Found with PFGW Version 3.8.0

2890^13131-13131^2890 is 2-PRP! (39.4314s+0.0067s)
2890^13131-13131^2890 is 3-PRP! (39.5835s+0.0058s)
2890^13131-13131^2890 is 5-PRP! (39.4272s+0.0055s)
2890^13131-13131^2890 is 7-PRP! (39.3614s+0.0061s)
2890^13131-13131^2890 is 11-PRP! (39.4378s+0.0065s)

Primality testing 2890^13131-13131^2890 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
2890^13131-13131^2890 is Fermat and Lucas PRP! (235.6776s+0.0055s)

To be completed...