Re: Project Euclid Problem 26 SOLVED!!!

On Sun, 10 Mar 2024 13:46:06 -0500, Physfitfreak wrote:

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

The second image is now corrected:

https://i.postimg.cc/FmKpsHzY/prob26-10k.png

Again, the resolution is 10000x1200 and it should be downloaded
and viewed off-line.

There is a clear upward, seemingly linear trend and this will
undoubtedly continue to infinity.

The educational system only describes repeating decimals
briefly because an in-depth analysis is beyond its resources.

But now we have CAS and we can examine repeating decimals
with ease.

Maxima can calculate this series up to a billion or more,
but it would take some time.  I need to check out Pari,
which is a C program, and thus much faster:

https://pari.math.u-bordeaux.fr/

The relevant Pari function would be znorder(x, {o}):

https://pari.math.u-bordeaux.fr/dochtml/html/Arithmetic_functions.html