Question

How many positive integers between 1 and 2101 is divisible by a prime number?

Answer 1

Hey buddy

By the definition of a +ve integer , every positive integer is divisible by 2 . Therefore every integer less than 2101 is divisible by at least one prime number in the set.

The formula of finding the number of even integers between 2 and some positive integer greater than 2 is :

n-2/2 +1

substituting 2100 for n and evaluating the expression gives :

2100-2/2+1=2098/2+1=1049+1=1050

Hope it will help u

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