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/sci/ - Science & Math

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File: 30 KB, 600x480, 600px-Sigma_function..png [View same] [iqdb] [saucenao] [google]
4808214 No.4808214 [Reply] [Original]

You guys think an extended collaboration on this particular problem would be worthwhile?

Specifically for <span class="math">n=10,14,15,20[/spoiler]. If you aren't familiar with friendly numbers, the following links should help you out.

http://en.wikipedia.org/wiki/Solitary_number#Solitary_numbers

http://en.wikipedia.org/wiki/Divisor_function

I've been working towards a proof to determine whether a particular number, <span class="math">n[/spoiler] is friendly or solitary. Particularly, when <span class="math">n=10[/spoiler]. I've also tested every rational number up to <span class="math">10\cdot 10^{9}[/spoiler] in regards to<span class="math">n=10[/spoiler], so those are already out of the question.

You guys think workin' on this together would be a good idea? I thought a collective effort on a problem such as this (which isn't all to mathematically intensive) would be a relatively entertaining idea. Whether you implement a brute force attack style or an analytical proofing attempt, everything is a valuable step in the right direction.

>> No.4808344

could be interesting

>> No.4808367

>>4808214
The abundancy of 10 is 1/1 + 1/2 + 1/5 = 17/10
I imagine letting a script run that bruteforces this wouldn't be too hard, but it could be time intensive.

Anyway, it's fun that you're trying to bring us towards a collective goal!

>> No.4808369

>>4808367
I have to correct myself, it is 18/10. I forgot to add a 1/10 in there.

>> No.4808407

>>4808214
Before I leave, how does it look like when you put sigma(n) / n on the y axis and n on the x axis?

>> No.4809171 [DELETED] 

>>4808367
Yes, the ascendance is 1.8

>>4808407
I'm not entirely sure, but have a general idea; the picture in the OP is simga(n) vs n up to n=250, however.

>> No.4809173

>>4808367
Yes, the abundance is 1.8

>>4808407
I'm not entirely sure, but have a general idea; the picture in the OP is simga(n) vs n up to n=250, however.

>> No.4809180

>>4808367
Give me a script and I am willing to run it for a few days. I do however want to compile it myself, just out of general distrust of 4chan.

>> No.4809181

>>4809180
The script would be insanely easy (and short) to write. However, there are numerous open-source ones freely available. Just do some searchin'.

>> No.4810909

bump