PFGW Version 3.7.10.64BIT.20150809.Mac_Dev [GWNUM 28.6]
No factoring at all, not even trivial division
Primality testing 2^524288+189093 [N-1/N+1, Brillhart-Lehmer-Selfridge]                                    
Running N-1 test using base 2                                                  
Running N-1 test using base 7                                                  
Running N+1 test using discriminant 17, base 3+sqrt(17)                                    
2^524288+189093 is Fermat and Lucas PRP! (4188.7760s+0.0021s) 
To be completed...