data/problems/268.yml
---
:id: 268
:name: Counting numbers with at least four distinct prime factors less than 100
:url: https://projecteuler.net/problem=268
:content: |+
It can be verified that there are 23 positive integers less than 1000 that are divisible by at least four distinct primes less than 100.
Find how many positive integers less than 10<sup>16</sup> are divisible by at least four distinct primes less than 100.