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A107160 Primes of the form x^2 + 52y^2. 2
53, 61, 101, 173, 233, 257, 277, 433, 569, 677, 757, 829, 857, 881, 937, 953, 997, 1013, 1049, 1093, 1193, 1277, 1297, 1301, 1361, 1381, 1429, 1433, 1693, 1733, 1741, 1873, 1889, 1901, 1993, 2029, 2141, 2161, 2389, 2417, 2549, 2557, 2609 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant = -208. 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[1, 0, 52, 10000] (* see A106856 *)

PROG

(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\1), w=x^2; for(y=1, sqrtint((lim-w)\52), if(isprime(t=w+52*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 09 2017

CROSSREFS

Sequence in context: A086082 A126665 A279191 * A075587 A102635 A036268

Adjacent sequences:  A107157 A107158 A107159 * A107161 A107162 A107163

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 13 2005

STATUS

approved

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Last modified May 20 08:03 EDT 2022. Contains 353852 sequences. (Running on oeis4.)