Found with PFGW Version 3.7.5

3204^8183-8183^3204 is 2-PRP! (34.7560s+0.0050s)
3204^8183-8183^3204 is 3-PRP! (34.9371s+0.0036s)
3204^8183-8183^3204 is 5-PRP! (33.8004s+0.0038s)
3204^8183-8183^3204 is 7-PRP! (33.8276s+0.0043s)
3204^8183-8183^3204 is 11-PRP! (35.0071s+0.0039s)

Primality testing 3204^8183-8183^3204 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.11% proof)
3204^8183-8183^3204 is Fermat and Lucas PRP! (174.1314s+0.0050s)

To be completed...