The problem is to find the largest prime factor of 600851475143.
Some ugly python and an ugly solution. Clearly not very computationally efficient as I’m recalculating primes each time. There are also other computationally more efficient solutions out there in any case. This is just here for my reference:
import math def getprimes(input): i = input #math.sqrt(input) vals = range(2,int(i)) for n in vals: for j in xrange(n+n,int(i),n): if j in vals: vals.remove(j) vals.reverse() return vals input = 600851475143L primes_max = 100 while 1: primes = getprimes(primes_max) #print primes p = 0 for i in primes: if input%i == 0: print "factor: ",i input = input/i p = 1 if primes_max > math.sqrt(input): if p == 0: print "factor: ",input break primes_max = primes_max + 1000 print primes_max