Found with PFGW Version 3.6.0

341^5048-5048^341 is 2-PRP! (6.0836s+0.0016s)
341^5048-5048^341 is 3-PRP! (6.4243s+0.0017s)
341^5048-5048^341 is 5-PRP! (6.3240s+0.0019s)
341^5048-5048^341 is 7-PRP! (6.2561s+0.0017s)
341^5048-5048^341 is 11-PRP! (6.6143s+0.0016s)

Primality testing 341^5048-5048^341 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.06% and helper 0.05% (0.22% proof)
341^5048-5048^341 is Fermat and Lucas PRP! (31.0375s+0.0035s)

To be completed...