Found with PFGW Version 3.6.0

82^19712+81 is 2-PRP! (23.0559s+0.0026s)
82^19712+81 is 3-PRP! (23.5626s+0.0025s)
82^19712+81 is 5-PRP! (23.4492s+0.0035s)
82^19712+81 is 7-PRP! (23.7263s+0.0113s)
82^19712+81 is 11-PRP! (24.8354s+0.0057s)

Primality testing 82^19712+81 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.15% proof)
82^19712+81 is Fermat and Lucas PRP! (157.2076s+0.0031s)

To be completed...