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 A107180 Primes of the form 2x^2 + 35y^2. 2
 2, 37, 43, 53, 67, 107, 163, 197, 277, 317, 347, 373, 443, 547, 557, 613, 653, 683, 757, 827, 877, 883, 907, 947, 1093, 1117, 1163, 1187, 1213, 1283, 1373, 1453, 1493, 1523, 1597, 1667, 1723, 1733, 1747, 1787, 1877, 1933, 1997, 2003, 2027, 2053 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Discriminant = -280. See A107132 for more information. LINKS Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi] N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references) FORMULA The primes are congruent to {2, 37, 43, 53, 67, 93, 107, 123, 163, 197, 253, 267, 277} (mod 280). - T. D. Noe, May 02 2008 MATHEMATICA QuadPrimes2[2, 0, 35, 10000] (* see A106856 *) PROG (MAGMA) [ p: p in PrimesUpTo(3000) | p mod 280 in {2, 37, 43, 53, 67, 93, 107, 123, 163, 197, 253, 267, 277} ]; // Vincenzo Librandi, Jul 26 2012 (PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\2), w=2*x^2; for(y=0, sqrtint((lim-w)\35), if(isprime(t=w+35*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017 CROSSREFS Cf. A139827. Sequence in context: A290803 A042569 A066196 * A162577 A199980 A063999 Adjacent sequences:  A107177 A107178 A107179 * A107181 A107182 A107183 KEYWORD nonn,easy AUTHOR T. D. Noe, May 13 2005 STATUS approved

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Last modified January 28 06:29 EST 2020. Contains 331317 sequences. (Running on oeis4.)