Found with PFGW Version 3.7.5

328^40945+40945^328 is 2-PRP! (216.0246s+0.0021s)
328^40945+40945^328 is 3-PRP! (215.4512s+0.0022s)
328^40945+40945^328 is 5-PRP! (215.6647s+0.0021s)
328^40945+40945^328 is 7-PRP! (216.2561s+0.0021s)
328^40945+40945^328 is 11-PRP! (217.3386s+0.0022s)

Primality testing 328^40945+40945^328 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.03% and helper 0.00% (0.08% proof)
328^40945+40945^328 is Fermat and Lucas PRP! (1088.1116s+0.0022s)

To be completed...