Found with PFGW Version 3.7.5

3902^7585-7585^3902 is 2-PRP! (24.9442s+0.0020s)
3902^7585-7585^3902 is 3-PRP! (25.1025s+0.0012s)
3902^7585-7585^3902 is 5-PRP! (22.6536s+0.0011s)
3902^7585-7585^3902 is 7-PRP! (25.9573s+0.0014s)
3902^7585-7585^3902 is 11-PRP! (30.0353s+0.0011s)

Primality testing 3902^7585-7585^3902 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.06% and helper 0.04% (0.23% proof)
3902^7585-7585^3902 is Fermat and Lucas PRP! (167.6653s+0.0030s)

To be completed...