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Forum: Aliquot Sequences 2018-03-07, 20:08
Replies: 468
Views: 34,898
Posted By Dubslow
Hmm, I think that means my number is an...

Hmm, I think that means my number is an underestimate then, since it's overcounting the m for my purposes, and higher m = lower odds.
Forum: Aliquot Sequences 2018-03-07, 19:00
Replies: 468
Views: 34,898
Posted By Dubslow
Actually, now I know for certain that no one read...

Actually, now I know for certain that no one read my previous theory post, because it's got some horrifically wrong notation that any middle schooler with algebra should be able to point out.
...
Forum: Aliquot Sequences 2018-03-07, 18:54
Replies: 468
Views: 34,898
Posted By Dubslow
Using your distribution for m (obviously subject...

Using your distribution for m (obviously subject to the same warning about sample size) together with the half-assed theory, I came up with the following theoretical approximation:


In [2]:...
Forum: Aliquot Sequences 2018-03-07, 18:25
Replies: 468
Views: 34,898
Posted By Dubslow
Excellent, thanks! Just to clarify, does this...

Excellent, thanks! Just to clarify, does this count only unpowered primes or any primes to a nonunit power as well?
Forum: Aliquot Sequences 2018-03-05, 00:22
Replies: 468
Views: 34,898
Posted By Dubslow
Hi Steve, With your dataset and...

Hi Steve,



With your dataset and scripts, would you be willing to do a measurement of the rough distribution of this "m"? That is, how often a 100 digit cofactor has 1 non-powered factor, or 2...
Forum: Aliquot Sequences 2018-03-01, 20:21
Replies: 468
Views: 34,898
Posted By Dubslow
The computation can be performed in an analogous...

The computation can be performed in an analogous way to the power of 2. Let "threes count of x" refer the the largest power of 3 that divides sigma(x) (such that, e.g., the threes count of 11 is 1...
Forum: Aliquot Sequences 2018-02-28, 22:05
Replies: 468
Views: 34,898
Posted By Dubslow
Sounds right. We're asking, for n digits, how...

Sounds right. We're asking, for n digits, how many of those n digit numbers are prime? Which is to say, we're asking what (pi(b) - pi(a))/(b-a) is, for b=10a -- or, more precisely, what pi'(b) is. Of...
Forum: Aliquot Sequences 2018-02-27, 22:58
Replies: 468
Views: 34,898
Posted By Dubslow
Obligatory plug for my way-too-in-depth theory...

Obligatory plug for my way-too-in-depth theory page (https://www.rechenkraft.net//aliquot/intro-analysis.html). Ideally should be easily accessible to anyone with a little basic college math --...
Forum: Aliquot Sequences 2018-02-25, 14:27
Replies: 468
Views: 34,898
Posted By Dubslow
I would like to suggest that we consider dropping...

I would like to suggest that we consider dropping this sequence. Of the four sequences currently reserved to MF, I consider it the least interesting, and it also has a tough driver to go with the...
Forum: Aliquot Sequences 2018-02-24, 15:24
Replies: 468
Views: 34,898
Posted By Dubslow
I finished a t40 and a just over a third of a...

I finished a t40 and a just over a third of a t45. I'm not particularly interested in cracking this nut myself so I shall cease.
Forum: Aliquot Sequences 2016-10-11, 08:34
Replies: 468
Views: 34,898
Posted By Dubslow
On the off-topic of large file transfer, has...

On the off-topic of large file transfer, has anyone ever experimented with torrent? It suffers from the primary non-third-party disadvantage that both parties involved have to be online at the same...
Forum: Aliquot Sequences 2016-09-30, 15:48
Replies: 468
Views: 34,898
Posted By Dubslow
I wouldn't go so far as to call it "fly in the...

I wouldn't go so far as to call it "fly in the face" of the old paper. It's quite accurate. For the problem it states, it gives the optimal solution. The problem we're trying to solve isn't...
Forum: Aliquot Sequences 2016-06-29, 21:49
Replies: 468
Views: 34,898
Posted By Dubslow
Or not. Someone with more resources is pushing...

Or not. Someone with more resources is pushing the sequence past me.
Forum: Aliquot Sequences 2016-06-29, 03:53
Replies: 468
Views: 34,898
Posted By Dubslow
Someone else has also found the P48, though I'm...

Someone else has also found the P48, though I'm past that and currently NFSing a C136 (should be less than 10 hours before that completes).

I will be working every number through either fully...
Forum: Aliquot Sequences 2016-06-23, 02:40
Replies: 468
Views: 34,898
Posted By Dubslow
Near completion of the t50, a p50 popped out; NFS...

Near completion of the t50, a p50 popped out; NFS on the remainder revealed a p48 and p70. It was a bit unlucky, though possibly the two digits of NFS time saved is more than the average longer...
Forum: Aliquot Sequences 2016-06-19, 01:35
Replies: 468
Views: 34,898
Posted By Dubslow
I'm slowly working towards t45 on i1634 C167.

I'm slowly working towards t45 on i1634 C167.
Forum: Aliquot Sequences 2016-06-10, 02:08
Replies: 468
Views: 34,898
Posted By Dubslow
I'll NFS the C149 here.

I'll NFS the C149 here.
Forum: Aliquot Sequences 2016-06-09, 10:54
Replies: 468
Views: 34,898
Posted By Dubslow
What's the status of this C149 or the C180 of...

What's the status of this C149 or the C180 of 3366?
Forum: Aliquot Sequences 2016-06-08, 02:30
Replies: 468
Views: 34,898
Posted By Dubslow
I'll factor it.

I'll factor it.
Showing results 1 to 19 of 19

 
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