1 and 2
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The lowest two prime numbers are: 2 & 3.
The knowledge of prime numbers is useful when finding the lowest common multiple or the highest common factor of two or more numbers.
6
It is impossible for the product of two prime numbers to be prime. It is impossible for the sum of two prime numbers to be prime as long as one of the numbers isn't 2.
The lowest two-digit prime number is 11.11.