Found with PFGW Version 3.7.5

97^19937-96 is 2-PRP! (22.4486s+0.0027s)
97^19937-96 is 3-PRP! (22.1974s+0.0032s)
97^19937-96 is 5-PRP! (24.2819s+0.0032s)
97^19937-96 is 7-PRP! (22.8868s+0.0040s)
97^19937-96 is 11-PRP! (25.1713s+0.0034s)

Primality testing 97^19937-96 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 9+sqrt(19)
Calling N-1 BLS with factored part 0.27% and helper 0.01% (0.81% proof)
97^19937-96 is Fermat and Lucas PRP! (155.5858s+0.0045s)

To be completed...