নিউরনে অনুরণন থেকে...

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sakibtanvir
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নিউরনে অনুরণন থেকে...

Unread post by sakibtanvir » Fri Jan 18, 2013 6:56 pm

Find all natural $n$ for which,$\frac{2^{n}+1}{n^{2}}$ is an integer.
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Phlembac Adib Hasan
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Re: নিউরনে অনুরণন থেকে...

Unread post by Phlembac Adib Hasan » Sat Jan 19, 2013 6:45 pm

It is an IMO Problem. ১৯৯০ বা ৯৫ হতে পারে। I solved it using LTE.
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sakib.creza
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Re: নিউরনে অনুরণন থেকে...

Unread post by sakib.creza » Mon Jan 21, 2013 1:53 pm

Adib Bhai, what's LTE. And please give detailed solution.

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SANZEED
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Re: নিউরনে অনুরণন থেকে...

Unread post by SANZEED » Mon Jan 21, 2013 10:27 pm

sakib.creza wrote:Adib Bhai, what's LTE. And please give detailed solution.
Here is a tutorial on LTE. I hope you will find it useful. :|
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Phlembac Adib Hasan
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Re: নিউরনে অনুরণন থেকে...

Unread post by Phlembac Adib Hasan » Tue Jan 22, 2013 9:27 am

sakib.creza wrote:Adib Bhai, what's LTE. And please give detailed solution.
যখনই মাথায় কোন প্রশ্ন আসবে, আগে গুগোলকে জিজ্ঞেস করবে। 'Number theory LTE' লিখে সার্চ দিলেই গুগোল বলে দেয় এই এল.টি.ই. মানে লিফটিং দ্য এক্সপোনেন্ট।
আর পারভার্দির নোটটা বেশ ভালো। আমি নিজেও এটা থেকে এল.টি.ই. শিখেছি। এখানে দেওয়া সমস্যাটা হচ্ছে এই নোটের চব্বিশ নং প্রশ্ন।
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samiul_samin
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Re: নিউরনে অনুরণন থেকে...

Unread post by samiul_samin » Mon Feb 18, 2019 4:51 pm

sakibtanvir wrote:
Fri Jan 18, 2013 6:56 pm
Find all natural $n$ for which,$\frac{2^{n}+1}{n^{2}}$ is an integer.
This is $1990$ IMO Problem $3$.

SYED ASHFAQ TASIN
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Re: নিউরনে অনুরণন থেকে...

Unread post by SYED ASHFAQ TASIN » Fri Aug 02, 2019 9:00 pm

What does it means by the line just before example??
||x||p=p^[-vp(x)] ?
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