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From: Physfitfreak <Physfitfreak@gmail.com>
Newsgroups: comp.os.linux.advocacy
Subject: Re: Project Euclid Problem 26 SOLVED!!!
Date: Sun, 10 Mar 2024 13:46:06 -0500
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On 3/10/2024 1:55 AM, Farley Flud wrote:
> On Sat, 9 Mar 2024 14:42:56 -0600, Physfitfreak wrote:
> 
>>
>> I wish there was a chart I could look up, giving denominator integers
>> (with prime factors other than 2 and 5) as its x axis and max number of
>> repeating decimals as the y axis. With x interval going to about a
>> million or even a billion.
>>
> 
> Here are plots of the ranges 0-1000 and 0-10000:
> 
> https://i.postimg.cc/gkkGbtZj/prob26-1k.png
> 
> https://i.postimg.cc/0PxQCcrL/prob26-10k.png
> 
> You will need to download these images to view them in an off-line
> image viewer that will allow scrolling.
> 
> The second image is 10000x1200 resolution and cannot fit within any
> monitor.
> 
> There is a linear increase across the range.  This is expected
> because the Euler totient, which is directly related to the
> repeat length, for a prime number p = p - 1.
> 
> Thus there will never be a repeat length of greater magnitude
> than the number itself.
> 


The second image is also 0 to 1000, not 10000.

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