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Sieve of Eratosthenes in clojure
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(defn multiple? | |
"Check if the number-to-check is a multiple of number." | |
[number-to-check number] | |
(= 0 (mod number-to-check number))) | |
(defn sieve-of-eratosthenes | |
"For the number ranging from 2 to the given number 'upto'(inclusive), | |
filters out all the numbers that are not prime and | |
return the prime numbers." | |
[upto] | |
; Remove if 1 is present in the first | |
(def all-but-one (range 2 (inc upto))) | |
(def limit (Math/sqrt upto)) | |
(loop [curr 2 processed [] remaining all-but-one] | |
(if (> curr limit) | |
(concat processed remaining) | |
(recur (second remaining) ; Move the next number | |
(conj processed curr) ; Add the current to the processed | |
(filter #(not (multiple? % curr)) remaining))))) ; Filter out everything that are multiples | |
; Verification | |
; user=> (sieve-of-eratosthenes (range 1 20)) | |
; (2 3 5 7 11 13 17 19) |
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