Primality testing 29055814795*(2^172486-2^86243)+2^86245-3 [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 13, base 6+sqrt(13)
29055814795*(2^172486-2^86243)+2^86245-3 is prime! (912.2709s+0.0222s)


Primality testing 29055814795*(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 7, base 1+sqrt(7)
29055814795*(2^172486-2^86243)+2^86245+1 is prime! (559.2219s+0.0011s)

Addition:
helper-file contain the number:
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2^86243-1