Found with PFGW Version 3.4.8

51^8020+50 is 2-PRP! (6.1952s+0.0044s)
51^8020+50 is 3-PRP! (7.5583s+0.0067s)
51^8020+50 is 5-PRP! (8.3016s+0.0047s)
51^8020+50 is 7-PRP! (9.7071s+0.0045s)
51^8020+50 is 11-PRP! (10.9615s+0.0056s)

Primality testing 51^8020+50 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N+1 BLS with factored part 0.40% and helper 0.15% (1.35% proof)
51^8020+50 is Fermat and Lucas PRP! (85.8473s+0.0236s)

To be completed...