Divisible Prime Times

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How many positive integers below 1000 have p p positive divisors, where p p is a prime number?


The answer is 184.

Ryan Phua by Ryan Phua , 22, Singapore

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1 solution

Numbers having p p divisors Kind of numbers Number of numbers
2 Primes 168
3 Squares of Primes 11
5 4th power of primes 3
7 6th power of primes 2
11 10th power of primes 0

So there are 168 + 11 + 3 + 2 = 184 168+11+3+2=184

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