Verified by LLR (strong-Fermat, Lucas and Frobenius PRP)
This number is the 102845th (and likely the 49th-largest or 50th-largest or 51st-largest or 52nd-largest) "base 27 minimal prime" as described on http://primes.utm.edu/glossary/xpage/MinimalPrime.html if we only count the primes > base, see https://github.com/xayahrainie4793/minimal-elements-of-the-prime-numbers for more information.
To be completed...