Found with PFGW Version 3.8.0

1158^12631-12631^1158 is 2-PRP! (26.6819s+0.0063s)
1158^12631-12631^1158 is 3-PRP! (26.5893s+0.0073s)
1158^12631-12631^1158 is 5-PRP! (26.7748s+0.0072s)
1158^12631-12631^1158 is 7-PRP! (26.6094s+0.0155s)
1158^12631-12631^1158 is 11-PRP! (26.7254s+0.0073s)

Primality testing 1158^12631-12631^1158 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.07% proof)
1158^12631-12631^1158 is Fermat and Lucas PRP! (156.9582s+0.0113s)

To be completed...