5167

This number is a prime.

1 + 2*3 + 4*5*6 + 7*8*9*10 = 5167 is prime. [Poo Sung]

A prime expressed as 7! + 5! + 3! + 1!. [Patterson]

Obtained by subtracting one from the sum of the factorials of all single-digit primes. [Silva]

The largest prime less than a googol of the form p!+q!+q, where p, q are consecutive primes. [Loungrides]