Which is the only known prime triplet?
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The only prime triplet is (3,5,7). In order to see this, we first note that the only prime p which is congruent to 0 (mod 3) is 3 itself.
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Prime Triplet is a set of three prime numbers of the form (p, p+2, p+6) or (p, p+4, p+6). This is the closest possible grouping of three prime numbers, since one of every three sequential odd numbers is a multiple of three, and hence not prime (except for 3 itself) except (2, 3, 5) and (3, 5, 7) .
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