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Oct 27, 2021 at 23:05 comment added Vladimir Reshetnikov @EFinat-S I experimented with various power towers, just for fun, and then I thought: is it possible to construct a non-trivial problem about power towers that results in a “small” number (i.e. a number whose decimal expansion is practically possible to fully write down), and I came up with this question.
Oct 27, 2021 at 16:26 comment added efs Just for curiosisty: Was there any context for the appearance of this number?
Oct 27, 2021 at 16:19 history edited GH from MO
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Dec 2, 2011 at 19:18 vote accept Vladimir Reshetnikov
Oct 27, 2011 at 1:03 answer added GH from MO timeline score: 90
Oct 27, 2011 at 0:38 comment added Gil Kalai Dear Vladimir, I dont think so. Evaluate using the approximation exp x is close to 1+x when x is small (so 10^x is close to 1+log_e 10 x, and also 10^{a+b}=10^a 10^b. Is there a research motivation behind this cute) question?
Oct 27, 2011 at 0:35 comment added user9072 @GH: Thanks! So, it was me being confused. Sorry for the noise.
Oct 27, 2011 at 0:28 comment added GH from MO @quid: It is -10^10, not (-10)^10.
Oct 27, 2011 at 0:27 comment added Joel David Hamkins Only slightly related, but for amusement, check out math.stackexchange.com/questions/72646/…
Oct 27, 2011 at 0:27 comment added user9072 Either I am temorarily confused or I do not understand this question. (-10)^10 = 10^10, so? Or is there a typo?
Oct 27, 2011 at 0:18 history asked Vladimir Reshetnikov CC BY-SA 3.0