Found with PFGW Version 3.6.0

7404^10091-10091^7404 is 2-PRP! (79.5098s+0.0033s)
7404^10091-10091^7404 is 3-PRP! (78.8365s+0.0036s)
7404^10091-10091^7404 is 5-PRP! (78.8190s+0.0058s)
7404^10091-10091^7404 is 7-PRP! (78.9017s+0.0049s)
7404^10091-10091^7404 is 11-PRP! (80.2054s+0.0036s)

Primality testing 7404^10091-10091^7404 [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 0.03% and helper 0.02% (0.11% proof)
7404^10091-10091^7404 is Fermat and Lucas PRP! (371.7756s+0.0056s)

To be completed...