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Prime generating polynomial: a(n) = 32502 n^2 - 1727988 n + 24009847.
0

%I #21 Jan 28 2026 10:31:00

%S 24009847,22314361,20683879,19118401,17617927,16182457,14811991,

%T 13506529,12266071,11090617,9980167,8934721,7954279,7038841,6188407,

%U 5402977,4682551,4027129,3436711,2911297,2450887,2055481,1725079,1459681,1259287,1123897,1053511,1048129,1107751,1232377,1422007

%N Prime generating polynomial: a(n) = 32502 n^2 - 1727988 n + 24009847.

%C This polynomial generates 39 distinct primes in succession from n = 0 to 38.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomial</a>.

%t Select[Table[32502 n^2 - 1727988 n + 24009847, {n, 0, 38}], PrimeQ]

%Y Cf. A005846.

%K nonn,easy,less

%O 0,1

%A Harma H. Kruizinga and _Hilko Koning_, Jan 27 2026