Primality testing 11922002779*(2^172486-2^86243)+2^86245+1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 19, base 3+sqrt(19)
Calling N-1 BLS with factored part 50.00% and helper 0.03% (150.03% proof)
11922002779*(2^172486-2^86243)+2^86245+1 is prime! (1650.141000 seconds)

Primality testing 11922002779*(2^172486-2^86243)+2^86245-5 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper.txt
Running N-1 test using base 2
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 1+sqrt(17)
Running N+1 test using discriminant 17, base 2+sqrt(17)
11922002779*(2^172486-2^86243)+2^86245-5 is prime! (1530.8401s+0.0007s)


Addition:
helper-file contain the number:
_______________________________

2^86243-1