ONT Camp Day 1

Discussion on Bangladesh National Math Camp
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Masum
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ONT Camp Day 1

Unread post by Masum » Sun Aug 23, 2015 9:24 pm

So, this is the first day of online number theory camp. The camp will last 7 days. Every day, there will be some practice problems and discussion on them. You don't have to send me any pm or email for discussion/practice problems. Just comment here. Send me pm just for solutions or if there is some problem or if you have problem misunderstanding some topics.
We will have three/four exams. There will be an exam tomorrow at 9 pm. Practice problems will be posted soon. Stay alert.
One one thing is neutral in the universe, that is $0$.

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Masum
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Re: ONT Camp Day 1

Unread post by Masum » Sun Aug 23, 2015 10:13 pm

Check comments below for correction
practice_problems_day1.pdf
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Here is the problem set of Day $1$. Also, interested campers can read the articles attached. They are really helpful. Even if you don't want to read right now, keep them. Some day they might be of use.
For a lot of practice, try
NT Marathon.pdf
(176.67KiB)Downloaded 432 times
or
Problems in Elementary Number Theory.pdf
(415.92KiB)Downloaded 415 times
or
Attachments
Zsigmondy Excalibre.pdf
(424.33KiB)Downloaded 434 times
Lifting The Exponent - Version 6.pdf
(210.24KiB)Downloaded 394 times
One one thing is neutral in the universe, that is $0$.

tanmoy
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Re: ONT Camp Day 1

Unread post by tanmoy » Sun Aug 23, 2015 11:06 pm

I think there is a problem in problem 1 and 4
"Questions we can't answer are far better than answers we can't question"

Tahmid
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Re: ONT Camp Day 1

Unread post by Tahmid » Sun Aug 23, 2015 11:19 pm

tanmoy wrote:I think there is a problem in problem 1 and 4
if there is a problem, masum vaia told to send a pm .
so it's better to send him a pm than posting here . :|

tanmoy
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Re: ONT Camp Day 1

Unread post by tanmoy » Sun Aug 23, 2015 11:25 pm

Ooopss...didn't notice.Sorry for that :oops:
"Questions we can't answer are far better than answers we can't question"

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Masum
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Re: ONT Camp Day 1

Unread post by Masum » Sun Aug 23, 2015 11:35 pm

Don't worry about that. Correct versions: 1. $a$ divides $\gcd(b,c)$
4. If $30$ divides $a+b+c$, then prove that $30$ divides $a^5+b^5+c^5$
One one thing is neutral in the universe, that is $0$.

tanmoy
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Re: ONT Camp Day 1

Unread post by tanmoy » Sun Aug 23, 2015 11:37 pm

There will be an exam tomorrow at 9 a.m. or p.m?
"Questions we can't answer are far better than answers we can't question"

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Masum
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Re: ONT Camp Day 1

Unread post by Masum » Sun Aug 23, 2015 11:41 pm

P.M. Though it doesn't matter when because it will be same for everyone.
One one thing is neutral in the universe, that is $0$.

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SANZEED
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Re: ONT Camp Day 1

Unread post by SANZEED » Sun Aug 23, 2015 11:55 pm

I think it would better be 9 pm. That way none will miss it.
$\color{blue}{\textit{To}} \color{red}{\textit{ problems }} \color{blue}{\textit{I am encountering with-}} \color{green}{\textit{AVADA KEDAVRA!}}$

badass0
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Re: ONT Camp Day 1

Unread post by badass0 » Mon Aug 24, 2015 10:23 am

i can't understand the 5th problem. anybody please help me or provide a bangla version of the problem
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