The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A050267 Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0. 37
 10181, 8527, 6967, 5501, 4129, 2851, 1667, 577, -419, -1321, -2129, -2843, -3463, -3989, -4421, -4759, -5003, -5153, -5209, -5171, -5039, -4813, -4493, -4079, -3571, -2969, -2273, -1483, -599, 379, 1451, 2617, 3877, 5231, 6679, 8221, 9857, 11587, 13411, 15329, 17341, 19447, 21647, 31387 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Terms are listed in the order of their appearance in sequence b. This is a transformed version of the polynomial P(x) = 47*x^2 + 9*x - 5209 whose absolute value gives 43 distinct primes for -24 <= x <= 18, found by G. W. Fung in 1988. - Hugo Pfoertner, Dec 13 2019 REFERENCES R. K. Guy, Unsolved Problems in Number Theory, 3rd ed., Springer, 2004 (ISBN 0-387-20860-7); see Section A17, p. 59. Paulo Ribenboim, The Little Book of Bigger Primes, Second Edition, Springer-Verlag New York, 2004. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 G. W. Fung and H. C. Williams, Quadratic polynomials which have a high density of prime values, Math. Comput. 55(191) (1990), 345-353. Carlos Rivera, Problem 12: Prime producing polynomials, The Prime Puzzles & Problems Connection. Eric Weisstein's World of Mathematics, Prime-Generating Polynomial. MATHEMATICA lst={}; Do[p=47*n^2-1701*n+10181; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 29 2009 *) Select[Table[47n^2-1701n+10181, {n, 0, 50}], PrimeQ] (* Harvey P. Dale, Oct 03 2011 *) PROG (PARI) [n | n <- apply(m->47*m^2-1701*m+10181, [0..100]), isprime(abs(n))] \\ Charles R Greathouse IV, Jun 18 2017 CROSSREFS Cf. A002383, A005471, A005846, A007635, A022464, A027753, A027755, A027758, A048059, A050267, A050268, A116206, A117081, A267252. Sequence in context: A251274 A184205 A128878 * A102326 A216262 A243410 Adjacent sequences: A050264 A050265 A050266 * A050268 A050269 A050270 KEYWORD sign,less AUTHOR EXTENSIONS Edited by N. J. A. Sloane, May 10 2007 Further edited by Klaus Brockhaus, Mar 20 2010 More terms (to distinguish from quadratic) from Charles R Greathouse IV, Jun 18 2017 STATUS approved

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

Last modified March 28 17:44 EDT 2023. Contains 361596 sequences. (Running on oeis4.)