What is a Sophie Germain prime?
Q: What is a Sophie Germain prime?
A: A Sophie Germain prime is a type of prime number that remains prime after being multiplied by 2 and adding 1 to the answer.
Q: How is a Sophie Germain prime defined mathematically?
A: A prime number denoted by p is a Sophie Germain prime if 2p+1 is also a prime number.
Q: What is a safe prime?
A: 2p+1 is called a safe prime if it is also a prime number.
Q: Who is Sophie Germain?
A: Sophie Germain was a French mathematician who this type of prime number was named after.
Q: Are there an infinite amount of Sophie Germain primes?
A: Many mathematicians believe that there are an infinite amount of Sophie Germain primes, but this has not been proven.
Q: What happens when a prime number is multiplied by 2 and added 1?
A: It results in a Sophie Germain prime if the original prime remains a prime number.
Q: How did the Sophie Germain prime get its name?
A: It was named after the French mathematician Sophie Germain.
