Write all twin prime numbers from 51 to 100.

Twin prime numbers are pairs of prime numbers that have a difference of two. For example, (3, 5) and (11, 13) are twin primes. To find all twin prime numbers between 51 and 100, we first need to identify the prime numbers in that range and then check which of them form twin pairs.

Identifying Prime Numbers from 51 to 100

Prime numbers are those greater than 1 that have no divisors other than 1 and themselves. Let's list the prime numbers between 51 and 100:

• 53
• 59
• 61
• 67
• 71
• 73
• 79
• 83
• 89
• 97

Finding Twin Primes

Now that we have our list of prime numbers, we can check for twin primes by looking for pairs that differ by two:

• (53, 55) - 55 is not prime.
• (59, 61) - Both are prime, so this is a twin prime pair.
• (61, 63) - 63 is not prime.
• (67, 69) - 69 is not prime.
• (71, 73) - Both are prime, so this is another twin prime pair.
• (79, 81) - 81 is not prime.
• (83, 85) - 85 is not prime.
• (89, 91) - 91 is not prime.
• (97, 99) - 99 is not prime.

Final List of Twin Primes

From our analysis, the twin prime pairs between 51 and 100 are:

• (59, 61)
• (71, 73)

In summary, the twin prime numbers from 51 to 100 are 59 and 61, as well as 71 and 73. Understanding how to identify these pairs not only enhances your knowledge of prime numbers but also sharpens your problem-solving skills in number theory.