There are three sets A, B, and C containing a total of 13 unique integers. The total number of prime numbers among all sets is n . Set A has 4 numbers...
Question
There are three sets A, B, and C containing a total of 13 unique integers. The total number of prime numbers among all sets is n. Set A has 4 numbers, and the product of its smallest and largest numbers is 26. Set B has 5 numbers, with exactly 2 prime numbers and the rest composite. Set C has 4 numbers, and the product of its smallest and largest numbers is 23, which is the highest number among all three sets.
If Set C contains the highest number of prime numbers, what is the minimum possible value of n?