500 Problem 500.sf

#!/usr/bin/ruby

# Author: Trizen
# Date: 21 September 2016
# Translated: 16 November 2023
# https://github.com/trizen

# https://projecteuler.net/problem=500

# Runtime: 2.753s

func first_n_factors(n) {

    var limit   = n.ilog2*n     # overshoots a little bit
    var factors = limit.primes

    n.each_prime {|p|
        while ((p **= 2) <= limit) {
            factors << p
        }
    }

    factors.sort!
    factors.first(n)
}

var p   = 1
var mod = 500500507
var pow = 500500

for f in (first_n_factors(pow)) {
    p = mulmod(p, f, mod)
}

say p