Found with PFGW Version 3.6.0

1164^4153-4153^1164 is 2-PRP! (5.7729s+0.0043s)
1164^4153-4153^1164 is 3-PRP! (5.7538s+0.0016s)
1164^4153-4153^1164 is 5-PRP! (5.7688s+0.0016s)
1164^4153-4153^1164 is 7-PRP! (5.7453s+0.0016s)
1164^4153-4153^1164 is 11-PRP! (5.7816s+0.0041s)

Primality testing 1164^4153-4153^1164 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.11% and helper 0.01% (0.33% proof)
1164^4153-4153^1164 is Fermat and Lucas PRP! (29.5834s+0.0017s)

To be completed...