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A107135
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Primes of the form 5x^2 + 6y^2.
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3
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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
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OFFSET
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1,1
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COMMENTS
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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, May 19 2008
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LINKS
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FORMULA
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The primes are congruent to {5, 11, 29, 59, 101} (mod 120). - T. D. Noe, May 02 2008
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MATHEMATICA
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QuadPrimes2[5, 0, 6, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 120 in {5, 11, 29, 59, 101} ]; // Vincenzo Librandi, Jul 23 2012
(PARI) list(lim)=my(v=List([5]), s=[11, 29, 59, 101]); forprime(p=11, lim, if(setsearch(s, p%120), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 09 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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