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Timeline for Sequence of digits of powers of two

Current License: CC BY-SA 4.0

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Jan 1 at 15:38 answer added Simon Cowel timeline score: -2
Dec 20, 2023 at 17:25 comment added Gerry Myerson it's believed, but not proved, that $2^{86}$ is the biggest power of two with no zeros in its decimal representation. oeis.org/A007377
Dec 20, 2023 at 2:43 comment added Terry Tao There are many open problems in this area, e.g., erdosproblems.com/406 or en.wikipedia.org/wiki/Mahler%27s_3/2_problem . Adjacent powers of two have some relations between digits, of course, which can be used to derive some consequences, but in general these questions are quite difficult. As a general rule, we know quite little about the distribution of fractional parts of specific exponentially growing sequences.
Dec 20, 2023 at 0:07 history edited Sam Hopkins
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Dec 19, 2023 at 23:44 history asked James Propp CC BY-SA 4.0