No, the answer is not going to be a Prime number. For example, 2*3=6 which is not a prime number.
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There are no such two prime numbers, as 167 is a prime number itself.
When you multiply two prime numbers together they become factors of the number that they equal. Since the number will have factors other than 1 and itself, the number cannot be prime.
1x31 31 is a prime number
They are: 1*73 = 73 which is a prime number
1 and 17 (17 is a prime number).