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ONT Camp Day 1

Posted: Sun Aug 23, 2015 9:24 pm
by Masum
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.

Re: ONT Camp Day 1

Posted: Sun Aug 23, 2015 10:13 pm
by Masum
Check comments below for correction
practice_problems_day1.pdf
(27.53KiB)Downloaded 504 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
(176.67KiB)Downloaded 437 times
or
Problems in Elementary Number Theory.pdf
(415.92KiB)Downloaded 418 times
or

Re: ONT Camp Day 1

Posted: Sun Aug 23, 2015 11:06 pm
by tanmoy
I think there is a problem in problem 1 and 4

Re: ONT Camp Day 1

Posted: Sun Aug 23, 2015 11:19 pm
by Tahmid
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 . :|

Re: ONT Camp Day 1

Posted: Sun Aug 23, 2015 11:25 pm
by tanmoy
Ooopss...didn't notice.Sorry for that :oops:

Re: ONT Camp Day 1

Posted: Sun Aug 23, 2015 11:35 pm
by Masum
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 $a^5+b^5+c^5$

Re: ONT Camp Day 1

Posted: Sun Aug 23, 2015 11:37 pm
by tanmoy
There will be an exam tomorrow at 9 a.m. or p.m?

Re: ONT Camp Day 1

Posted: Sun Aug 23, 2015 11:41 pm
by Masum
P.M. Though it doesn't matter when because it will be same for everyone.

Re: ONT Camp Day 1

Posted: Sun Aug 23, 2015 11:55 pm
by SANZEED
I think it would better be 9 pm. That way none will miss it.

Re: ONT Camp Day 1

Posted: Mon Aug 24, 2015 10:23 am
by badass0
i can't understand the 5th problem. anybody please help me or provide a bangla version of the problem