Found with PFGW Version 3.7.5

3720^5327-5327^3720 is 2-PRP! (10.5191s+0.0024s)
3720^5327-5327^3720 is 3-PRP! (12.2824s+0.0032s)
3720^5327-5327^3720 is 5-PRP! (10.5513s+0.0025s)
3720^5327-5327^3720 is 7-PRP! (10.6811s+0.0023s)
3720^5327-5327^3720 is 11-PRP! (11.2892s+0.0022s)

Primality testing 3720^5327-5327^3720 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.05% and helper 0.04% (0.19% proof)
3720^5327-5327^3720 is Fermat and Lucas PRP! (56.2473s+0.0037s)

To be completed...