Verified by LLR (strong-Fermat, Lucas and Frobenius PRP)

Assuming its primality, this number is the largest "base 16 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. In base 16 there are 2347 minimal primes if we only count the primes > base, all but the largest three ((16^116139+619)/5, (4*16^72787+2291)/15, (206*16^32234-11)/15) are definitely primes.

To be completed...