A Safe Prime is a special type of prime number that is used in cryptography. It is defined as a prime number p such that p = 2q + 1 , where q is also a prime number. This means that when you subtract one from the safe prime and divide by two, you get another prime number. Safe primes are important because they help create secure cryptographic systems. In cryptography, safe primes are often used in algorithms like the Diffie-Hellman key exchange and the RSA algorithm. Their structure makes them useful for generating strong keys that are difficult to break. By using safe primes, cryptographic systems can enhance security and protect sensitive information from unauthorized access.