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!)
A139990 Primes of the form 12x^2+12xy+73y^2. 2

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

%S 73,97,313,433,577,937,1153,1657,1753,1777,1993,2113,2593,2617,2833,

%T 2953,3433,3457,3673,3793,4177,4273,4297,4513,5113,5857,5953,6793,

%U 7297,7537,7873,7993,8377,8713,9337,9817,10177,10513,10657,10993

%N Primes of the form 12x^2+12xy+73y^2.

%C Discriminant=-3360. See A139827 for more information.

%C Also primes of the forms 48x^2+24xy+73y^2 and 33x^2+12xy+52y^2. See A140633. - _T. D. Noe_, May 19 2008

%H Vincenzo Librandi and Ray Chandler, <a href="/A139990/b139990.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 {73, 97, 313, 433, 577, 817} (mod 840).

%t QuadPrimes2[12, -12, 73, 10000] (* see A106856 *)

%o (Magma) [p: p in PrimesUpTo(11000) | p mod 840 in [73, 97, 313, 433, 577, 817]]; // _Vincenzo Librandi_, Auig 03 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 April 19 14:50 EDT 2024. Contains 371792 sequences. (Running on oeis4.)