(1080 - 80)/80 is prime.
80^(80+1) + (80+1)^80 is prime.
The largest natural number n such that all prime factors of
n and n+1 are smaller or equal to the prime digit 5. [Capelle]
The only two-digit integer n that yields a prime in the
form n^(n+1)+(n+1)^n. [Silva]
The smallest integer n such that both n and n+1 are products of at least 4 primes. [Post]