The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A114365 Start with the empty list; for k = 1..oo, append to the list the smallest prime of the form k*m^3+m+1 with m>0 if such a prime exists, otherwise skip this value of k. 0
 3, 19, 5, 7, 389, 59, 67, 11, 83, 13, 773, 107, 7177, 17, 131, 19, 2381, 163, 23, 179, 23011, 98321, 5407, 211, 29, 227, 31, 30011, 251, 2053, 57037, 7351, 37, 2309, 63949, 307, 41, 8647, 43, 2693, 347, 9511, 47, 23561, 379, 1327, 25609, 53, 419, 564367 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are no primes in the sequence for k = 4,18,48,...,n(n+1)^2. This is because n(n+1)^2x^3 + x + 1 = ((n+1)x+1)((n^2 + n)x^2 - nx + 1). LINKS 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: A258200 A258007 A293700 * A084559 A272815 A179767 Adjacent sequences:  A114362 A114363 A114364 * A114366 A114367 A114368 KEYWORD easy,nonn AUTHOR Cino Hilliard, Feb 09 2006 EXTENSIONS Better definition from Omar E. Pol, Aug 06 2009, Aug 08 2009. Edited by N. J. A. Sloane, Aug 11 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 29 15:16 EDT 2020. Contains 333107 sequences. (Running on oeis4.)