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Timeline for Conjecture about harmonic numbers

Current License: CC BY-SA 3.0

18 events
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Jan 28, 2017 at 22:07 history edited Gottfried Helms CC BY-SA 3.0
text again brushed and bugs corrected
Jan 28, 2017 at 21:57 history edited Gottfried Helms CC BY-SA 3.0
text again brushed and bugs corrected
Jan 28, 2017 at 17:39 comment added Gerhard Paseman Looks great! Your plot suggests that nA has a distribution that is well approximated by a uniform distribution. I would take that as a working heuristic in approaching this and similar problems involving A at critical values of n. Gerhard "Makes A Nice Background, Too" Paseman, 2017.01.28.
Jan 28, 2017 at 13:34 history edited Gottfried Helms CC BY-SA 3.0
first part of text massively straightened
Jan 28, 2017 at 10:17 comment added Gottfried Helms @GerhardPaseman: please look at the updated answer
Jan 28, 2017 at 10:17 history edited Gottfried Helms CC BY-SA 3.0
added image conc. uniformity
Jan 28, 2017 at 0:55 comment added Gerhard Paseman For those n for which $ nA \lt 1$, it would be nice to know the distribution of nA, in particular does it look uniform in (0,1) for this sample. That picture might help inform a function $\epsilon(n)$ for the rate of decrease of nA. Gerhard "if The Uniform Does Fit..." Paseman, 2017.01.27.
Jan 27, 2017 at 19:45 history edited Gottfried Helms CC BY-SA 3.0
corrected image
Jan 27, 2017 at 19:35 history edited Gottfried Helms CC BY-SA 3.0
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Jan 27, 2017 at 19:27 history edited Gottfried Helms CC BY-SA 3.0
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Jan 27, 2017 at 15:09 comment added LRDPRDX I added picture based on your (@Gottfried's) data in the description.
Jan 27, 2017 at 14:31 comment added LRDPRDX It is very good how many people interested in this conjecture. Sorry for not taking part in your discussion so far, but I am trying to find more information about harmonic numbers which can be useful in the investigation of this problem. Hope cooperative work bring results.
Jan 27, 2017 at 12:54 history edited Gottfried Helms CC BY-SA 3.0
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Jan 27, 2017 at 12:08 history edited Gottfried Helms CC BY-SA 3.0
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Jan 27, 2017 at 11:09 history edited Gottfried Helms CC BY-SA 3.0
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Jan 27, 2017 at 10:46 history edited Gottfried Helms CC BY-SA 3.0
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Jan 27, 2017 at 10:38 history edited Gottfried Helms CC BY-SA 3.0
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Jan 27, 2017 at 10:17 history answered Gottfried Helms CC BY-SA 3.0