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Write Seven consecutive composite numbers less than 100 so that there is no prime number between them.?
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Seven Consecutive Composite Numbers Less Than 100 With No Prime Number Between Them



  • First, let us define what composite numbers are. Composite numbers are positive integers that have more than two factors.

  • For example, 4 is a composite number because it can be divided by 1, 2, and 4. In contrast, 3 is a prime number because it can only be divided by 1 and 3.

  • To find seven consecutive composite numbers less than 100, we need to look for numbers that are divisible by at least three distinct factors.

  • One way to do this is to start with the number 4 and add 2 repeatedly until we have a sequence of seven consecutive composite numbers.

  • Here are the seven consecutive composite numbers we get using this method:


    • 4, 6, 8, 10, 12, 14, 16


  • Notice that there are no prime numbers between these numbers.

  • All the numbers in this sequence are divisible by 2, so they are all composite.

  • Another way to find seven consecutive composite numbers is to start with the number 9 and add 6 repeatedly.

  • This gives us the following sequence of seven consecutive composite numbers:


    • 9, 15, 21, 27, 33, 39, 45


  • Again, there are no prime numbers between these numbers.

  • All the numbers in this sequence are divisible by 3, so they are all composite.



Conclusion



  • We can find seven consecutive composite numbers less than 100 by starting with a composite number and adding a multiple of its smallest factor.

  • In this way, we can ensure that there are no prime numbers between the consecutive composite numbers.

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Write Seven consecutive composite numbers less than 100 so that there is no prime number between them.?
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