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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A309844 Primes of the form n^4 + n^2 + 3. 0
3, 5, 23, 653, 10103, 83813, 160403, 234743, 280373, 1049603, 3420653, 6252503, 11319863, 52207853, 92246423, 146422103, 174913853, 221548343, 442071653, 479807123, 577224653, 607597853, 655385603, 937921253, 1222865933, 1249233683, 1387525253, 1506177293 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Digital root of all values > 3 is 5, compare A017221.

LINKS

Table of n, a(n) for n=1..28.

MATHEMATICA

f[n_] := n^4 + n^2 + 3; Select[f /@ Range[0, 200], PrimeQ] (* Amiram Eldar, Aug 24 2019 *)

PROG

(MATLAB)

a = [];

for n = 0:1e3

    x = n.^4+n.^2+3;

    if isprime(x); a = [a, x]; end;

end

(Python)

from sympy import isprime

a = []

for n in range(0, 1000):

    x = n**4+n**2+3

    if isprime(x):

        a.append(x)

CROSSREFS

Subset of A027753. Subset of A017221.

Cf. A037896, A182344, A182345, A049423.

Sequence in context: A137086 A137087 A214589 * A062218 A050280 A005761

Adjacent sequences:  A309841 A309842 A309843 * A309845 A309846 A309847

KEYWORD

nonn,easy

AUTHOR

Christopher R. Madan, Aug 19 2019

STATUS

approved

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 January 22 10:25 EST 2020. Contains 331144 sequences. (Running on oeis4.)