11111...11119 (720-digits)

This number is a probable-prime (likely to be a prime but we have not (re-)proven it on this site).

A near-repunit non-titanic prime P consisting of seven hundred-nineteen 1's followed by a digit 9 found in the sequence of primes: 19, 11119, 111119, 11111119, 11111111111111119, 11111111111111111111111111111111111111111111111119, etc. [Bajpai]