11, 13, 17, 19, 23 and 29.
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There are only four prime numbers less than 10. They are 2, 3, 5 and 7.
Searching in Google for "list of prime numbers" should help you get a listing. From there you can pick the prime numbers that satisfy your criteria.
11 13 17 19 23 29.
No because they are: 2 3 5 and 7
10 does not have 6 prime numbers.