Found with PFGW Version 3.6.0

101^5296+100 is 2-PRP! (2.0048s+0.0018s)
101^5296+100 is 3-PRP! (2.0263s+0.0016s)
101^5296+100 is 5-PRP! (1.9668s+0.0015s)
101^5296+100 is 7-PRP! (1.9929s+0.0018s)
101^5296+100 is 11-PRP! (1.9980s+0.0020s)

Primality testing 101^5296+100 [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 0.24% and helper 0.09% (0.81% proof)
101^5296+100 is Fermat and Lucas PRP! (13.1418s+0.0016s)

To be completed...