A Sophie Germain Prime is a special type of prime number that has a unique property. If p is a prime number, then 2p + 1 must also be a prime number for p to be classified as a Sophie Germain Prime. For example, if p = 5 , then 2 \times 5 + 1 = 11 , which is also prime. These primes are named after the French mathematician Sophie Germain, who made significant contributions to number theory in the early 19th century. Sophie Germain Primes are important in various fields, including cryptography, where they help secure digital communications.