[sub-project] Perfect cuboid

Fehler und Wünsche zum Projekt yoyo@home
Bugs and wishes for the project yoyo@home
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Zak
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Re: [sub-project] Perfect cuboid

#253 Ungelesener Beitrag von Zak » 08.12.2018 07:28

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) 2193 mal betrachtet
Are you still in doubt?

Zak
Prozessor-Polier
Prozessor-Polier
Beiträge: 109
Registriert: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#254 Ungelesener Beitrag von Zak » 13.12.2018 15:16

x3mEn
e10.JPG
e10.JPG (68.31 KiB) 2152 mal betrachtet

Zak
Prozessor-Polier
Prozessor-Polier
Beiträge: 109
Registriert: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#255 Ungelesener Beitrag von Zak » 06.01.2019 13:03

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) 1615 mal betrachtet

Zak
Prozessor-Polier
Prozessor-Polier
Beiträge: 109
Registriert: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#256 Ungelesener Beitrag von Zak » 28.05.2019 08:47

x3mEn
Hi
This link to my proof: http://wdfiles.ru/ikeQ
Can you chek it, please.

Zak
Prozessor-Polier
Prozessor-Polier
Beiträge: 109
Registriert: 04.11.2017 12:27

Re: [sub-project] Perfect cuboid

#257 Ungelesener Beitrag von Zak » 29.05.2019 12:12

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.

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