Found with PFGW Version 3.6.0

3702^5131-5131^3702 is 2-PRP! (14.8890s+0.0023s)
3702^5131-5131^3702 is 3-PRP! (15.0821s+0.0028s)
3702^5131-5131^3702 is 5-PRP! (14.8302s+0.0048s)
3702^5131-5131^3702 is 7-PRP! (16.0943s+0.0019s)
3702^5131-5131^3702 is 11-PRP! (15.3530s+0.0019s)

Primality testing 3702^5131-5131^3702 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.10% and helper 0.07% (0.36% proof)
3702^5131-5131^3702 is Fermat and Lucas PRP! (69.4017s+0.0032s)

To be completed...