3 proper 5

Number Theory Level 4

Find the number of positive integers from 1 to 99999 inclusive that have exactly \(3\) proper divisors.

Details and assumptions

If \(n\) is a positive integer, a proper divisor of \(n\) is an integer \(d\) such that \(1<d<n\) and \(d\) divides \(n\).

You may choose to read Divisors of an Integer.


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