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A139851 Primes of the form 4x^2+4xy+29y^2. 3
29, 37, 53, 109, 149, 197, 277, 317, 373, 389, 421, 541, 557, 613, 653, 701, 709, 757, 821, 877, 1061, 1093, 1117, 1213, 1229, 1373, 1381, 1429, 1453, 1493, 1549, 1597, 1621, 1709, 1733, 1789, 1877, 1901, 1933, 1997, 2053, 2069, 2213, 2221, 2237 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Discriminant=-448. 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 {29, 37, 53} (mod 56).

MATHEMATICA

QuadPrimes2[4, -4, 29, 10000] (* see A106856 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(3000) | p mod 56 in {29, 37, 53}]; // Vincenzo Librandi, Jul 29 2012

CROSSREFS

Sequence in context: A031925 A325058 A107134 * A139895 A304688 A167470

Adjacent sequences:  A139848 A139849 A139850 * A139852 A139853 A139854

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved

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Last modified April 9 08:41 EDT 2020. Contains 333344 sequences. (Running on oeis4.)