Found with PFGW Version 3.8.0

6057^13462-13462^6057 is 2-PRP! (48.9320s+0.0060s)
6057^13462-13462^6057 is 3-PRP! (49.7792s+0.0057s)
6057^13462-13462^6057 is 5-PRP! (48.8595s+0.0102s)
6057^13462-13462^6057 is 7-PRP! (48.8558s+0.0068s)
6057^13462-13462^6057 is 11-PRP! (49.6766s+0.0071s)

Primality testing 6057^13462-13462^6057 [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 0.03% and helper 0.02% (0.11% proof)
6057^13462-13462^6057 is Fermat and Lucas PRP! (282.2878s+0.0061s)

To be completed...