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A positive integer is called terrific if it has exactly 5 positive divisors. What is the smallest number of primes that could divide a terrific positive integer?

 
 Oct 18, 2024
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A positive integer is called terrific if it has exactly 5 positive divisors. What is the smallest number of primes that could divide a terrific positive integer?  

 

The smallest number of prime divisors is one.     

As an example, 16 has 5 positive divisors:  1, 2, 4, 8, 16.  2 is a prime number.    

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 Oct 18, 2024

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