Download

SM-N900 (International Exynos): CF-Auto-Root-ha3g-ha3gxx-smn900.zip

SM-N9005 (International Qualcomm): CF-Auto-Root-hlte-hltexx-smn9005.zip
(only works on 4.4 bootloaders, if you're still on 4.3 use the old version which you can find here: http://d-h.st/J32)

SM-N900T (T-Mobile US): CF-Auto-Root-hltetmo-hltetmo-smn900t.zip
SM-N900P (Sprint): CF-Auto-Root-hltespr-hltespr-smn900p.zip
SM-N900R4 (US Cellular): CF-Auto-Root-hlteusc-hlteusc-smn900r4.zip
SM-N900W8 (Canadia): CF-Auto-Root-hltecan-hlteub-smn900w8.zip

SM-N900S (Korea): CF-Auto-Root-hlteskt-hlteskt-smn900s.zip

SM-N9002 (China): CF-Auto-Root-hlte-h3gduoszn-smn9002.zip
SM-N9006 (China): CF-Auto-Root-hlte-h3gzc-smn9006.zip
SM-N9008 (China): CF-Auto-Root-hlte-h3gzm-smn9008.zip
SM-N9009 (China, untested): CF-Auto-Root-hlte-h3gduosctc-smn9009.zip

Untested versions: please let me know if they work!

Other models

T-Mobile US thread: http://forum.xda-developers.com/show....php?t=2467369
Sprint thread: http://forum.xda-developers.com/show....php?t=2469904

CF-Auto-Root is not yet available for all carrier-specific Note3's. Link me to stock firmwares for these devices as they appear, and I might be able to make a device-specific CF-Auto-Root.
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Android
HTC G1, Hero, One
Samsung i5800, i9000*2, P1000*2, P7100, i9100*2, N7000, P6800, i9300, N7100, i9505, N9005
Sony T LT30p, Z C6603
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LG GW910

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