Found with PFGW Version 3.7.5

3053^7830-7830^3053 is 2-PRP! (38.5312s+0.0040s)
3053^7830-7830^3053 is 3-PRP! (38.5007s+0.0042s)
3053^7830-7830^3053 is 5-PRP! (38.5473s+0.0050s)
3053^7830-7830^3053 is 7-PRP! (27.7422s+0.0023s)
3053^7830-7830^3053 is 11-PRP! (31.2580s+0.0041s)

Primality testing 3053^7830-7830^3053 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.14% proof)
3053^7830-7830^3053 is Fermat and Lucas PRP! (180.1834s+0.0097s)

To be completed...