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What is the strongest chess program available on Android? This is a common question of many chess fans around. The answer as of today is somehow clear: Stockfish DD.
Stockfish is an open source free engine dominating all present rankings based on Windows environment. Android is not different here. Besides, Stockfish is obviously all alone at the top thanks to Houdini, Rybka, Naum etc still not available for Android.
Android version of Stockfish plays approximately at 2900 ELO on a Galaxy Note 2. The closest rival is Critter 1.6a. Unfortunately Critter is not developed anymore and the gap is estimated as 100 ELO below.
I don't have an example game which Stockfish lost to any other engine yet. Quest to be continued.
To download and try Stockfish on Android, go to: www.stockfishchess.org
Those who don't have a chess GUI to plug in the binary compile, there's a standalone application called Droidfish in Googleplay with the same engine embedded.
Droidfish can also be found in above homepage under third party apps section.