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A107202
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Primes of the form x^2 + 88y^2.
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2
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89, 97, 113, 137, 257, 313, 353, 401, 433, 449, 521, 577, 617, 641, 881, 929, 977, 1049, 1153, 1193, 1321, 1409, 1433, 1489, 1609, 1697, 1721, 1753, 1873, 2017, 2113, 2137, 2161, 2281, 2297, 2377, 2473, 2633, 2689, 2729, 2753, 2777, 2897
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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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The primes are congruent to {1, 9, 25, 49, 81} (mod 88). - T. D. Noe, Apr 29 2008
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MATHEMATICA
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QuadPrimes2[1, 0, 88, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(4000) | p mod 88 in {1, 9, 25, 49, 81}]; // Vincenzo Librandi, Jul 28 2012
(PARI) list(lim)=my(v=List(), s=[1, 9, 25, 49, 81]); forprime(p=89, 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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