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!)
A272075 Primes of the form k^4 + 29*k^2 + 101. 30
101, 131, 233, 443, 821, 1451, 2441, 3923, 6053, 9011, 13001, 18251, 25013, 33563, 44201, 57251, 73061, 92003, 114473, 140891, 207371, 295283, 476681, 951491, 1078373, 1369961, 1536251, 1913963, 3472523, 3804341, 4159451, 4943843, 5834531, 7972043, 9925541 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Prime-Generating Polynomials
EXAMPLE
233 is prime and it is in this sequence since 233 = 2^4 + 29*2^2 + 101.
MATHEMATICA
n = Range[0, 100]; Select[#^4 + 29#^2 + 101, PrimeQ[#] &]
PROG
(PARI) lista(nn) = for(n=0, nn, if(ispseudoprime(p=n^4+29*n^2+101), print1(p, ", "))); \\ Altug Alkan, Apr 19 2016
CROSSREFS
Sequence in context: A059758 A158089 A104946 * A162463 A035790 A139489
KEYWORD
nonn,less
AUTHOR
Robert Price, Apr 19 2016
STATUS
approved

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 May 20 05:07 EDT 2024. Contains 372703 sequences. (Running on oeis4.)