Slightly Prime 2

Number Theory Level pending

If we define a slightly prime number is the number have exactly 3 factor not include itself, then how many slightly prime number have 3 digits?

Inspiration


The answer is 259.

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1 solution

Tran Hieu
Apr 15, 2016

The slightly prime number could be in two form, either product of two prime, or cube of a prime.

To count the first type, we first count the product of 2 and another prime (note that 2 x 2 is not satisfy). The total product of 2 is from 3 to 499, which are 80... Keep counting

Second type we have only 2 number, 125 and 343.

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