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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:

The correct answer is

3

Twin prime numbers are pairs of prime numbers that differ by 2. Let's list the prime numbers between 35 and 100: 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 The twin prime pairs are: (37, 41), (41, 43), (59, 61), (71, 73) There are 4 twin prime pairs.

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Important Questions from Number System

  1. Consider the following statements :

    1. (25)! + 1 is divisible by 26

    2. (6)! + 1 is divisible by 7

    Which of the above statements is/are correct ?

  2. If the sum S is divided by 8, what is the remainder ?  

  3. If the sum S is divided by 60, what is the remainder ?

  4. Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.

  5. How many composite numbers are there from 53 to 97 ?

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