I'm also a beginner. And I received this email. I posted lately an email about 
a finding. I don 't know of it's unique or known or if it has resemblance.

It's also about triangelar numbers in a formula.

E
x = x + 1
(triangelar number) power 2 / x
triangelar number = triangelar number + triangelar number + 1


First results are and I also wrote a programm in c++ wich you can copy paste to 
cpp.sh to see the results.


1             1                           (1/1)             1 = 1 ^2
2             4.5                        (9/2)             9 = 3 ^2
3             12                         (36/3)         36 = 6 ^2
4              25                        (100/4)    100 = 10 ^2

1  <==>  4.5   <==>  12  <==>  25  <==> ..

within these gaps there is an amount of primenumbers that inscrease. Percentual 
it's also intersting.


I'll send next the first number of results of the programm. then it's also 
clear what number of primes are increasing.
Including the programm.

I don 't wanna frustrate others work. This might be seen as trolling. I just 
received this email, but I tought this might be something. I'm an 
undergraduated mathematician. And it has also to do with triangelar numbers.

With friendly regards,

Dirk-Anton Broersen


Outlook for Android<https://aka.ms/ghei36> downloaden
________________________________
From: 'Stanislas Polu' via Metamath <[email protected]>
Sent: Monday, March 23, 2020 9:05:17 PM
To: [email protected] <[email protected]>
Subject: Re: [Metamath] Formalizing IMO B2.1972

Hi Marnix!

Thanks for sharing. The proof I formalized[0] is very closed but I agree is 
also a bit more complicated.

Out of curiosity, where did you find that proof which has a very "formal" 
presentation?

Best,

-stan

[0] http://us.metamath.org/mpeuni/imo72b2.html

On Mon, Mar 23, 2020 at 6:38 PM Marnix Klooster 
<[email protected]<mailto:[email protected]>> wrote:
Hi Stan,

If I were to formalize this in Metamath, I'd use the first proof, but in a more 
calculational format.

I've attached it, unfortunately as a picture.

Yes, this is a longer proof, but it seems somehow easier to me.

Hope this helps someone... :-)

[image.png]


Groetjes,
 <><
Marnix

Op do 27 feb. 2020 om 18:08 schreef 'Stanislas Polu' via Metamath 
<[email protected]<mailto:[email protected]>>:
Hi all,

I'm quite a beginner with Metamath (I have read a bunch of proofs, most of the 
metamath book, I have implemented my own verifier, but I haven't constructed 
any original proof yet) and I am looking to formalize the following proof:

IMO B2 1972: http://www.cs.ru.nl/~freek/demos/exercise/exercise.pdf
Alternative version: http://www.cs.ru.nl/~freek/demos/exercise/exercise2.pdf

(More broadly, I think this would be an interesting formalization to have in 
set.mm<http://set.mm> given this old but nonetheless interesting page: 
http://www.cs.ru.nl/~freek/demos/index.html)

I am reaching out to the community to get direction on how should I go about 
creating an efficient curriculum for myself in order to achieve that goal? Any 
other advice is obviously welcome!

Thank you!

-stan

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Marnix Klooster
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