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Re: [sub-project] Perfect cuboid

Verfasst: 08.12.2018 07:28
von Zak
One of the face diagonals is divisible by 4, and I had every right to write: (defg)^2=16n^2. Is it clear?
Let's transform both last equations to the reduced form and try to determine the integer roots:
e3.JPG
e3.JPG (66.32 KiB) 4676 mal betrachtet
Are you still in doubt?

Re: [sub-project] Perfect cuboid

Verfasst: 13.12.2018 15:16
von Zak
x3mEn
e10.JPG
e10.JPG (68.31 KiB) 4635 mal betrachtet

Re: [sub-project] Perfect cuboid

Verfasst: 06.01.2019 13:03
von Zak
x3mEn
Hi! How are the searches going? In the project statistics, the progress so far seems to be unresultative... My own brutal force application still brought nothing too. May be this can be useful to you:
new.png
new.png (154.29 KiB) 4098 mal betrachtet

Re: [sub-project] Perfect cuboid

Verfasst: 28.05.2019 08:47
von Zak
x3mEn
Hi
This link to my proof: http://wdfiles.ru/ikeQ
Can you chek it, please.

Re: [sub-project] Perfect cuboid

Verfasst: 29.05.2019 12:12
von Zak
x3mEn
I already found that there is one case when left part of double inequality not performed. It is folowed that PC exists. Nevertheless thank you.