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Smallest prime in kx^3+x+4 is prime.
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%I #3 Oct 01 2013 17:58:23

%S 5,7,509,11,13,277,17,19,439,23,547,601,29,31,10301,37,4259,41,43,

%T 1087,47,32089,1249,53,168769,175519,59,61,77213,1627,67,8009,71,73,

%U 51043,1951,79,703861,83,10009,2221,89,1046389,2383,2437,97,68539,101,103

%N Smallest prime in kx^3+x+4 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