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    Question

    Twin prime numbers are the prime numbers whose

    difference is always equal to 2. The number of twin primes between 35 and 100 is:
    A 2 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    To find the number of twin primes between 35 and 100, we first need to identify all the prime numbers in this range and then check for pairs whose difference is 2. Prime numbers between 35 and 100: 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 Twin prime pairs:   (37, 39) = Not a twin prime, since 39 is not prime. (41, 43) = Difference is 2. This is a twin prime.   (43, 45) = Not a twin prime, since 45 is not prime.   (47, 49) = Not a twin prime, since 49 is not prime.   (53, 55) = Not a twin prime, since 55 is not prime.   (59, 61) = Difference is 2. This is a twin prime.   (67, 69) = Not a twin prime, since 69 is not prime.   (71, 73) = Difference is 2. This is a twin prime. (79, 81) = Not a twin prime, since 81 is not prime.   (83, 85) = Not a twin prime, since 85 is not prime. (89, 91) = Not a twin prime, since 91 is not prime. (97, 99) = Not a twin prime, since 99 is not prime. Twin prime pairs identified:   (41, 43)   (59, 61)   (71, 73) Number of twin primes between 35 and 100  There are 3 twin prime pairs in this range.

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