Serious Mathcel championship, question for high iq mathcels

[DostoevskyCel]

if this post gets any traction I'd like to make it a weekly thing, basically I post a (typically number theory, but will include geometry and single variable calc, and you don't need to answer all the questions I post) question and people post their solutions, after about a day or so I'll post my solution. First week's problem is above and below are my hints for my solution, the hints get progressively bigger:
hint 1: without loss of generality suppose a >= b >= c
hint 2: use inequalities to find an upper bound of one of the variables
hint 3: if c is the smallest of the ordered solution a, b, c, then (1+ 1/c) is the largest factor, hence 2 =< (1 + 1/c)^3

 

[Linesnap99]

a=1 b=0 c=0

 

[DostoevskyCel]

a=1 b=0 c=0

zero isn't a natural number and there are more solutions

 

[Deleted member 31630]

we already did this. it was pinned on the lounge and it was really cool

Daily math problem thread

For your edification and intellectual stimulation I will post a math problem on here daily (or at least a few times a week). I will try to make the problems as accessible as possible, in that I will assume no really advanced mathematical knowledge. Just a bit of cleverness will do. You may...

incels.is

i don't really know too much number theory so i dunno

 

[Deleted member 32725]

Nooooooo you can't make me construct a domain of possible values this early

 

[Deleted member 34767]

holy shit i got it but my ''proof'' isn't elegant lol

<a=2, b=15, c=4> ; <a=2, b=9, c=5> ; <a=2, b=7, c=6> ; <a=3, b=5, c=4> ; <a=3, b=3, c=8>

When are you posting the proof? I've never done number theory yet, I graphed and checked myself for the values of b with bounds. I have absolutely no idea how you would do this algebraically.

 

[Deleted member 23712]

Do ur own homework, GrAYcel

 

[DostoevskyCel]

holy shit i got it but my ''proof'' isn't elegant lol

<a=2, b=15, c=4> ; <a=2, b=9, c=5> ; <a=2, b=7, c=6> ; <a=3, b=5, c=4> ; <a=3, b=3, c=8>

When are you posting the proof? I've never done number theory yet, I graphed and checked myself for the values of b with bounds. I have absolutely no idea how you would do this algebraically.

ive not done number theory either, uk maths curriculum is extremely regimented, I pick up most my techniques from youtubers, ill post in soonish, algebraically is a bit of a misnomer here tho, I used algebra to get an upper bound and then went thru the few cases the bound provides

Do ur own homework, GrAYcel

my college has finished for the year + I had already done it when I posted this question

@registeredsubhuman9

 

[osman27]

I miss being good at maths. I'm scratchy as hell now.

 

[Copexodius Maximus]

Do ur own homework, GrAYcel

Fucking so much grayphobia JFL

 

[Deleted member 23712]

Fucking so much grayphobia JFL

 

[TallCelFag]

Wow you guys are high IQ ngl

 

[Caesercel]

ive not done number theory either, uk maths curriculum is extremely regimented, I pick up most my techniques from youtubers, ill post in soonish, algebraically is a bit of a misnomer here tho, I used algebra to get an upper bound and then went thru the few cases the bound provides

my college has finished for the year + I had already done it when I posted this question
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@registeredsubhuman9

Nice solution bruh. Never could have thought of doing it this way.

I miss being good at maths.

 

[Intellau_Celistic]

@trying to ascend

This may offer you some enjoyment.