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# [SOLVED]Number theory

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Descartes

Posts : 100
Join date : 2009-11-05
Age : 34
Location : Right behind you

 Subject: [SOLVED]Number theory   Sun 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

Posts : 184
Join date : 2009-09-15
Age : 31
Location : the infinite, frictionless plane of uniform density

 Subject: Re: [SOLVED]Number theory   Mon Jan 18, 2010 10:12 am Thanks for the fresh problems Mo! I'll try to do the same. \sigma(n) is the sum of the divisors of n?

Descartes

Posts : 100
Join date : 2009-11-05
Age : 34
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 Subject: Re: [SOLVED]Number theory   Mon Jan 18, 2010 10:13 am Yes!

Posts : 184
Join date : 2009-09-15
Age : 31
Location : the infinite, frictionless plane of uniform density

 Subject: Re: [SOLVED]Number theory   Mon Jan 18, 2010 10:14 am That was fast!

Posts : 184
Join date : 2009-09-15
Age : 31
Location : the infinite, frictionless plane of uniform density

 Subject: Re: [SOLVED]Number theory   Mon 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. My solution.

Descartes

Posts : 100
Join date : 2009-11-05
Age : 34
Location : Right behind you

 Subject: Re: [SOLVED]Number theory   Mon Jan 25, 2010 1:05 am What about 6 and 22 it is Mo! problem big boy be careful

Posts : 184
Join date : 2009-09-15
Age : 31
Location : the infinite, frictionless plane of uniform density

 Subject: Re: [SOLVED]Number theory   Mon 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.