login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A139948 Primes of the form 19x^2+4xy+19y^2. 2

%I #17 Sep 08 2022 08:45:34

%S 19,103,223,271,307,523,727,859,1039,1063,1123,1279,1291,1447,1483,

%T 1531,1543,1699,1783,1879,1951,1987,2287,2371,2467,2551,2707,2719,

%U 2803,2971,3079,3163,3307,3331,3391,3583,3727,3919,4003,4231,4339

%N Primes of the form 19x^2+4xy+19y^2.

%C Discriminant=-1428. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139948/b139948.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]

%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)

%F The primes are congruent to {19, 55, 103, 115, 223, 271, 307, 355, 451, 475, 523, 535, 559, 727, 859, 871, 943, 1039, 1063, 1123, 1147, 1279, 1291, 1375} (mod 1428).

%t Union[QuadPrimes2[19, 4, 19, 10000], QuadPrimes2[19, -4, 19, 10000]] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [19, 55, 103, 115, 223, 271, 307, 355, 451, 475, 523, 535, 559, 727, 859, 871, 943, 1039, 1063, 1123, 1147, 1279, 1291, 1375]];// _Vincenzo Librandi_, Aug 02 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 20 00:15 EDT 2024. Contains 375310 sequences. (Running on oeis4.)