Found with PFGW Version 3.6.0

106^7323-105 is 2-PRP! (3.6732s+0.0031s)
106^7323-105 is 3-PRP! (3.6266s+0.0020s)
106^7323-105 is 5-PRP! (3.6067s+0.0018s)
106^7323-105 is 7-PRP! (3.6228s+0.0020s)
106^7323-105 is 11-PRP! (3.6103s+0.0033s)

Primality testing 106^7323-105 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 6+sqrt(7)
Calling N+1 BLS with factored part 0.19% and helper 0.09% (0.68% proof)
106^7323-105 is Fermat and Lucas PRP! (23.9341s+0.0018s)

To be completed...