Third problem: Largest prime factor

Largest prime factor
The prime factors of 13195 are 5, 7, 13 and 29.

What is the largest prime factor of the number 600851475143?

I am partial to a very simple code to find prime numbers… without actually storing any prime numbers anywhere. It goes like this in julia:

function helper(x,n)
if x==1
return n
elseif x%n==0
return helper(x/n,n)
else
return helper(x,n+1)
end
end

largestprimefactor=x->helper(x,2)


This can then be used to obtain our answer:

julia> largestprimefactor(600851475143)
6857