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A114366 Smallest prime in kx^3+x+2 is prime. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 17 23:35 EST 2020. Contains 332006 sequences. (Running on oeis4.)