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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 (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 *)

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

STATUS

approved

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Last modified March 28 15:38 EDT 2017. Contains 284243 sequences.