Mursalin's Magnificent Mustache and his Magical RazorNumber Theory Level 3
However, he just so happens to have a magical razor with an infinite amount of blades. Each blade is assigned a number from 1 to \(\aleph_0\) such that each blade cuts every hair which is a multiple of that razor's number. The first blade is defective and only cuts the first hair then breaks.
What is the number on the blade that cuts the last hair?