Found with PFGW Version 3.6.0

1956^4655-4655^1956 is 2-PRP! (10.3644s+0.0034s)
1956^4655-4655^1956 is 3-PRP! (10.8686s+0.0017s)
1956^4655-4655^1956 is 5-PRP! (10.5377s+0.0035s)
1956^4655-4655^1956 is 7-PRP! (10.7503s+0.0032s)
1956^4655-4655^1956 is 11-PRP! (10.7056s+0.0020s)

Primality testing 1956^4655-4655^1956 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 17
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N+1 BLS with factored part 0.06% and helper 0.05% (0.24% proof)
1956^4655-4655^1956 is Fermat and Lucas PRP! (59.5577s+0.0022s)

To be completed...