Found with PFGW Version 3.7.5

4927^7266-7266^4927 is 2-PRP! (46.0252s+0.0067s)
4927^7266-7266^4927 is 3-PRP! (46.5751s+0.0054s)
4927^7266-7266^4927 is 5-PRP! (47.0025s+0.0059s)
4927^7266-7266^4927 is 7-PRP! (46.1711s+0.0050s)
4927^7266-7266^4927 is 11-PRP! (59.2462s+0.0084s)

Primality testing 4927^7266-7266^4927 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.06% and helper 0.05% (0.24% proof)
4927^7266-7266^4927 is Fermat and Lucas PRP! (224.3265s+0.0061s)

To be completed...