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A309844
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Primes of the form n^4 + n^2 + 3.
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0
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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
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OFFSET
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1,1
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COMMENTS
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Digital root of all values > 3 is 5, compare A017221.
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LINKS
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MATHEMATICA
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f[n_] := n^4 + n^2 + 3; Select[f /@ Range[0, 200], PrimeQ] (* Amiram Eldar, Aug 24 2019 *)
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PROG
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(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)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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