OFFSET
0,1
COMMENTS
A weak form of Schanuel's Conjecture implies that (log 2)^(log 2) is transcendental--see Marques and Sondow (2012).
LINKS
D. Marques and J. Sondow, The Schanuel Subset Conjecture implies Gelfond's Power Tower Conjecture, arXiv:1212.6931 [math.NT], 2012-2013.
EXAMPLE
0.7756550370345751987332572790748780829226782575549514210453689950664279799102...
MATHEMATICA
RealDigits[ Log[2]^Log[2], 10, 200] [[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jonathan Sondow, Dec 31 2012
STATUS
approved