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A107195 Primes of the form 7x^2 + 12y^2. 2
7, 19, 199, 223, 283, 307, 367, 439, 607, 643, 859, 1039, 1231, 1279, 1291, 1459, 1483, 1543, 1627, 1951, 2131, 2203, 2371, 2383, 2539, 2707, 2719, 2791, 3079, 3499, 3547, 3643, 3727, 3919, 4003, 4051, 4231, 4339, 4423, 4483, 4507, 4567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant = -336. 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)

MATHEMATICA

QuadPrimes2[7, 0, 12, 10000] (* see A106856 *)

PROG

(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\7), w=7*x^2; for(y=0, sqrtint((lim-w)\12), if(isprime(t=w+12*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

CROSSREFS

Sequence in context: A201806 A128338 A173384 * A201479 A228150 A191624

Adjacent sequences:  A107192 A107193 A107194 * A107196 A107197 A107198

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 13 2005

STATUS

approved

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Last modified November 17 18:24 EST 2019. Contains 329241 sequences. (Running on oeis4.)