Largest known prime quadruplet

It is suspected that there are infinitely many s, although this has never been proven.
The largest known prime quadruplet is equal to (p, p + 2, p + 6, p + 8), where p = 667,674,063,382,677 · 233,608 − 1.https://primes.utm.edu/top20/page.php?id=55
If the infinitude of prime quadruplets is proven, this proves the infinitude of , , , and (p, p+8) pairs.
== Sources ==
Category:Numbers
Category:Class 2
Category:Numbers with 1000 to 1000000 digits
Category:Numerical records
Category:Prime numbers
Category:Dynamic googolisms