One of the fascinating properties of prime numbers is their ability to appear in pairs with specific differences. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. When two prime numbers have a difference of 2, they are often referred to as ‘twin primes.’
Here are three pairs of prime numbers whose difference is 2:
- (3, 5)
- (5, 7)
- (11, 13)
To explain further:
- The first pair, (3, 5): Both 3 and 5 are prime, and their difference is 5 – 3 = 2.
- The second pair, (5, 7): Here, 5 and 7 are both prime numbers, and their difference is 7 – 5 = 2.
- The third pair, (11, 13): Similarly, 11 and 13 are prime, and their difference is 13 – 11 = 2.
These pairs illustrate the intriguing occurrences of twin primes in the set of natural numbers, which remain a topic of interest among mathematicians.