Found with PFGW Version 3.6.0

1061^12440-12440^1061 is 2-PRP! (65.7014s+0.0034s)
1061^12440-12440^1061 is 3-PRP! (65.2313s+0.0043s)
1061^12440-12440^1061 is 5-PRP! (65.2382s+0.0027s)
1061^12440-12440^1061 is 7-PRP! (65.2350s+0.0030s)
1061^12440-12440^1061 is 11-PRP! (65.3901s+0.0044s)

Primality testing 1061^12440-12440^1061 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 7+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
1061^12440-12440^1061 is Fermat and Lucas PRP! (397.7995s+0.0055s)

To be completed...