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2 x 2 x 5 = 20
Since there are infinitely many primes, there are infinitely many numbers that are products of 3 primes.
Sure. All composite numbers can be written as a product of primes. It shouldn't be tough to find a composite number that's the sum of three other composite numbers. Let's try 30. 2 x 3 x 5 = 30 Product of primes, check. 6 (2 x 3) + 10 (2 x 5) + 14 (2 x 7) = 30 Sum of three products of primes, check.
There are 9 prime numbers between 0 and 20: 1,2,3,5,7,11,13,17,19.
The primes are 23, 29, and 31.