I have tried the standard "power button + home + volume up" method . I have also used a couple apps that do by just pressing a button. All of these get me to a screen that is labeled Odin mode. Odin mode from my understanding is just another download mode. I done searches and haven't found any other post with this kind of unbelievable problem. My real question is what are the implications of not having a recovery mode. Does this mean my phone can brick and be unrecoverable? If this is a problem that is unique to only Samsung Galaxy S4 please move this post to the appropriate forum.