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
(27.53 KiB) Downloaded 198 times
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
(176.67 KiB) Downloaded 155 times
or
Problems in Elementary Number Theory.pdf
(415.92 KiB) Downloaded 132 times
or
Attachments
Zsigmondy Excalibre.pdf
(424.33 KiB) Downloaded 151 times
Lifting The Exponent - Version 6.pdf
(210.24 KiB) Downloaded 132 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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