A114354 Primes of the form 9x^3 + x + 1.

11, 1951, 6571, 9011, 30391, 61751, 197597, 243031, 323467, 576041, 995377, 1058891, 1193911, 2042891, 2587531, 2956651, 3796951, 6561091, 6782231, 10418731, 10719251, 13334011, 13687991, 14787407, 18003511, 24170711

Offset

1,1

Links

Table of n, a(n) for n=1..26.

David Broadhurst, An algebraic approach to primality proving.

Mathematica

Select[Table[9 n^3 + n + 1, {n, 500}], PrimeQ] (* Wesley Ivan Hurt, Jan 06 2026 *)

Prog

(PARI) g(n, k) = for(x=1, n, y=k*x^3+x+1; if(isprime(y), print1(y", ")))

Crossrefs

Sequence in context: A028453 A373883 A024151 * A167249 A180587 A060885

Adjacent sequences: A114351 A114352 A114353 * A114355 A114356 A114357

Keyword

easy,nonn

Author

Cino Hilliard, Feb 09 2006

Status

approved