Question

Write all twin prime numbers from 51 to 100.

Answer 1

Hint: This type of question to solve we should know the definition of twin prime numbers. A twin prime is a prime number that is either 2 less or 2 more than another prime number. In other words, a twin prime is a prime that has a prime gap of two.

Complete step-by-step solution -
Twin prime numbers: Two prime numbers are called twin primes if there is present only one composite number between them. Or we can also say two prime numbers whose difference is two are called twin primes.
For example, (3,5) are twin primes, since the difference between the two numbers 5 – 3 = 2. The alternative names, given to twin primes are prime twin.
(2,3) are not considered as twin primes, since there is no composite number in between them and the difference between the two primes is not equal to 2.
 From the above we definitions writing the twin primes from 51 to 100,
First writing all the prime numbers from 51 to 100,
53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
From the above prime numbers we can say only two twin prime pairs exist, those are (59,61) and (71,73).
Twin primes between 51 and 100 are (59,61) and (71,73).

Note: For the numbers to be twin prime numbers there should be a difference of two between the two prime numbers. For the above question we have got two twin primes from the definition.