The Locker Riddle

The video presents a puzzle involving 100 lockers and relatives, where the goal is to determine which lockers remain open after a sequence of opening and closing actions based on factorization. The key to solving the puzzle lies in understanding that lockers with odd numbers of factors, specifically perfect squares, remain open. The final challenge involves deciphering a clue related to prime numbers to unlock a vault.

What are prime numbers and how do they relate to the puzzle?

Describe the process of how the first five prime numbers were determined in the context of the puzzle.

What was the final code used to unlock the vault, and how was it derived?