Found with PFGW Version 3.6.0

45^20490+44 is 2-PRP! (20.5865s+0.0030s)
45^20490+44 is 3-PRP! (20.5216s+0.0025s)
45^20490+44 is 5-PRP! (20.5531s+0.0041s)
45^20490+44 is 7-PRP! (20.4117s+0.0035s)
45^20490+44 is 11-PRP! (20.4605s+0.0030s)

Primality testing 45^20490+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)
45^20490+44 is Fermat and Lucas PRP! (128.0437s+0.0026s)

To be completed...