Found with PFGW Version 3.7.5

105^29591-104 is 2-PRP! (41.5063s+0.0040s)
105^29591-104 is 3-PRP! (45.6395s+0.0037s)
105^29591-104 is 5-PRP! (64.1336s+0.0073s)
105^29591-104 is 7-PRP! (49.6671s+0.0041s)
105^29591-104 is 11-PRP! (52.7303s+0.0053s)

Primality testing 105^29591-104 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 19
Running N-1 test using base 29
Running N-1 test using base 37
Running N-1 test using base 43
Running N+1 test using discriminant 59, base 1+sqrt(59)
Calling N-1 BLS with factored part 0.12% and helper 0.01% (0.38% proof)
105^29591-104 is Fermat and Lucas PRP! (413.4387s+0.0063s)

To be completed...