Found with PFGW Version 3.6.0

727^4506-4506^727 is 2-PRP! (6.1297s+0.0017s)
727^4506-4506^727 is 3-PRP! (6.1411s+0.0017s)
727^4506-4506^727 is 5-PRP! (6.1144s+0.0031s)
727^4506-4506^727 is 7-PRP! (6.1037s+0.0032s)
727^4506-4506^727 is 11-PRP! (6.1047s+0.0018s)

Primality testing 727^4506-4506^727 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.08% and helper 0.00% (0.25% proof)
727^4506-4506^727 is Fermat and Lucas PRP! (29.6170s+0.0031s)

To be completed...