lim, if(setsearch(s, p%88), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 10 2017
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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