They are infinite, starting with: 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 . . .
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There are no prime numbers greater than 10 that add up to 29. Since all prime numbers greater than 2 are odd numbers, no two prime numbers greater than 2 can have an even number for their sum.
No. Prime numbers cannot be composite and composite numbers cannot be prime!
All numbers greater than 2 are composites, not prime numbers.
All prime numbers except 2, 3 and 5 are greater than 6.
Even numbers greater than 2 can't be prime. Multiples of 5 greater than 5 can't be prime.