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Smallest prime in kx^3+x+3 is prime.
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%I #3 Oct 01 2013 17:58:23

%S 5,5,7,37,53,11,13,647,101,17,19,1031,149,23,173,181,197,29,31,229,

%T 30013,31013,37,277,293,41,43,40013,42013,47,2887,373,389,53,3271,421,

%U 3463,59,61,3719,3847,3911,67,32779,4231,71,73,35851,4679,79,613,4999

%N Smallest prime in kx^3+x+3 is prime.

%C Primes exist in this sequence for all k.

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

%K easy,nonn

%O 0,1

%A _Cino Hilliard_, Feb 09 2006