Triple prime definition:
Assume a<b<c. a, b, and c form a prime triple just if both the pairs (a, b) and (b, c) are twin primes.
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3, 5, and 7 are triple primes
From Wikipedia ("Prime triplet"): "Similarly to the twin prime conjecture, it is conjectured that there are infinitely many prime triplets." So, it seems that nobody really knows for sure. "It is conjectured" means that it seems reasonable to suppose that there are infinitely many, but that it hasn't been proven yet.
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It is a prime.
There is no need to do prime factorization as prime numbers are already prime.