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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A140621 Primes of the form 28x^2+12xy+57y^2. 1

%I

%S 73,97,193,457,577,1033,1657,1753,2017,2113,2137,2377,2593,2953,3217,

%T 3313,3673,3697,4153,4297,4513,5233,5857,6073,6337,6793,7057,7417,

%U 7753,7873,7993,8353,8377,9433,9817,10177,10753,10993,11113,11497

%N Primes of the form 28x^2+12xy+57y^2.

%C Discriminant=-6240. Also primes of the form 72x^2+48xy+73y^2.

%C In base 12, the sequence is 61, 81, 141, 321, 401, 721, E61, 1021, 1201, 1281, 12X1, 1461, 1601, 1861, 1X41, 1E01, 2161, 2181, 24X1, 25X1, 2741, 3041, 3481, 3621, 3801, 3E21, 4101, 4361, 45X1, 4681, 4761, 4X01, 4X21, 5561, 5821, 5X81, 6281, 6441, 6521, 67X1, where X is for 10 and E is for 11. Moreover, the discriminant is -3740. - _Walter Kehowski_, Jun 01 2008

%H Vincenzo Librandi and Ray Chandler, <a href="/A140621/b140621.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)

%t Union[QuadPrimes2[28, 12, 57, 10000], QuadPrimes2[28, -12, 57, 10000]] (* see A106856 *)

%Y Cf. A140633.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 19 2008

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 September 20 07:32 EDT 2021. Contains 347577 sequences. (Running on oeis4.)