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!)
A272074 Numbers k such that k^4 + 29*k^2 + 101 is prime. 30

%I #22 Nov 22 2021 09:57:53

%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,23,26,31,32,34,

%T 35,37,43,44,45,47,49,53,56,60,61,62,66,67,68,70,71,72,74,75,79,80,81,

%U 84,85,89,90,91,93,96,99

%N Numbers k such that k^4 + 29*k^2 + 101 is prime.

%H Robert Price, <a href="/A272074/b272074.txt">Table of n, a(n) for n = 1..2264</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomials</a>

%e 4 is in this sequence since 4^4 + 29*4^2 + 101 = 256+464+101 = 821 is prime.

%t Select[Range[0,100],PrimeQ[#^4+29#^2+101]&] (* _Harvey P. Dale_, Dec 15 2020 *)

%o (PARI) lista(nn) = for(n=0, nn, if(ispseudoprime(n^4+29*n^2+101), print1(n, ", "))); \\ _Altug Alkan_, Apr 19 2016

%Y Cf. A050265 - A050268, A005846, A007641, A007635, A048988, A256585.

%Y Cf. A271980, A272075.

%K nonn,less

%O 1,3

%A _Robert Price_, Apr 19 2016

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 24 06:39 EDT 2024. Contains 371920 sequences. (Running on oeis4.)