Rechenkraft.net e.V.

First, and Man, why did you decide that these are only 2 possible cases of a, b and c representation?
There're at least 8 different cases: Second, How did you get this last equation?

x3mEn
First. All actions for the all eight cases will be the same because they are commutative with accurancy to designations.
Second.

Man, how did you get it?

x3mEn
if g - odd:
mi must be odd
ni must be even
mi>ni
ki must be odd
Try to use these conditions. You can't to use n3=1. You used the fact that the unit in any degree is equal to one.

Please explain how did you get it? And stop this style/shouting. I think I answered/asked in a normal way.

I decided to open source of Perfect Cuboid subproject today!
First, `cause the 3rd Batch is close to the end,
Second, `cause today's friday, the weekend begins and a lot of people have free time.
So....... the source code is here: https://github.com/renyxadarox/pcuboid
Everyone who is interested to take a part in the public code review, please join to us!
You can comment the code on github, here or join to Telegram group https://t.me/joinchat/BrFEbg7IlqMFl4PBRSdEBA for interactive discussion.

Thank you for this news. It was added to our wiki.

Perfect Cuboid 3rd (loooooong) Batch has finished
If a perfect cuboid exists, its body diagonal exceeds 2^53.

During this batch we were investigating the range of body diagonal from 2^51 (2'251'799'813'685'248) to 2^53 (9'007'199'254'740'992).
17'408 face cuboids,
34'816 imaginary cuboids,
156'672 twilight cuboids,
a total of 208'896 different cuboids
were found with the help of 597'095 workunits.

Thanks to everyone who helped to achieve this Great Result.
As I said before, now we put the subproject on hold for public code review.

x3mEn
Now relax...

Zak, before publish anything, please-please-please verify all your ideas on some trivial samples known as Edge and Face cuboids.

x3mEn
Excuse me, I found a mistake in my programm just now working and I got results... I wanted to write about this... So sorry. Nothing prevents a perfect brick to exist in a long values. Absolutely. Thanks for your careful.

x3mEn
Today I found something. In my humble opinion, this explains everything. Check me, please! JING IT BABY

The page with a full proof from neighboring russian forum