Found with PFGW Version 3.7.5

7212^9145-9145^7212 is 2-PRP! (22.4051s+0.0017s)
7212^9145-9145^7212 is 3-PRP! (22.4540s+0.0017s)
7212^9145-9145^7212 is 5-PRP! (22.2925s+0.0017s)
7212^9145-9145^7212 is 7-PRP! (22.7655s+0.0018s)
7212^9145-9145^7212 is 11-PRP! (22.2225s+0.0019s)

Primality testing 7212^9145-9145^7212 [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 0.02% and helper 0.01% (0.08% proof)
7212^9145-9145^7212 is Fermat and Lucas PRP! (125.4162s+0.0025s)

To be completed...