iOS 6.1.3 evasi0n 1.5.4 is an untethered jailbreak for all iPhone, iPod touch, iPad and iPad mini models running iOS 6.0 through 6.1.3

Requirements

5 minutes of your time!
A computer, running Windows (XP minimum), Mac OS X (10.6 minimum) or Linux (x86 / x86_64)
iTunes installed if you're running Windows
An iPhone, iPad or iPod running iOS 6.0 through 6.1.3 (you may check in Settings / General / About Version)
A USB cable to connect the device to the computer