r(n) is the n-th repunit and p(n) is the n-th prime.

PFGW Version 20041001.Win_Stable (v1.2 RC1b) [FFT v23.8]

Primality testing r(3042)*3042!+p(3042)
[N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 13, base 1+sqrt(13)
r(3042)*3042!+p(3042) is Fermat and Lucas PRP! (120.7447s+0.0053s)

To be completed...