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 [SOLVED]Number theory

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Mohammad
Descartes
Descartes
Mohammad

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Join date : 2009-11-05
Age : 35
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[SOLVED]Number theory Empty
PostSubject: [SOLVED]Number theory   [SOLVED]Number theory EmptySun Jan 17, 2010 10:23 pm

Specially for you Bruno : Find all natural numbers such that $n\sigma(n) Mod {\phi(n)}=2$.


Last edited by Mohammad on Tue Feb 23, 2010 4:17 pm; edited 1 time in total
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Bruno
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Bruno

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Age : 32
Location : the infinite, frictionless plane of uniform density

[SOLVED]Number theory Empty
PostSubject: Re: [SOLVED]Number theory   [SOLVED]Number theory EmptyMon Jan 18, 2010 10:12 am

Thanks for the fresh problems Mo! I'll try to do the same. Surprised

\sigma(n) is the sum of the divisors of n?
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Mohammad
Descartes
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Mohammad

Posts : 100
Join date : 2009-11-05
Age : 35
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[SOLVED]Number theory Empty
PostSubject: Re: [SOLVED]Number theory   [SOLVED]Number theory EmptyMon Jan 18, 2010 10:13 am

Yes!
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Bruno
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PostSubject: Re: [SOLVED]Number theory   [SOLVED]Number theory EmptyMon Jan 18, 2010 10:14 am

That was fast! Very Happy
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Bruno
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PostSubject: Re: [SOLVED]Number theory   [SOLVED]Number theory EmptyMon Jan 25, 2010 1:01 am

I finally got around to trying this problem! Sorry for taking so long. I've been in bad mathematical shape. Crying or Very sad

My solution.
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Mohammad
Descartes
Descartes
Mohammad

Posts : 100
Join date : 2009-11-05
Age : 35
Location : Right behind you

[SOLVED]Number theory Empty
PostSubject: Re: [SOLVED]Number theory   [SOLVED]Number theory EmptyMon Jan 25, 2010 1:05 am

What about 6 and 22 Very Happy it is Mo! problem big boy be careful Arrow
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Bruno
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Bruno

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Age : 32
Location : the infinite, frictionless plane of uniform density

[SOLVED]Number theory Empty
PostSubject: Re: [SOLVED]Number theory   [SOLVED]Number theory EmptyMon Jan 25, 2010 1:22 am

Oh yeah! That'll teach me to try solving problems so late, after beer.

I'll fix it tomorrow! The case n=2p is what needs to be taken care of.
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