Nurss's blog

By Nurss, history, 2 months ago, In English

Do you know any information?(place/date)

 
 
 
 
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2 months ago, # |
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It will take place, and the details should be announced soon.

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    2 months ago, # ^ |
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    ok thanks:)

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    6 weeks ago, # ^ |
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    Can you say anything about it now?

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      6 weeks ago, # ^ |
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      It's up to the organizers, sorry.

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    5 weeks ago, # ^ |
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    What is the age range for participants? (it being a Junior Olympiad).

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      3 weeks ago, # ^ |
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      Contestants should be born in 2006 or later.

      Of course, a national federation can set stricter rules. For example, the Croatian Federation stipulates that competitors must attend primary school. Competitors attending high school do not have the right to perform even though they were born in 2006.

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    3 weeks ago, # ^ |
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    Do you know if Ejoi announced ??

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5 weeks ago, # |
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It will be held in Romania

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    5 weeks ago, # ^ |
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    Thank you for the info. Do you know when it will take place?

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    5 weeks ago, # ^ |
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    Offline/online?

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      5 weeks ago, # ^ |
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      It will be online. Probably 24-28 august. This is what romanian organizers say.

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        5 weeks ago, # ^ |
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        I recived an email from them but it is in romanian.

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          5 weeks ago, # ^ |
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          I have a proof of FLT but it is in Hindi.

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            5 weeks ago, # ^ |
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            What does FLT stands for?

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              4 weeks ago, # ^ |
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              Fermat's Last Theorem ...

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                3 weeks ago, # ^ |
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                One interesting historical note on Fermat's Last Theorem.

                In 1637, in Fermat's book Arithmetica, he discussed integer solutions to $$$x^2 + y^2 = z^2$$$, which I think at the time was well known. At least, it's fairly standard intro level number theory, nowadays. Now, the more interesting generalization is solutions to the equation $$$x^n + y^n = z^n$$$ in $$$\mathbb{Z}$$$. And it certainly appears that this has no solutions when $$$n > 2$$$, so Fermat made the remark that he speculated it had no solutions. He said the general solutions was too long to fit into the margins of the textbook. But this turns out to be a really hard problem, and the general consensus is that Fermat was not able to solve it and bluffed (i.e. the equivalent of saying "proof is left as an exercise to the reader" when you don't know how to solve the problem). Why is this the consensus?

                It turns out even case $$$n =3, 4$$$ is pretty hard. Euler solved the case of $$$3$$$ in the late $$$1700s$$$, Legendre solved case of $$$5$$$ in 1825, and Kummer later proved the case of $$$4$$$ (Germain proved a case of the case of $$$4$$$ earlier, but with the restriction that $$$a,b,c$$$ are prime). Point is: the problem is hard. Even individual cases of $$$n$$$ took centuries.

                And eventually, in 1995, Andrew Wiles proved the statement. The proof exceed 100 pages, and used lots of theory Fermat was not aware of at the time (stuff like modular elliptic curves, nontrivial ring/group theory, etc).

                So yeah, TL;DR Fermat basically bluffed and pretended to be able to solve it.

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3 weeks ago, # |
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The official EJOI 2021 website has been launched. The competition will be held on 24th to 28th of August. Good luck to all participants!