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How many prime numbers exist between:

A) 1 and 10?

B) 1 and 20?

C) 20 and 40?

D) 40 and 80?

E) 80 and 100?

Please find below the solution to the asked query:

We know : A prime number is a whole number greater than 1 whose only factors are 1 and itself.

Prime numbers in between :

A) 1 and 10 = 2 , 3 , 5 , 7 , So there are

**four**prime numbers in between 1 and 10 .

B) 1 and 20 = 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , So there are

**eight**prime numbers in between 1 and 20 .

C) 20 and 40 = 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , So there are

**eight**prime numbers in between 20 and 40 .

D) 40 and 80 = 41 , 43 , 47 , 53 , 59 , 61 , 67 , 71 , 73 , 79 , So there are

**ten**prime numbers in between 40 and 80 .

E) 80 and 100 = 83 , 89 , 97 , So there are

**three**prime numbers in between 80 and 100 .

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