Samsung Galaxy S4 is one of the most anticipated devices of the year especially because of its octa-core Exynos 5 chipset which is the world's first octa-core mobile chipset. The latest and greatest from Samsung isn't even on sale yet and it has been rooted already. As you might have guessed, this comes the courtesy of guys over at XDA forums.
The developers over there have found a way to gain root access to the Exynos 5 featuring version of the smartphone. All you have to do is root it with a ROOT&Busybox image packed ROM and than flash it via Odin to gain root access to Samsung Galaxy S4.
Samsung has made a mess of device version distribution already and Exynos 5 version now sits at smaller distribution regions (sale wise). Anyways, the root is available only for Exynos 5 Samsung Galaxy S4 but the root for Qualcomm 600 version should follow soon. You can click here to know how to do root your device.
Note: Take care that rooting and flashing voids your warranty and can even brick your device. So do it at your own risk and with utmost care.