View Single Post
Old 2013-02-17, 03:12   #2
MattcAnderson
 
MattcAnderson's Avatar
 
"Matthew Anderson"
Dec 2010
Oregon, USA

2×19×31 Posts
Default

One quadratic polynomial that merits consideration is
h(n) = n^2 + n + 41
It has the property that h(n) is prime for n=0..39.
Note that h(40) = 40(40 + 1) + 41.
Also, h(n) never has a factor smaller than 40 when n is an integer. I have a proof of this fact.
I put some more results on the web at
https://sites.google.com/site/mattc1anderson/home-1
I have some new results that I have not included on the internet.
MattcAnderson is offline   Reply With Quote