you've found. Perhaps they are quite good given the smallness of the

coefficients, though! Most of the examples below have much larger

coefficients than just 0 and 1.

For some really excellent ones, take a look at

http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html

http://www.maa.org/editorial/mathgames/mathgames_07_17_06.html

or toward the bottom of

http://euler.free.fr/contest/PGPReport.htm

where they give polynomials both with integer and rational coefficients,

and which give lots of consecutive primes,

or which give a relatively high proportion of primes in some range

like x = 0 to 1000 ...

--Joshua Zucker