I don't think there are 3 numbers that can do this. 1, 2, 3, 5, 7, 11, 13, 17, 19, etc are the primes. 2x5 is 10, but then you need 4, which isn't prime. This is the same with any other combos i've tried.
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3 and 19
293 is already prime. Those numbers don't exist.
2 3 3 7
They are: 2*3*5 = 30
3*19