Twin primes are pairs of prime numbers that differ by two. List the twin prime pairs up to 100

To find the twin prime pairs up to 100, we'll first identify all the prime numbers less than or equal to 100. Then, we will check which pairs of these primes differ by exactly two.

1. List of Prime Numbers Up to 100

The prime numbers less than or equal to 100 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, 97.

2. Identifying Twin Primes

Now, we will check adjacent prime numbers in this list to see which pairs differ by exactly 2.

Twin Prime Pairs

The twin prime pairs up to 100 are:

• (3, 5)
• (5, 7)
• (11, 13)
• (17, 19)
• (29, 31)
• (41, 43)
• (59, 61)
• (71, 73)

Summary

The twin prime pairs up to 100 are: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), and (71, 73). These pairs constitute all related twin primes that satisfy the condition of differing by exactly 2.