OFFSET
1,1
COMMENTS
The polynomial 4*k^2 + 84*k + 43 has prime values for k from 0 to 16. The proportion of prime numbers (23.28%) obtained among the first ten million values is slightly higher than that (22.08%) obtained with Euler's polynomial k^2 - k + 41.
The polynomial 4*k^2 + 84*k + 43 produces a Hardy-Littlewood constant of 7.3291180993696....
LINKS
Eric Weisstein's World of Mathematics, Prime generating polynomial
MATHEMATICA
Select[Table[4k^2+84k+43, {k, 0, 60}], PrimeQ] (* Harvey P. Dale, May 07 2023 *)
CROSSREFS
KEYWORD
nonn,less
AUTHOR
Charles Delaporte, Aug 24 2022
STATUS
approved