The largest member in a set of twin primes generated by the
formula (N^3 + 11N) + 1, for N = 1 to 9. [Homewood]
The largest 3-digit prime abc with distinct digits such that a^a + b^b + c^c is prime. [Loungrides]
The summatory Liouville function reaches a maximum value of 829 in the region where the Pólya conjecture first fails.