(conj) will add items to different places in the collection, depending
on the type of the collection.  For a set, this can be at either the
end OR the beginning.

For this problem, the output is built by:

(conj (conj (conj #{6857} 1471) 839) 71)

which is equivalent to:

(-> #{6857} (conj 1471) (conj 839) (conj 71))

The innermost/first conj, (conj #{6857} 1471), sticks 1471 at the end
and produces #{6857 1471}.  The next conj sticks 839 at the beginning
and produces #{839 6857 1471}.  The final conj sticks 71 at the
beginning and produces the final result of #{71 839 6857 1471}.

When ordering matters, I usually use either (cons), which will always
add to the beginning regardless of the collection type, or use (conj)
with a list (will always add to the beginning) or vector (will always
add to the end).

user=> (-> '(6857) (conj 1471) (conj 839) (conj 71))
(71 839 1471 6857)
user=> (-> [6857] (conj 1471) (conj 839) (conj 71))
[6857 1471 839 71]

On Jan 13, 8:09 am, Vitaly Peressada <vit...@ufairsoft.com> wrote:
> The following solution by <b>mtgred</b> for <a href="http://clojure-
> euler.wikispaces.com/">Project Euler Clojure</a> problem 003 uses
> implicit recursion.
>
> <pre>
> (use '[clojure.contrib.lazy-seqs :only (primes)])
> (defn prime-factors [n]
>   (let [f (some #(if (= 0 (rem n %)) %) primes)]
>     (if (= f n) #{f} (conj (prime-factors (/ n f)) f))))
> (apply max (prime-factors 600851475143))
> </pre>
>
> Here is above with added println
>
> (defn prime-factors [n]
>   (let [f (some #(if (= 0 (rem n %)) %) primes)]
>     (println "n:" n ", f:" f)
>     (if (= f n)
>       #{f}
>       (conj (prime-factors (/ n f)) f))))
>
> Which produces
>
> n: 600851475143 , f: 71
> n: 8462696833 , f: 839
> n: 10086647 , f: 1471
> n: 6857 , f: 6857
> #{71 839 6857 1471}
>
> Can anybody explain why 6857 comes 3rd? I would expect to be the last.

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