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 A182255 81n^2 - 2247n + 15383. 0
 15383, 13217, 11213, 9371, 7691, 6173, 4817, 3623, 2591, 1721, 1013, 467, 83, -139, -199, -97, 167, 593, 1181, 1931, 2843, 3917, 5153, 6551, 8111, 9833, 11717, 13763, 15971, 18341, 20873, 23567, 26423, 29441, 32621, 35963, 39467, 43133, 46961, 50951, 55103 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The polynomial generates 33 primes/negative values of primes in a row starting from n=0. The polynomial 81*n^2 - 2937*n + 26423 generates the same primes in reverse order. Note: we found in the same family of prime-generating polynomials (with the discriminant equal to 64917 = 3^2*7213) the polynomial 27n^2 - 753n + 4649 (with its "reversed polynomial" 27n^2 - 921n + 7253), generating 32 primes in a row and the polynomial 27n^2 - 741n + 4483 (27n^2 - 1095n + 10501), generating 35 primes in a row, if we consider that 1 is prime (which seems to be constructive in the study of prime-generating polynomials, at least). Note: the polynomial 36n^2 - 810n + 2753, which is the known quadratic polynomial that generates the most distinct primes in a row (45), has the discriminant equal to 259668 = 2^2*3^2*7213. LINKS E. W. Weisstein, MathWorld: Prime-Generating Polynomial Index entries for linear recurrences with constant coefficients, signature (3,-3,1). MATHEMATICA Table[81n^2-2247n+15383, {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {15383, 13217, 11213}, 50] (* Harvey P. Dale, Jan 17 2019 *) PROG (PARI) a(n)=81*n^2-2247*n+15383 \\ Charles R Greathouse IV, Oct 01 2012 CROSSREFS Sequence in context: A054834 A232893 A054835 * A054836 A054837 A252990 Adjacent sequences:  A182252 A182253 A182254 * A182256 A182257 A182258 KEYWORD sign,easy AUTHOR Marius Coman, Apr 21 2012 STATUS approved

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Last modified December 5 23:39 EST 2019. Contains 329784 sequences. (Running on oeis4.)