14878...36799 (109-digits)

This number is a prime.

                                  148781564 7197611695 9103126817 4127357033
2356717154 7989498984 9830508638 7315423300 9996547575 6192863330 5897036799

The only known prime of the form n^2^n-2 (n=7). The next such prime has more than 38538 digits. [Firoozbakht]