The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A111052 Numbers n such that 3*n^2 + 4 is prime. 2

%I #19 Sep 08 2022 08:45:20

%S 1,3,5,7,11,19,21,25,31,33,37,39,45,49,53,73,75,77,81,89,91,93,107,

%T 115,119,129,131,135,137,145,157,185,187,193,203,205,207,213,215,221,

%U 227,229,231,249,259,261,263,271,283,291,297,299,301,317,325,327,331

%N Numbers n such that 3*n^2 + 4 is prime.

%H Harvey P. Dale, <a href="/A111052/b111052.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = sqrt(A201477(n)-4)/3)). - _Zak Seidov_, Feb 04 2016

%e If n=77 then 3*n^2 + 4 = 17791 (prime).

%t Select[Range[340], PrimeQ[3*#^2 + 4] &] (* _Stefan Steinerberger_, Feb 26 2006 *)

%o (PARI) lista(nn) = {for(n=1, nn, if(ispseudoprime(3*n^2 + 4), print1(n, ", ")));} \\ _Altug Alkan_, Feb 05 2016

%o (Magma) [n: n in [1..350] | IsPrime(3*n^2+4)]; // _Vincenzo Librandi_, Feb 06 2016

%Y Cf. A201477.

%K nonn

%O 1,2

%A _Parthasarathy Nambi_, Oct 06 2005

%E More terms from _Stefan Steinerberger_, Feb 26 2006

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 June 5 04:27 EDT 2024. Contains 373102 sequences. (Running on oeis4.)