It is suspected that there are infinitely many prime triplets, although this has never been proven.

The largest known prime triplet is equal to (p, p + 2, p + 6), where p = 4,111,286,921,397 · 266,420 - 1 at the time when it was found on Apr 2019.[1]

The largest known prime triplet of the form (p, p + 4, p + 6) has p = 6,521,953,289,619 · 255,555 − 5 at the time when it was found on Apr 2013.[1]

Sources

  1. 1.0 1.1 The Top Twenty: Triplet Retrieved on 2020-10-08.
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