11 Jun
2007
11 Jun
'07
12:50 p.m.
X^2 + X + 4 will never produce prime values. mike
Let f(X) be a nonconstant polynomial in Z[X] not of the form
f(X) = g(X) h(X)
where g(X), h(X) are in Z[X] - {1,-1}.
Does there necessarily exist an integer N such that f(N) is a (positive or negative) prime number ?
If so, is there known to be a minimum number m(d) of such N, where d = deg(f) ?
(What if f(X) is further assumed to be monic?)
--Dan