Search found 592 matches

by Masum
Fri Sep 04, 2015 11:13 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

You can post the full solution if you want.
And bai, bai? Seriously? :|
by Masum
Fri Sep 04, 2015 4:03 am
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

In p2 , 2^m-1 according to m makes a sequence - if m = 1 , then 2^m-1 = 1 . For m as 2 , 2^m-1 = 3 . For m as 3 , 2^m-1 = 7 . Let 2^m-1 = X . The sequence - Xn = 2*X(n-1) + 1 where X1 = 1 . In the whole sequence only when m = 1 , X divides n^2+1 . For ex : n^2+1 = 1, 2 (mod 3) etc . My proof is poo...
by Masum
Fri Sep 04, 2015 4:01 am
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

Epshita32 wrote:In p5 can I use the cyclic version instead of the given one ?
Yeah. no problem
by Masum
Wed Sep 02, 2015 11:48 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

Yes, there is an elementary solution. But it uses Cyclotomic Polynomial.
by Masum
Wed Sep 02, 2015 8:49 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

আমাদের ক্লাস এইটের বইয়ে পৌনপুনিক নিয়ে কিছু আলোচনা ছিল। ওখান থেকে, এই লেমাটা প্রমাণ করার চেষ্টা কর আগেঃ একটা সংখ্যা মূলদ হয় যদি ও কেবল যদি দশমিকের পরের(যদি কিছু থাকে) অংশে কোন পর্যায়ক্রমিক ধারা থাকে। যেমন, ১৫.২৪২২৪২২৪২২... খেয়াল কর যে, এখানে পর্যায়টা নির্দিষ্ট। মানে যত কিছুই কর, এটা পরিবর্তন হব...
by Masum
Tue Sep 01, 2015 10:49 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

You just made a takla post lol Use english or bengali in bangla fonts
by Masum
Tue Sep 01, 2015 7:05 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

It seems everyone didn't understand that in problem $8$, $a$ is an infinite series after decimal which has all the prime numbers consecutively. I thought you all would understand what it really meant. Anyway, there is still time left before submission. So correct your solutions accordingly
by Masum
Tue Sep 01, 2015 2:09 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

I will accept both of them, whichever you work with. The given one or the cyclic one.
by Masum
Tue Sep 01, 2015 12:23 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

Re: ONTC Final Exam

no problem even if there is typo in problem 5. all the same. As for problem 4, replace the word bindu with shirsho
by Masum
Mon Aug 31, 2015 9:26 pm
Forum: National Math Camp
Topic: ONTC Final Exam
Replies: 34
Views: 18296

ONTC Final Exam

আজকে কয়েক মিনিট আগেই সমস্যা দিয়ে দেওয়া হলো।
কাল রাত ১০ টার মধ্যে সমাধান জমা দিবে।