Found with PFGW Version 3.6.0

90^8320+89 is 2-PRP! (4.7590s+0.0020s)
90^8320+89 is 3-PRP! (4.7363s+0.0019s)
90^8320+89 is 5-PRP! (4.7576s+0.0018s)
90^8320+89 is 7-PRP! (4.7463s+0.0020s)
90^8320+89 is 11-PRP! (4.7688s+0.0021s)

Primality testing 90^8320+89 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.19% and helper 0.03% (0.59% proof)
90^8320+89 is Fermat and Lucas PRP! (31.0498s+0.0031s)

To be completed...