Prp b=3,7 and BLS test :
PFGW Version 20040817.Win_Dev (Beta 'caveat utilitor') [FFT v23.8]

Primality testing 2^414032-5 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 19, base 2+sqrt(19)
2^414032-5 is Fermat and Lucas PRP! (13694.2438s+0.0262s)

To be completed...