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Let's call three prime numbers "cool" if their product is five times greater than their sum. How many "cool" triples are there?

 Nov 1, 2020
 #1
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There are 3 cool triples.

 Nov 1, 2020
 #2
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I could find only one triplet:

 

[2  x  5  x  7] / [ 2  +  5  +  7] ==5

 Nov 1, 2020

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