Found with PFGW Version 3.8.0

751^12690-12690^751 is 2-PRP! (24.0730s+0.0080s)
751^12690-12690^751 is 3-PRP! (23.8437s+0.0083s)
751^12690-12690^751 is 5-PRP! (23.8331s+0.0069s)
751^12690-12690^751 is 7-PRP! (23.8339s+0.0133s)
751^12690-12690^751 is 11-PRP! (23.8452s+0.0086s)

Primality testing 751^12690-12690^751 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 8+sqrt(23)
Calling N-1 BLS with factored part 0.05% and helper 0.01% (0.15% proof)
751^12690-12690^751 is Fermat and Lucas PRP! (119.7360s+0.0080s)

To be completed...