Fast Prime Number Generation in Clojure

Question

I\'ve been working on solving Project Euler problems in Clojure to get better, and I\'ve already run into prime number generation a couple of times. My problem is that it is

Answer 1

Here's another approach that celebrates Clojure's Java interop. This takes 374ms on a 2.4 Ghz Core 2 Duo (running single-threaded). I let the efficient Miller-Rabin implementation in Java's BigInteger#isProbablePrime deal with the primality check.

(def certainty 5)

(defn prime? [n]
      (.isProbablePrime (BigInteger/valueOf n) certainty))

(concat [2] (take 10001 
   (filter prime? 
      (take-nth 2 
         (range 1 Integer/MAX_VALUE)))))

The Miller-Rabin certainty of 5 is probably not very good for numbers much larger than this. That certainty is equal to 96.875% certain it's prime (1 - .5^certainty)