Found with PFGW Version 3.8.0

5762^12603-12603^5762 is 2-PRP! (42.3168s+0.0071s)
5762^12603-12603^5762 is 3-PRP! (43.5381s+0.0071s)
5762^12603-12603^5762 is 5-PRP! (42.0218s+0.0075s)
5762^12603-12603^5762 is 7-PRP! (42.0841s+0.0077s)
5762^12603-12603^5762 is 11-PRP! (42.2424s+0.0081s)

Primality testing 5762^12603-12603^5762 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
5762^12603-12603^5762 is Fermat and Lucas PRP! (240.6518s+0.0089s)

To be completed...