Found with PFGW Version 3.7.5

7229^9182-9182^7229 is 2-PRP! (22.3345s+0.0021s)
7229^9182-9182^7229 is 3-PRP! (22.4621s+0.0017s)
7229^9182-9182^7229 is 5-PRP! (22.2810s+0.0018s)
7229^9182-9182^7229 is 7-PRP! (22.4670s+0.0018s)
7229^9182-9182^7229 is 11-PRP! (22.3908s+0.0018s)

Primality testing 7229^9182-9182^7229 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 7+sqrt(11)
Calling N+1 BLS with factored part 0.05% and helper 0.02% (0.16% proof)
7229^9182-9182^7229 is Fermat and Lucas PRP! (115.2028s+0.0027s)

To be completed...