A114366 Smallest prime in kx^3+x+2 is prime.

3, 5, 7, 167, 11, 13, 17, 19, 491, 23, 599, 653, 29, 31, 21881, 4007, 37, 977, 41, 43, 141767, 47, 15787, 1301, 53, 1409, 71887, 59, 61, 7507, 7757, 67, 1787, 71, 73, 1949, 2003, 79, 2111, 83, 276767, 2273, 89, 2381, 11257, 67079, 97, 12007, 101, 103, 12757

Offset

0,1

Comments

Primes exist in this sequence for all k. If x is allowed to be 0, then we get the sequence 2,2,2,2,2,2,...

Links

Table of n, a(n) for n=0..50.

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: A292848 A128344 A259385 * A088092 A174271 A211678

Adjacent sequences: A114363 A114364 A114365 * A114367 A114368 A114369

Keyword

easy,nonn

Author

Cino Hilliard, Feb 09 2006

Status

approved