This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A128878 #17 Jun 17 2021 04:38:46 %S A128878 10181,8527,6967,5501,4129,2851,1667,577,379,1451,2617,3877,5231,6679, %T A128878 8221,9857,11587,13411,15329,17341,19447,21647,31387,34057,36821, %U A128878 39679,45677,48817,52051,65927,81307,89561,102647,107197,116579,126337,131357 %N A128878 Primes of the form 47*n^2 - 1701*n + 10181. %C A128878 Primes are given in the order in which they arise for increasing n. %C A128878 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. %C A128878 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. %D A128878 R. K. Guy, Unsolved Problems in Number Theory, 3rd edition, Springer, 2004, ISBN 0-387-20860-7, Section A17, page 59. %H A128878 G. W. Fung and H. C. Williams, <a href="https://www.jstor.org/stable/2008810">Quadratic polynomials which have a high density of prime values</a>, Math. Comput. 55(191) (1990), 345-353. %H A128878 Carlos Rivera, <a href="http://www.primepuzzles.net/problems/prob_012.htm">Problem 12: Prime producing polynomials</a>, The Prime Puzzles and Problems Connection. %e A128878 47k^2 - 1701k + 10181 = 21647 for k = 42. %t A128878 Select[Table[47*n^2 - 1701*n + 10181, {n, 0, 100}], # > 0 && PrimeQ[#] &] (* _T. D. Noe_, Aug 02 2011 *) %Y A128878 Cf. A050267, A002383, A027753, A027755, A005471, A027758, A048059, A007635, A005846, A116206, A050268, A022464. %K A128878 nonn %O A128878 1,1 %A A128878 Douglas Winston (douglas.winston(AT)srupc.com), Apr 17 2007 %E A128878 Edited by _Klaus Brockhaus_, Apr 22 2007 and by _N. J. A. Sloane_, May 05 2007 and May 06 2007