877

This number is a prime.

The largest 3-digit prime such that 2*3*5*7*11*19*29*37*47*67*103*179*191*223*271*293*317*577*643*673*809*863*877+1 is prime of form 2*3*5*7*11*19*…*a(n-1)* a(n)+1, where n, a(n) and 2*3*5*7*11*19*…*a(n-1)* a(n)+1 are prime, a(n)>a(n-1) and a(n) is minimal. [Loungrides]