Found with PFGW Version 3.7.5

322^41507+41507^322 is 2-PRP! (219.3205s+0.0028s)
322^41507+41507^322 is 3-PRP! (219.3106s+0.0029s)
322^41507+41507^322 is 5-PRP! (220.4208s+0.0039s)
322^41507+41507^322 is 7-PRP! (218.7751s+0.0029s)
322^41507+41507^322 is 11-PRP! (220.2622s+0.0030s)

Primality testing 322^41507+41507^322 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 6+sqrt(17)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.04% proof)
322^41507+41507^322 is Fermat and Lucas PRP! (1084.1391s+0.0043s)

To be completed...