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help-10
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Bello友
03/20/2022 18:04:06
I mean triplets
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Mat
03/20/2022 18:05:46
I think not, because we care for non primitive solutions as much as for primitive ones
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Bello友
03/20/2022 18:06:12
Yeah but we can find those at the end i think
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Mat
03/20/2022 18:06:12
In the sense that just 600=2mn would not be recoverable later
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Bello友
03/20/2022 18:06:18
Oh
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Bello友
03/20/2022 18:06:19
Ok
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Mat
03/20/2022 18:06:35
Because then multiplying by k would alter 600 right?
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Bello友
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Bello友
03/20/2022 18:06:42
Makes sense
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Bello友
03/20/2022 18:06:50
Yeah i get it
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Bello友
03/20/2022 18:07:04
Ok so now i have to find all the m n and k
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Mat
03/20/2022 18:07:21
So, 300=kmn, m and n coprime
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Bello友
03/20/2022 18:07:23
Where m and n are coprime
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Bello友
03/20/2022 18:07:24
Yeah
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Mat
03/20/2022 18:08:49
,w factor 300
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help-10
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TeXit
03/20/2022 18:08:51
Results provided by WolframAlpha
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Mat
03/20/2022 18:09:57
I hope there was a quicker solution lol
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Bello友
03/20/2022 18:10:27
Now i still have to find all the possible solutions for m n and k
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Bello友
03/20/2022 18:10:39
There seems to be quite a few of them
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Mat
03/20/2022 18:11:05
Yes, this is the boring part
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Mat
03/20/2022 18:12:17
So like m=2, then n=3, 3\*5, 3\*5^2, 5, 5^2
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Bello友
03/20/2022 18:13:10
Actually
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Bello友
03/20/2022 18:13:15
Does it make sense that m>n?
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Bello友
03/20/2022 18:13:25
I dont think so
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Mat
03/20/2022 18:13:29
Yes, right
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Mat
03/20/2022 18:13:45
I was thinking n>m, but let's do that instead
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Bello友
03/20/2022 18:13:50
Yeah yeah oops
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Bello友
03/20/2022 18:13:54
I meant that
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Bello友
03/20/2022 18:13:59
n>m
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Bello友
03/20/2022 18:14:04
Makes no sense
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Mat
03/20/2022 18:14:23
Also, c=k(n^2+m^2) is symmetric in n and m, this is also relevant
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Bello友
03/20/2022 18:14:39
How
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Mat
03/20/2022 18:15:24
It's not ahah, n>m already does it
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Mat
03/20/2022 18:15:27
Sorry
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Bello友
03/20/2022 18:15:34
Its ok
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Mat
03/20/2022 18:17:51
What if you count all n=p for p a prime and I count all composite n?
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Bello友
03/20/2022 18:21:57
300, 1 150, 1 2 100, 1 3 75, 1 2 4 60, 1 5 50, 1 2 3 6 30, 1 2 5 10 25, 1 2 3 4 6 12 20, 1 3 5 15
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Bello友
03/20/2022 18:22:03
First number is m
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Bello友
03/20/2022 18:22:12
The other numbers are n
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:22:29
I just didnt check for coprimes yet one sec
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Bello友
03/20/2022 18:23:16
300, 1 150, 1 100, 1 3 75, 1 2 4 60, 1 50, 1 3 30, 1 5 25, 1 2 3 4 6 12 20, 1 3 5 15
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help-10
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Bello友
03/20/2022 18:23:33
Those r the possible values for m and n
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Bello友
03/20/2022 18:23:45
And i also left the other list for the k values
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Mat
03/20/2022 18:23:49
Are we doing m>n?
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:25:46
We are doing n>m
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:25:51
I swithed them again lol
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Bello友
03/20/2022 18:26:17
No wait
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:26:19
Aaaaaaah
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:26:25
Yes we were doing m>n
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:26:45
Hows this so confusing
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920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:27:18
So ye now we fpund the possible values for m n and k
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Bello友
03/20/2022 18:27:37
Should we calculate all the triplets now?
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help-10
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Mat
03/20/2022 18:28:59
$$300=2^2\cdot3\cdot5^2$$\\ $$n,m | 300, \,0< n<m, (n,m)=1$$\\ $$M=600 \pm \frac{300}{nm} (n^2+m^2)$$
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help-10
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TeXit
03/20/2022 18:30:19
**Mat**
https://cdn.discordapp.c…466631987211.png
551807466631987211.png
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Bello友
03/20/2022 18:30:49
Yes
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Mat
03/20/2022 18:30:57
Is it enough as a solution? :KEK:
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help-10
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Bello友
03/20/2022 18:31:11
Thats the solution for?
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:31:24
The entire problem?
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Mat
03/20/2022 18:31:25
Your problem
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920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:31:31
Rlly?
1
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Mat
03/20/2022 18:31:48
Yes, why are you surprised?
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help-10
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Mat
03/20/2022 18:32:15
We were counting for that!
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Bello友
03/20/2022 18:32:34
I thought we are going to get something simplier
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Bello友
03/20/2022 18:33:10
Ok nvm i understood now
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Mat
03/20/2022 18:33:42
There are many solutions I feel, maybe another approach would find something more easily parametrized
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help-10
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Bello友
03/20/2022 18:34:03
Yeah probably
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Mat
03/20/2022 18:34:08
Where did you the the problem from?
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Bello友
03/20/2022 18:34:18
I was doing another problem
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help-10
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Bello友
03/20/2022 18:34:27
Then i got stuck at this part
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help-10
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Bello友
03/20/2022 18:34:42
And so i thought the solution was going to be simplier
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help-10
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Mat
03/20/2022 18:34:42
Oh lol, so you needed a smooth formula?
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Bello友
03/20/2022 18:34:48
Yeah lol
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Bello友
03/20/2022 18:34:59
Myb the whole approach to that problem was also wrong tho
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Mat
03/20/2022 18:35:03
Anyway, this also counts negative M
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help-10
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Mat
03/20/2022 18:35:33
No it doesn't, nevermind
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Bello友
03/20/2022 18:35:58
A negative squared number?
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Bello友
03/20/2022 18:36:00
How
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Mat
03/20/2022 18:36:02
Ahah yeah
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Mat
03/20/2022 18:37:05
No wait it does
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Bello友
03/20/2022 18:37:12
Rlly?
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Mat
03/20/2022 18:37:58
Yes, if m<0, m(m-1200)>0
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Bello友
03/20/2022 18:38:14
Oooh ye
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Bello友
03/20/2022 18:38:24
I thought m had to be the perfect square
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help-10
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Bello友
03/20/2022 18:38:39
This problem took long enough
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help-10
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Mat
03/20/2022 18:38:50
Yes, I am getting tired as well
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:38:59
Can i actually tell you what the initial problem was
1
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:39:05
Sure, I am curious
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:39:13
But then I have to go ahah
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:39:15
20m=k(m-15k)
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:39:31
I dont even remember what i had to find tho tbh
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:39:49
I didnt write it down
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:40:02
I tried to solve this problem for a guy on this srv
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:40:54
Myb i just had to find integer solutions for k and m
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:41:16
The only solution i found was k=40 and m=1200
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:44:27
Anyway tysm for the help
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:44:33
.close
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help-10
450d124418d2456ca836406dfba5ec21
551,807,466,631,987,200
Mat
03/20/2022 18:44:37
Interesting
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help-10
450d124418d2456ca836406dfba5ec21
551,807,466,631,987,200
Mat
03/20/2022 18:44:44
You're welcome, bye!
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help-10
450d124418d2456ca836406dfba5ec21
551,807,466,631,987,200
Mat
03/20/2022 18:44:46
.close
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help-10
450d124418d2456ca836406dfba5ec21
714,186,370,934,898,700
xihiro
03/20/2022 18:51:58
can anyone explain what is the deal with these decomposable tensors?
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help-10
450d124418d2456ca836406dfba5ec21
714,186,370,934,898,700
xihiro
03/20/2022 18:52:02
https://cdn.discordapp.c…2476/unknown.png
unknown.png
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