A392928 Prime generating polynomial: a(n) = 32502 n^2 - 1727988 n + 24009847.

24009847, 22314361, 20683879, 19118401, 17617927, 16182457, 14811991, 13506529, 12266071, 11090617, 9980167, 8934721, 7954279, 7038841, 6188407, 5402977, 4682551, 4027129, 3436711, 2911297, 2450887, 2055481, 1725079, 1459681, 1259287, 1123897, 1053511, 1048129, 1107751, 1232377, 1422007

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..30.

Eric Weisstein's World of Mathematics, Prime-Generating Polynomial.

Mathematica

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

Crossrefs

Cf. A005846.

Sequence in context: A104922 A058323 A179586 * A251248 A135954 A386810

Adjacent sequences: A392925 A392926 A392927 * A392929 A392930 A392931

Keyword

nonn,easy,less

Author

Harma H. Kruizinga and Hilko Koning, Jan 27 2026

Status

approved