I just got my Verizon Galaxy Note 3 today in White. I've been home with the phone for all of 2 hours.
I'm hasty. I have to root immediately, I don't want to have to set everything up twice. I looked at the version number, saw MJE at the end and assumed I had MJE.
I tried the vroot posted a few pages back, and that didn't work. It did install the Chinese stuff on my phone, which I promptly removed from my PC and wiped the phone.
I googled for Kango, installed it, granted permissions etc. and now I'm rooted. Quick and easy, verified with root checker and SuperSU is now installed.
Just thought I would share. I've since installed SafeStrap, then SuperSU and now I'm looking at ROM's.
Thanks for the helpful post, it certainly worked for me.
Oh, cable is just some old micro-USB cable I've had plugged into my laptop. USB 2.0 I believe, not 3.0. Maybe it'll help others maybe not.