Found with PFGW Version 3.7.5

1073^7820-7820^1073 is 2-PRP! (25.6373s+0.0039s)
1073^7820-7820^1073 is 3-PRP! (23.2906s+0.0039s)
1073^7820-7820^1073 is 5-PRP! (24.7870s+0.0052s)
1073^7820-7820^1073 is 7-PRP! (17.1789s+0.0017s)
1073^7820-7820^1073 is 11-PRP! (17.3646s+0.0018s)

Primality testing 1073^7820-7820^1073 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.08% and helper 0.07% (0.31% proof)
1073^7820-7820^1073 is Fermat and Lucas PRP! (142.1271s+0.0059s)

To be completed...