Found with PFGW Version 3.6.0

751^5138-5138^751 is 2-PRP! (10.3976s+0.0019s)
751^5138-5138^751 is 3-PRP! (10.6870s+0.0022s)
751^5138-5138^751 is 5-PRP! (10.2496s+0.0015s)
751^5138-5138^751 is 7-PRP! (11.1618s+0.0018s)
751^5138-5138^751 is 11-PRP! (10.3844s+0.0016s)

Primality testing 751^5138-5138^751 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.12% proof)
751^5138-5138^751 is Fermat and Lucas PRP! (47.3328s+0.0030s)

To be completed...