Pink circles are images of integers under P(x)=(x-x_1)(x-x_2) so none except maybe one are prime numbers (blue dots)
Orange circles are images of integers under F(x)=x²+bx+c. Seek for such quadratics that have many prime images. I found the impressive x²+7x+53, but you may know x²+x+17 (or x²+x+41)
