101 103 107.
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There are an infinite amount of prime numbers that are greater than 100. The first three of those are 101, 103 and 107.
The sum of the first five prime numbers is 28. The sum of the cubes of the first three prime numbers is 160. The average of 28 and 160 is 94.
120
Numbers that have only two factors are prime numbers. You're looking for the next three prime numbers over a certain number. But, you didn't tell us what number the three numbers have to be greater than.
23, 29, 31.