1*1=1, 1+1=2
2 is a product of 1 prime such that every 2 positive integers that multiply to it add up to a prime.
1*2=2, 1+2=3
6=2*3 is a product of 2 primes such that every 2 positive integers that multiply to it add up to a prime.
1*6=6, 1+6=7
2*3=6, 2+3=5
30=2*3*5 is a product of 3 primes such that every 2 positive integers that multiply to it add up to a prime.
1*30=30, 1+30=31
2*15=30, 2+15=17
3*10=30, 3+10=13
5*6=30, 5+6=11
1. What is the smallest product of 4 primes such that every 2 positive integers that multiply to it add up to a prime?
2. What is the smallest product of 5 primes such that every 2 positive integers that multiply to it add up to a prime?
