Twin primes are pairs of prime numbers that differ by exactly 2. For example, (3, 5), (5, 7), and (11, 13) are twin primes because the difference between the numbers in each pair is 2. Twin primes are also called prime pairs or prime twins. The difference of 2 means there is exactly one composite number between the two primes. Prime numbers are natural numbers greater than 1 that have only two factors: 1 and the number itself. The twin prime pairs always have this difference of 2, making them special pairs in number theory. Some properties of twin primes include:
- The difference between the twin primes is always 2.
- The prime number 5 is the only prime appearing in two twin prime pairs: (3, 5) and (5, 7).
- It is conjectured (the Twin Prime Conjecture) that there are infinitely many twin primes.
Examples of twin prime pairs include (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), and many more.
