Found with PFGW Version 3.7.5

1029^9440-9440^1029 is 2-PRP! (27.0893s+0.0027s)
1029^9440-9440^1029 is 3-PRP! (25.3432s+0.0021s)
1029^9440-9440^1029 is 5-PRP! (25.4351s+0.0027s)
1029^9440-9440^1029 is 7-PRP! (27.9762s+0.0088s)
1029^9440-9440^1029 is 11-PRP! (27.7456s+0.0033s)

Primality testing 1029^9440-9440^1029 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 11
Running N-1 test using base 19
Running N-1 test using base 23
Running N-1 test using base 29
Running N-1 test using base 31
Running N+1 test using discriminant 43, base 1+sqrt(43)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.11% proof)
1029^9440-9440^1029 is Fermat and Lucas PRP! (255.2928s+0.0033s)

To be completed...