[seqfan] Re: sigma(n) < min(sigma(n-1),sigma(n+1)), n=10*m?

[zak seidov]

--- On Sat, 10/9/10, zak seidov <zakseidov at yahoo.com> wrote:

> From: zak seidov <zakseidov at yahoo.com>
> Subject: [seqfan]  sigma(n) < min(sigma(n-1),sigma(n+1)), n=10*m?
> To: "seqfaneu" <seqfan at seqfan.eu>
> Date: Saturday, October 9, 2010, 5:53 AM
> Dear seqfans,
> 
> What is the least n of the form n=10*m, such that 
> 
> sigma(n) < min(sigma(n-1),sigma(n+1))?
> 
> 
> (That is, sigma(n) is the strict local minimum;
> sigma(n) = A00203(n) )
> 
> First let's find at least one such n and then 
> let's try to improve the limit!
> 
To start with, 
Charles Greathous gave the example

n=5707019657504475216700242307626915459099744204108184475974056118653623493126356870

But this not the minimum for sure!

> Thanks,
> Zak
> 
> 
> 
>       
> 
> 
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