
How to generate prime numbers in cryptography?
Could you please elaborate on the process of generating prime numbers in cryptography? What are the key steps involved, and why are prime numbers so crucial in ensuring the security of cryptographic systems? Are there any specific algorithms or techniques that are commonly used for this purpose, and how do they work? Additionally, what are some of the challenges that one might face when generating prime numbers for cryptographic purposes, and how can these challenges be overcome?
