Found with PFGW Version 3.7.5

4332^9169-9169^4332 is 2-PRP! (21.2404s+0.0021s)
4332^9169-9169^4332 is 3-PRP! (21.4173s+0.0013s)
4332^9169-9169^4332 is 5-PRP! (21.6838s+0.0016s)
4332^9169-9169^4332 is 7-PRP! (21.1626s+0.0014s)
4332^9169-9169^4332 is 11-PRP! (21.0238s+0.0015s)

Primality testing 4332^9169-9169^4332 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.08% and helper 0.04% (0.28% proof)
4332^9169-9169^4332 is Fermat and Lucas PRP! (111.7095s+0.0022s)

To be completed...