Found with PFGW Version 3.4.8

45^9804+44 is 2-PRP! (28.1594s+0.0073s)
45^9804+44 is 3-PRP! (26.9943s+0.0179s)
45^9804+44 is 5-PRP! (27.1206s+0.0065s)
45^9804+44 is 7-PRP! (26.9325s+0.0170s)
45^9804+44 is 11-PRP! (28.0128s+0.0085s)

Primality testing 45^9804+44 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling N-1 BLS with factored part 0.03% and helper 0.02% (0.12% proof)
45^9804+44 is Fermat and Lucas PRP! (182.6599s+0.0073s)

To be completed...