The concatenation of first 4 primes with index a power of 2 is a prime (1st, 2nd, 4th, and 8th prime). [Murthy]
The largest prime number with distinct digits in English
alphabetical reverse order (Two, Three, Seven, One, Nine).
[See PC 5491763]. [Loungrides]
(There is one curio for this number that has not yet been approved by an editor.)