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A050267 Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0. 34
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.

REFERENCES

G. W. Fung & H. C. Williams, Quadratic polynomials which have a high density of prime values, Math. Comput., Vol.55(1990) 345-353.

R. K. Guy, Unsolved Problems in Number Theory(3nd edition, Springer, 2004), ISBN 0-387-20860-7, Section A17, page 59.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

C. Rivera, Problem 12: Prime producing polynomials

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, A027753, A027755, A005471, A027758, A048059, A007635, A005846, A116206, A050268, A022464.

Sequence in context: A251274 A184205 A128878 * A102326 A216262 A243410

Adjacent sequences:  A050264 A050265 A050266 * A050268 A050269 A050270

KEYWORD

sign

AUTHOR

Eric W. Weisstein

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

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Last modified September 26 15:27 EDT 2017. Contains 292531 sequences.