A114368 Smallest prime in kx^3+x+4 is prime.

5, 7, 509, 11, 13, 277, 17, 19, 439, 23, 547, 601, 29, 31, 10301, 37, 4259, 41, 43, 1087, 47, 32089, 1249, 53, 168769, 175519, 59, 61, 77213, 1627, 67, 8009, 71, 73, 51043, 1951, 79, 703861, 83, 10009, 2221, 89, 1046389, 2383, 2437, 97, 68539, 101, 103

Offset

0,1

Comments

Primes exist in this sequence for all k.

Links

Table of n, a(n) for n=0..48.

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: A159019 A059394 A176960 * A260830 A260827 A020467

Adjacent sequences: A114365 A114366 A114367 * A114369 A114370 A114371

Keyword

easy,nonn

Author

Cino Hilliard, Feb 09 2006

Status

approved