Found with PFGW Version 3.7.5

1157^6918-6918^1157 is 2-PRP! (16.0389s+0.0021s)
1157^6918-6918^1157 is 3-PRP! (17.4460s+0.0022s)
1157^6918-6918^1157 is 5-PRP! (16.0725s+0.0029s)
1157^6918-6918^1157 is 7-PRP! (16.3562s+0.0019s)
1157^6918-6918^1157 is 11-PRP! (17.0111s+0.0023s)

Primality testing 1157^6918-6918^1157 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N-1 test using base 19
Running N-1 test using base 23
Running N+1 test using discriminant 37, base 14+sqrt(37)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
1157^6918-6918^1157 is Fermat and Lucas PRP! (117.1063s+0.0037s)

To be completed...