Found with PFGW Version 3.4.8

51^10606+50 is 2-PRP! (12.3236s+0.0060s)
51^10606+50 is 3-PRP! (13.5577s+0.0017s)
51^10606+50 is 5-PRP! (13.9029s+0.0020s)
51^10606+50 is 7-PRP! (14.7732s+0.0018s)
51^10606+50 is 11-PRP! (15.2274s+0.0020s)

Primality testing 51^10606+50 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N+1 BLS with factored part 0.47% and helper 0.02% (1.44% proof)
51^10606+50 is Fermat and Lucas PRP! (121.9076s+0.0056s)

To be completed...