Search found 592 matches

by Masum
Wed Aug 26, 2015 11:50 pm
Forum: National Math Camp
Topic: Practice Problemset 2
Replies: 5
Views: 4764

Re: Practice Problemset 2

I have approved your post. Now you should be able to pm.
by Masum
Wed Aug 26, 2015 7:35 pm
Forum: National Math Camp
Topic: Practice Problemset 2
Replies: 5
Views: 4764

Practice Problemset 2

Here is the second problemset for practice. Comment your ideas or solutions. If there are confusions or problems, comment here so everyone can see. There will be an exam tomorrow.
by Masum
Wed Aug 26, 2015 7:33 pm
Forum: National Math Camp
Topic: Discussion on Exam 1
Replies: 8
Views: 5843

Re: Discussion on Exam 1

No, it is given that they are a Pythagorean Triple. You have to prove $2(b+p)$ is a perfect square.
by Masum
Wed Aug 26, 2015 1:11 am
Forum: National Math Camp
Topic: Discussion on Exam 1
Replies: 8
Views: 5843

Re: Discussion on Exam 1

badass0 wrote:Can anybody give me hints on how to solve problem 1.4?
$5$ divides $6^n-1$.
by Masum
Wed Aug 26, 2015 1:10 am
Forum: National Math Camp
Topic: Discussion on Exam 1
Replies: 8
Views: 5843

Re: Discussion on Exam 1

Problem 1.2 $a_{0}$ can't be equal to 1. let, $a_{0}=2$ then, $a_{1} = 4$ $a_{2} = 6/8$ $a_{3} = 8/9/10/12$ $a_{n} = ......$ if $a_{0}=3$ then, $a_{1} = 6$ $a_{2} = 8/9$ $a_{3} = 10/12$ $a_{n} = ......$ we can see that integers 5, 7, 11 etc. aren't coming in this recurrence. because $a_{n}$ is a mu...
by Masum
Tue Aug 25, 2015 11:16 pm
Forum: National Math Camp
Topic: Discussion on Exam 1
Replies: 8
Views: 5843

Re: Discussion on Exam 1

Let me give you a hint on how to solve problem 1.2. Though I forgot to mention, but it should be kind of obvious that $a_0>1$.
Hint: If $s(a)$ is the smallest prime divisor of $a$, then $a+s(a)$ is always even.
by Masum
Tue Aug 25, 2015 11:07 pm
Forum: National Math Camp
Topic: Discussion on Exam 1
Replies: 8
Views: 5843

Discussion on Exam 1

Ok, the first exam is over. You can discuss on the problems now. Solutions have been posted here. Until then, post your solutions and opinions on the problems or other solutions. And there will be no exam tomorrow. But there will one the next day after that. So be prepared for that.
by Masum
Tue Aug 25, 2015 9:15 pm
Forum: National Math Camp
Topic: Exam 1, Online Number Theory Camp, 2015
Replies: 15
Views: 10520

Re: Exam 1, Online Number Theory Camp, 2015

If you can't pm, just email me.
by Masum
Tue Aug 25, 2015 5:02 pm
Forum: National Math Camp
Topic: Exam 1, Online Number Theory Camp, 2015
Replies: 15
Views: 10520

Re: Exam 1, Online Number Theory Camp, 2015

tanmoy wrote:Can we write solutions in Bangla??
তোমার খুশি।
by Masum
Tue Aug 25, 2015 5:00 pm
Forum: National Math Camp
Topic: Exam 1, Online Number Theory Camp, 2015
Replies: 15
Views: 10520

Re: Exam 1, Online Number Theory Camp, 2015

এমন $k$ বের করা লাগবে যাতে এই ধারার কোন পদ হিসেবে $k$ পাওয়া যায়।