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Are (the Euler–Mascheroni constant), π+e, π-e, πe, π/e, πe, π√2, ππ, eπ2, ln π, 2e, ee, Catalan's constant or Khinchin's constant irrational?[2][3][4][5][6][7][8]
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irrationality of pi + e pi*e has not been determined yet
I'm not quite familiar with Catalan's constant ... but according to wikipedia it hasn't been determined yet http://en.wikipedia.org/wiki/Catalan's_constant
same goes for the Euler-Mascheroni's constant http://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant
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