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A107175 Primes of the form 4x^2 + 17y^2. 2
17, 53, 157, 349, 409, 461, 569, 593, 829, 937, 977, 1381, 1409, 1597, 1721, 1733, 1753, 1777, 1861, 2053, 2089, 2129, 2161, 2269, 2381, 2633, 2729, 2857, 2909, 2957, 3137, 3313, 3449, 3517, 3617, 3821, 3877, 3889, 4021, 4373, 4513, 4637 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant = -272. 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[4, 0, 17, 10000] (* see A106856 *)

PROG

(PARI) list(lim)=my(v=List(), w, t); for(x=0, sqrtint(lim\4), w=4*x^2; for(y=1, sqrtint((lim-w)\17), if(isprime(t=w+17*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

CROSSREFS

Sequence in context: A154409 A033213 A082078 * A244270 A244271 A224269

Adjacent sequences:  A107172 A107173 A107174 * A107176 A107177 A107178

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 13 2005

STATUS

approved

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Last modified January 18 13:30 EST 2020. Contains 331007 sequences. (Running on oeis4.)