## ONT Camp Day 1

Discussion on Bangladesh National Math Camp
Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### ONT Camp Day 1

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 $0$.

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: ONT Camp Day 1

Check comments below for correction
practice_problems_day1.pdf
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
or
Problems in Elementary Number Theory.pdf
or
Attachments
Zsigmondy Excalibre.pdf
Lifting The Exponent - Version 6.pdf
One one thing is neutral in the universe, that is $0$.

tanmoy
Posts: 304
Joined: Fri Oct 18, 2013 11:56 pm

### Re: ONT Camp Day 1

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
Posts: 110
Joined: Wed Mar 20, 2013 10:50 pm

### Re: ONT Camp Day 1

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
Posts: 304
Joined: Fri Oct 18, 2013 11:56 pm

### Re: ONT Camp Day 1

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

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: ONT Camp Day 1

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
Posts: 304
Joined: Fri Oct 18, 2013 11:56 pm

### Re: ONT Camp Day 1

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"

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: ONT Camp Day 1

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 $0$.

SANZEED
Posts: 550
Joined: Wed Dec 28, 2011 6:45 pm

### Re: ONT Camp Day 1

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

Posts: 11
Joined: Wed Feb 25, 2015 10:07 pm

### Re: ONT Camp Day 1

i can't understand the 5th problem. anybody please help me or provide a bangla version of the problem
Bored of being boring because being bored is boring