Found with PFGW Version 3.6.0

90^6876+89 is 2-PRP! (2.5293s+0.0018s)
90^6876+89 is 3-PRP! (2.4720s+0.0033s)
90^6876+89 is 5-PRP! (2.4745s+0.0032s)
90^6876+89 is 7-PRP! (2.4660s+0.0031s)
90^6876+89 is 11-PRP! (2.4888s+0.0020s)

Primality testing 90^6876+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 0.22% and helper 0.05% (0.72% proof)
90^6876+89 is Fermat and Lucas PRP! (17.6668s+0.0020s)

To be completed...