The twin primes between 1 and 100 are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), and (71, 73).
A twin prime is a pair of prime numbers that differ by 2. To identify them within the range of 1 to 100, we first need to recall what a prime number is. A prime number is a whole number greater than 1 that has only two divisors: 1 and itself.
Here's a breakdown of how we can find these twin primes:
- List Prime Numbers between 1 and 100: The prime numbers in this range are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.
- Identify Pairs with a Difference of 2: We then examine this list and look for pairs where the difference between two consecutive prime numbers is exactly 2.
This process results in the twin prime pairs listed at the beginning of this explanation.
