Found with PFGW Version 3.6.0

3024^6305-6305^3024 is 2-PRP! (21.0163s+0.0040s)
3024^6305-6305^3024 is 3-PRP! (21.0699s+0.0025s)
3024^6305-6305^3024 is 5-PRP! (21.1398s+0.0019s)
3024^6305-6305^3024 is 7-PRP! (21.1529s+0.0040s)
3024^6305-6305^3024 is 11-PRP! (21.0320s+0.0021s)

Primality testing 3024^6305-6305^3024 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N-1 BLS with factored part 0.06% and helper 0.05% (0.23% proof)
3024^6305-6305^3024 is Fermat and Lucas PRP! (101.4605s+0.0026s)

To be completed...