Are there infinitely many prime triplets?
6
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2101
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A prime triplet is a set of three primes such that the largest and smallest prime in the set differ by exactly 6. If none of the primes are 3, this is the smallest possible difference, making them analogous to twin primes.
This would imply the twin prime conjecture, the cousin prime conjecture, and the sexy prime conjecture, since every prime triplet contains a pair of each.
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