Found with PFGW Version 3.7.5

286^45405+45405^286 is 2-PRP! (256.9377s+0.0031s)
286^45405+45405^286 is 3-PRP! (255.5713s+0.0031s)
286^45405+45405^286 is 5-PRP! (256.3493s+0.0034s)
286^45405+45405^286 is 7-PRP! (255.7430s+0.0032s)
286^45405+45405^286 is 11-PRP! (257.1814s+0.0033s)

Primality testing 286^45405+45405^286 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 23
Running N+1 test using discriminant 31, base 10+sqrt(31)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)
286^45405+45405^286 is Fermat and Lucas PRP! (1822.5625s+0.0031s)

To be completed...