The guys over at Evasi0n have finally cracked the code after 3 months, you can now Untethered jailbreak iOS 7 to iOS 7.0.4. Evasi0n is a tool that allows you to jailbreak your iDevice, it is also untethered, which means the phone is able to reboot without having to connect the phone to a computer in order to reload the software.
The jailbreak works for your iPhone 5C, 4, 4S, 5S, 5 your iPad Mini, iPad and iPod Touch. Here are the steps to follow
Remember that jailbreaking your device can cause issues and you should you do so at your own risk, neither Evasi0n or AmongTech is responsible for any damage or issues this might cause.