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A163512 Primes of the form (1 + k + k^3)/3. 2
23, 337, 2293, 3557, 9941, 21347, 39233, 87403, 251221, 333367, 895253, 1080647, 1217473, 1696207, 2076563, 2626933, 2999707, 4493837, 6203297, 6857033, 8045953, 8299127, 8821297, 11442817, 13807361, 14538187, 17298497, 21333467 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
k must be congruent to 1 (mod 3) for (k^3 + k + 1)/3 to be an integer. - Michael B. Porter, Apr 07 2010
LINKS
EXAMPLE
(1 + 4 + 4^3)/3 = 23.
MATHEMATICA
f[n_]:=(1+n+n^3)/3; lst={}; Do[If[PrimeQ[f[n]], AppendTo[lst, f[n]]], {n, 7!}]; lst
Select[Table[(n^3+n+1)/3, {n, 400}], PrimeQ] (* Harvey P. Dale, Aug 28 2012 *)
PROG
(PARI) for(n=0, 200, m=3*n+1; if(isprime((m^3+m+1)/3), print((m^3+m+1)/3))) \\ Michael B. Porter, Apr 07 2010
CROSSREFS
Sequence in context: A220648 A243422 A028110 * A028059 A299710 A028055
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified June 18 08:27 EDT 2024. Contains 373472 sequences. (Running on oeis4.)