Verified by LLR (strong-Fermat, Lucas and Frobenius PRP)
This number is the 184764th (and likely the 70th-largest or 71st-largest or 72nd-largest) "base 34 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...