Question

25 POINTS!!

Let's call three prime numbers "cool" if their product is five times greater than their sum. How many "cool" triples are there?
Also for Bonus:
David did not notice the multiplication sign between two three-digit numbers and wrote one six-digit number, which is equal to seven times their product. Find these numbers.

Answer 1

I know the answer to the first one, but not the second. There is 1 "cool" triple. hope this helps!