Found with PFGW Version 3.6.0

5964^6481-6481^5964 is 2-PRP! (23.9923s+0.0052s)
5964^6481-6481^5964 is 3-PRP! (23.9538s+0.0049s)
5964^6481-6481^5964 is 5-PRP! (23.9286s+0.0049s)
5964^6481-6481^5964 is 7-PRP! (23.9404s+0.0028s)
5964^6481-6481^5964 is 11-PRP! (23.9790s+0.0028s)

Primality testing 5964^6481-6481^5964 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.04% and helper 0.02% (0.14% proof)
5964^6481-6481^5964 is Fermat and Lucas PRP! (116.5925s+0.0046s)

To be completed...