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A210527 a(n) = 9*n^2 + 39*n + 83. 0

%I

%S 83,131,197,281,383,503,641,797,971,1163,1373,1601,1847,2111,2393,

%T 2693,3011,3347,3701,4073,4463,4871,5297,5741,6203,6683,7181,7697,

%U 8231,8783,9353,9941,10547,11171,11813,12473,13151,13847,14561,15293,16043,16811,17597

%N a(n) = 9*n^2 + 39*n + 83.

%C This polynomial generates 25 sequential primes numbers for n = 0 to n = 24.

%C The total number of primes does not go below one-half of the total number of terms generated until n=862. - _Harvey P. Dale_, Mar 18 2016

%C Conjecture: the total number of primes remains below one-half of the total number of terms generated from and after n=886. - _Harvey P. Dale_, Mar 18 2016

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

%e a(0)=83, a(1)=131, a(2)=197, a(3)=281, ..., a(24)=6203.

%t Table[9n^2+39n+83,{n,0,200}] (* _Harvey P. Dale_, Mar 18 2016 *)

%o (Maxima) makelist(9*n^2 + 39*n + 83,n,0,66); /* _Martin Ettl_, Feb 12 2013 */

%o (PARI) a(n)=9*n^2+39*n+83 \\ _Charles R Greathouse IV_, Jun 17 2017

%K nonn,easy

%O 0,1

%A _Tony Herrys Silva Rabelo_, Jan 27 2013

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Last modified July 27 11:51 EDT 2021. Contains 346304 sequences. (Running on oeis4.)