A114367 Smallest prime in kx^3+x+3 is prime.

5, 5, 7, 37, 53, 11, 13, 647, 101, 17, 19, 1031, 149, 23, 173, 181, 197, 29, 31, 229, 30013, 31013, 37, 277, 293, 41, 43, 40013, 42013, 47, 2887, 373, 389, 53, 3271, 421, 3463, 59, 61, 3719, 3847, 3911, 67, 32779, 4231, 71, 73, 35851, 4679, 79, 613, 4999

Offset

0,1

Comments

Primes exist in this sequence for all k.

Links

Table of n, a(n) for n=0..51.

Prog

(PARI) g2(n, p) = for(k=1, n, for(x=1, n, y=k*x^3+x+p; if(isprime(y), print1(y", "); break)))

Crossrefs

Sequence in context: A077977 A019204 A301733 * A093311 A364909 A328344

Adjacent sequences: A114364 A114365 A114366 * A114368 A114369 A114370

Keyword

easy,nonn

Author

Cino Hilliard, Feb 09 2006

Status

approved