JailbreakMe was a web based jailbreak of early years and it has been awhile since we have seen anything with such easy, in recent years users have needed a computer to jailbreak however Tihmstar has been working on JailbreakMe 4.0 which supports 32-bit iOS 9.1-9.3.4 devices.
To take advantage of this jailbreak you simply visit the JailbreakMe 4.0 website in Safari and tap on the “Jailbreak Me” button which then triggers the zippy jailbreak process, and installs Cydia on your Home screen. Whats even better us that you can untether this jailbreak by adding tihmstar’s repository to your Cydia app and installing the “Community Offsets” and “UntetherHomeDepot” packages within. To add this repository to Cydia, you’ll need to add the following url http://repo.tihmstar.net/
The developer test this on his iPhone 4s and says if it doesn’t work then use the HomeDepot jailbreak tool rather than trying the JailbreakMe 4.0 tool over again.