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Task/AKS-test-for-primes/Clojure/aks-test-for-primes.clj

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+(defn c
+  "kth coefficient of (x - 1)^n"
+  [n k]
+  (/ (apply *' (range n (- n k) -1))
+     (apply *' (range k 0 -1))
+     (if (and (even? k) (< k n)) -1 1)))
+
+(defn cs
+  "coefficient series for (x - 1)^n, k=[0..n]"
+  [n]
+  (map #(c n %) (range (inc n))))
+
+(defn aks? [p] (->> (cs p) rest butlast (every? #(-> % (mod p) zero?))))
+
+(println "coefficient series n (k[0] .. k[n])")
+(doseq [n (range 10)] (println n (cs n)))
+(println)
+(println "primes < 50 per AKS:" (filter aks? (range 2 50)))