Found with PFGW Version 3.7.5

126^30706-125 is 2-PRP! (27.9516s+0.0021s)
126^30706-125 is 3-PRP! (27.7757s+0.0017s)
126^30706-125 is 5-PRP! (28.0182s+0.0020s)
126^30706-125 is 7-PRP! (27.5917s+0.0018s)
126^30706-125 is 11-PRP! (27.6811s+0.0019s)

Primality testing 126^30706-125 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.16% and helper 0.02% (0.49% proof)
126^30706-125 is Fermat and Lucas PRP! (233.3839s+0.0029s)

To be completed...