login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 A341174

Adjacent sequences:  A139848 A139849 A139850 * A139852 A139853 A139854

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 5 11:05 EST 2021. Contains 349557 sequences. (Running on oeis4.)