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A139959 Primes of the form 8x^2+8xy+53y^2. 1
53, 101, 149, 293, 389, 461, 509, 557, 701, 773, 797, 1109, 1181, 1277, 1301, 1373, 1613, 1709, 1733, 1973, 1997, 2141, 2333, 2381, 2549, 2741, 2789, 2837, 2909, 2957, 3221, 3413, 3557, 3821, 4013, 4133, 4157, 4229, 4373, 4421, 4637, 4877 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant=-1632. See A139827 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 {53, 77, 101, 149, 293, 341, 365, 389} (mod 408).

MATHEMATICA

QuadPrimes2[8, -8, 53, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(5000) | p mod 408 in [53, 77, 101, 149, 293, 341, 365, 389]]; // Vincenzo Librandi, Aug 02 2012

CROSSREFS

Sequence in context: A238678 A142296 A180520 * A044142 A044523 A063363

Adjacent sequences:  A139956 A139957 A139958 * A139960 A139961 A139962

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved

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Last modified June 25 06:26 EDT 2019. Contains 324347 sequences. (Running on oeis4.)