I will be trying to post one or sometimes a few, if I feel like it, (relatively unknown) math theorems here per day. Why you might ask? Because I am bored and think some parts of math, specially those used in Olympiad competitions, are interesting. Consider this a new, more boring, less cute, “the soldiers doggo of the day”.
(feel free to 
react this all you want)
N1: Bertrands postulate:
let n be a natural number.
There always exists a prime number p such that: n < p < 2n
Nerd.
N2: Chicken McNugget theorem (This is not a joke):
let a,b,c,d be integers with a,b > 0
The greatest number that can’t be written in the form ax + by is ab-a-b
Though it has a funny name it is actually quite useful. (more with funny names coming soon)
You are messing with me. Chicken McNugget theorem. Why did McDonalds come up with this? I assume for product management but there has to be a story behind it.
Only god knows why it was called that. (I am secretly a McDonalds employee and this is a marketing ploy)
N3: Wooga Looga theorem ( !geometry alert! )
Let a triangle DEF be inscribed in another triangle ABC such that D belongs to BC, E to AC and F to AB
(Ignore the values, they don’t matter)
let r = DC/DB , t = BF/AF and s = AE/EC
the proportions of the areas of the triangles (ABC)/(DEF)= (rts+1)/((r+1)(s+1)(t+1))
Ugly formula and too specific use? Yes, but I actually got to use it once, and it was funny since I had a hour and 30 to do a problem and did it in 3 lines because I happened to know a funny theorem (literally pure chance).
This is all Greek to me. Speak to me in American.
how is this entertaining to you
Many reasons: 1: I do it with my Duolingo lesson, I won’t miss my streak. 2: My internet is horrible after it cut out so I consistently get 4k lag spikes if I play CM. 3: It takes me like 3 minutes to write one of these theorems here so it’s not like it is a massive effort. anyhow:
N4: Fermat’s little theorem:
Let A be a natural number and P a prime.
A^P is congruent to A (mod P) AKA if I divide “A^P” by “P” its residue (if not divided exactly by) will be “A”
(Christmas theorem coming tomorrow)
Life long learning is fun. Also it is outside my purview so it is very interesting.
What does it have to do with Christmas? How do the creators come up with the names?
yeah i like learning stuff too but maths has always been progressively more meaningless to me lol
You just made me notice that what I wrote is wrong, I got confused with the names 
Tbh I have no clue why Fermat has so many theorems with odd names. there is the little, the last, the Christmas Fermat theorems and probably more I just don’t know about… Time to edit it the thing, I refuse to spread false information 
.
I am a historian. We hate math.
I’m a biologist, so we’re in the same boat 
Interesting. Thank you for the information.
I have a love hate relationship with math. I think it’s interesting and have met a lot of very cool people because of it but it can be annoying sometimes.
Historical records be like:
It was 300,000.00 versus 400,000.00 men. 200,000.00 died.
Reality: It was 15 guys and a goat.
We need a Roman empire facts thread. lmao
That is an amazing idea. I will work on it now.
N5: Fermat’s Christmas theorem (for realsies this time)
Every prime that can be written in the form a^2 + b^2 = p is also for the form 4k+1
For example, since 5 is a prime and can be written as 1^2 + 2^2 it is also of the form 4k+1, in this case k=1 such that 4*1+1 = 5