Why do we memorize prime numbers?

Why is it important for us to memorize prime numbers? Could it be because they play a crucial role in the foundation of modern cryptography, which is essential for protecting our digital transactions and communications? Or is there a more mathematical reason, perhaps related to their unique properties that make them useful in a variety of applications? Additionally, could memorizing prime numbers have any benefits for mental stimulation and cognitive development? It would be interesting to explore the various reasons why we might want to commit these special numbers to memory.