Samsung launched the Note II phone/tablet in November 2012, and already rumors are starting to circulate about a successor. According to the Korea Times, the Note 3 will sport a 5.9" AMOLED display - larger than the 5.5" one used on in the Note 2 (HD Super AMOLED 1280x720, non-Pentile).
The Note II display uses an RGB matrix in a unique arrangement with a pixel density of 267 PPI. It's highly likely that the Note 3 display will offer Full-HD resolution.
In November 2012 Samsung announced that they sold over 5 million Galaxy Note II phones worldwide in less than 3 months, and later they said that they expect to sell 10 million units by the end of March 2013.
Source: Korea Times