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A positive integer is interesting if it is a product of two (not necessarily distinct) primes. What is the greatest number of consecutive positive integers all of which are interesting?

 Feb 1, 2022
 #1
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Hint: The consecutive series of positive integers should be numbers that have divisors, e.g. 9 and 10 are consecutive, where 9 = 3 * 3 and 10 = 2 * 5.
 

 Feb 1, 2022
edited by Straight  Feb 1, 2022
 #2
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Wait... Never mind, my hint is wrong, sorry. 

 Feb 1, 2022
 #3
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There are many, many of them such as:

 

 
33  = 3 * 11  
34  = 2 * 17  
35  = 5 * 7  
  
85  = 5 * 17  
86  = 2 * 43  
87  = 3 * 29  
  
  
93  = 3 * 31  
94  = 2 * 47  
95  = 5 *19  

 Feb 1, 2022

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