Largest known cousin primes

It is suspected that there are infinitely many s, although this has never been proven.
The largest known cousin primes are equal to (p, p + 4), where p = (311,778,476 · n · (n + 1) + 210) · (n − 1) / 35 + 1 with n = 587,502 · 9,001# (where # denotes the primorial).
The largest known cousin probable primes are equal to (p, p + 4), where p = 474,435,381 · 298,394 − 5.The Prime Database: 474435381*2^98394-1. The Prime Pages. It is 29,629 digits long.
Its decimal expansion is:
== Sources ==
Category:Numbers
Category:Class 2
Category:Numbers with 1000 to 1000000 digits
Category:Numerical records
Category:Prime numbers
Category:Probable primes
Category:Dynamic googolisms