login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A107136 Primes of the form 3x^2 + 10y^2. 1

%I

%S 3,13,37,43,67,157,163,277,283,307,373,397,523,547,613,643,733,757,

%T 787,853,877,883,907,997,1093,1117,1123,1213,1237,1453,1483,1597,1627,

%U 1693,1723,1747,1867,1933,1987,2053,2083,2203,2293,2347,2437,2467

%N Primes of the form 3x^2 + 10y^2.

%C Discriminant = -120. See A107132 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A107136/b107136.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 {3, 13, 37, 43, 67} (mod 120). - _T. D. Noe_, May 02 2008

%t QuadPrimes2[3, 0, 10, 10000] (* see A106856 *)

%o (MAGMA) [ p: p in PrimesUpTo(3000) | p mod 120 in {3, 13, 37, 43, 67} ]; // _Vincenzo Librandi_, Jul 23 2012

%o (PARI) list(lim)=my(v=List([3]), s=[13, 37, 43, 67]); forprime(p=13, lim, if(setsearch(s, p%120), listput(v, p))); Vec(v) \\ _Charles R Greathouse IV_, Feb 09 2017

%Y Cf. A139827.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 13 2005

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 12 12:50 EST 2019. Contains 329958 sequences. (Running on oeis4.)