Found with PFGW Version 3.8.0

9999^13064-13064^9999 is 2-PRP! (54.3880s+0.0061s)
9999^13064-13064^9999 is 3-PRP! (55.2469s+0.0112s)
9999^13064-13064^9999 is 5-PRP! (53.9815s+0.0093s)
9999^13064-13064^9999 is 7-PRP! (53.7182s+0.0092s)
9999^13064-13064^9999 is 11-PRP! (54.8227s+0.0089s)

Primality testing 9999^13064-13064^9999 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.08% proof)
9999^13064-13064^9999 is Fermat and Lucas PRP! (282.9426s+0.0103s)

To be completed...