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 A128878 Primes of the form 47*n^2 - 1701*n + 10181. 2
 10181, 8527, 6967, 5501, 4129, 2851, 1667, 577, 379, 1451, 2617, 3877, 5231, 6679, 8221, 9857, 11587, 13411, 15329, 17341, 19447, 21647, 31387, 34057, 36821, 39679, 45677, 48817, 52051, 65927, 81307, 89561, 102647, 107197, 116579, 126337, 131357 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes are given in the order in which they arise for increasing n. Polynomial generates 22 primes for 0 <= n <= 42, i.e., for n = 0, 1, 2, 3, 4, 5, 6, 7, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42. If the definition is replaced by "Numbers n of the form 47*k^2 - 1701*k + 10181 such that either n or -n is a prime" we get (essentially) A050267. REFERENCES R. K. Guy, Unsolved Problems in Number Theory, 3rd edition, Springer, 2004, ISBN 0-387-20860-7, Section A17, page 59. LINKS 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 and Problems Connection. EXAMPLE 47k^2 - 1701k + 10181 = 21647 for k = 42. MATHEMATICA Select[Table[47*n^2 - 1701*n + 10181, {n, 0, 100}], # > 0 && PrimeQ[#] &] (* T. D. Noe, Aug 02 2011 *) CROSSREFS Cf. A050267, A002383, A027753, A027755, A005471, A027758, A048059, A007635, A005846, A116206, A050268, A022464. Sequence in context: A243974 A251274 A184205 * A050267 A102326 A216262 Adjacent sequences: A128875 A128876 A128877 * A128879 A128880 A128881 KEYWORD nonn AUTHOR Douglas Winston (douglas.winston(AT)srupc.com), Apr 17 2007 EXTENSIONS Edited by Klaus Brockhaus, Apr 22 2007 and by N. J. A. Sloane, May 05 2007 and May 06 2007 STATUS approved

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Last modified March 28 20:24 EDT 2023. Contains 361596 sequences. (Running on oeis4.)