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A positive integer is called terrific if it has exactly $12$ positive divisors. A positive integer is called fine if it has exactly 2 positive divisors. Which numbers are fine?

 Oct 21, 2024
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A positive integer is called fine if it has exactly 2 positive divisors. Which numbers are fine?    

 

I'll take a stab at it.  I'll say the numbers that are the product of two prime numbers.    

 

For the purpose of my submission, I exclude counting 1 and the number itself as divisors.   

For example, 17 does not count as fine because 1 and 17 itself are disqualified as divisors.   

However, 34 would count as fine because its divisors, i.e., 2 and 17, both are prime numbers.    

.   

 Oct 26, 2024

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