Certainly! Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. Pairs of prime numbers that differ by 2 are often referred to as twin primes. Here are three pairs:
- (3, 5): Both 3 and 5 are prime numbers, and their difference is 2.
- (5, 7): The numbers 5 and 7 are prime, and again their difference is 2.
- (11, 13): Lastly, 11 and 13 are both prime numbers with a difference of 2.
Twin primes are of great interest in number theory, and although there are infinitely many prime numbers, it remains an open question in mathematics whether there are infinitely many twin primes. Each of the pairs listed exemplifies this interesting characteristic of prime numbers!