Found with PFGW Version 3.8.0

3127^13148-13148^3127 is 2-PRP! (38.6316s+0.0237s)
3127^13148-13148^3127 is 3-PRP! (39.2684s+0.0096s)
3127^13148-13148^3127 is 5-PRP! (39.2137s+0.0100s)
3127^13148-13148^3127 is 7-PRP! (39.3452s+0.0185s)
3127^13148-13148^3127 is 11-PRP! (39.3038s+0.0097s)

Primality testing 3127^13148-13148^3127 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 10+sqrt(11)
Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.06% proof)
3127^13148-13148^3127 is Fermat and Lucas PRP! (194.7378s+0.0097s)

To be completed...