Found with PFGW Version 3.6.0

2720^4119-4119^2720 is 2-PRP! (9.2678s+0.0032s)
2720^4119-4119^2720 is 3-PRP! (9.5805s+0.0018s)
2720^4119-4119^2720 is 5-PRP! (9.5855s+0.0019s)
2720^4119-4119^2720 is 7-PRP! (9.5491s+0.0018s)
2720^4119-4119^2720 is 11-PRP! (9.5606s+0.0033s)

Primality testing 2720^4119-4119^2720 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N+1 BLS with factored part 0.06% and helper 0.03% (0.20% proof)
2720^4119-4119^2720 is Fermat and Lucas PRP! (45.0623s+0.0017s)

To be completed...