Found with PFGW Version 3.8.0
11057^13226-13226^11057 is 2-PRP! (55.7049s+0.0162s)
11057^13226-13226^11057 is 3-PRP! (55.9359s+0.0111s)
11057^13226-13226^11057 is 5-PRP! (54.8953s+0.0104s)
11057^13226-13226^11057 is 7-PRP! (56.9242s+0.0117s)
11057^13226-13226^11057 is 11-PRP! (56.4365s+0.0131s)
Primality testing 11057^13226-13226^11057 [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 0.02% and helper 0.01% (0.06% proof)
11057^13226-13226^11057 is Fermat and Lucas PRP! (278.0845s+0.0217s)
To be completed...