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Forum: Prime Gap Searches 2020-09-26, 20:14
Replies: 218
Views: 21,095
Posted By mart_r
I suppose you mean the range between 1e16 and...

I suppose you mean the range between 1e16 and 1.05e16 - I've changed those in the list in my previous post accordingly.
Forum: Prime Gap Searches 2020-09-26, 19:33
Replies: 218
Views: 21,095
Posted By mart_r
Results 11e15

The next missing gaps are 4427, 4436, 4489, 4509, 4556.
(You won't find 4266, 4439, and 4532 in the attached list, but these have first occurence k between 11.1e15 and 11.2e15. Below 5000 there are...
Forum: Lounge 2020-09-26, 18:16
Replies: 414
Views: 16,331
Posted By mart_r
A fun thread which deserves reviving, methinks. ...

A fun thread which deserves reviving, methinks.

Here's a number that I hope will increase during the next few years:

1432
Forum: Prime Gap Searches 2020-09-25, 12:45
Replies: 140
Views: 13,067
Posted By mart_r
Bobby, please stop doing that. Anyway, while...

Bobby, please stop doing that.

Anyway, while we're at it...
@ ATH: I'd still be interested to know a bit more about your calculation above 264 here:...
Forum: Prime Gap Searches 2020-09-21, 15:06
Replies: 143
Sticky: Prime Gap News
Views: 20,801
Posted By mart_r
I thought that one might want to have a quick...

I thought that one might want to have a quick check which gaps need verification.


I was also worried about the several megabytes those lists would take up.
Giving only the list of numbers with...
Forum: Prime Gap Searches 2020-09-20, 20:13
Replies: 143
Sticky: Prime Gap News
Views: 20,801
Posted By mart_r
It's only a crummy sieve via Pari, about 20...

It's only a crummy sieve via Pari, about 20 minutes to less than 1G, without keeping factors.:down:

But I definitely keep it in mind should I ever aim for a 10M gap.
Forum: Prime Gap Searches 2020-09-20, 14:34
Replies: 143
Sticky: Prime Gap News
Views: 20,801
Posted By mart_r
Sounds okay to me. Is there an extra query...

Sounds okay to me.

Is there an extra query available for all the yet not fully verified gaps?
Forum: Prime Gap Searches 2020-09-19, 12:05
Replies: 143
Sticky: Prime Gap News
Views: 20,801
Posted By mart_r
Thanks! I'll be looking for smaller gaps for...

Thanks!

I'll be looking for smaller gaps for the rest of the year.:smile:
Forum: Prime Gap Searches 2020-09-18, 18:22
Replies: 82
Views: 9,250
Posted By mart_r
I guess I'm trying to argue that there may be...

I guess I'm trying to argue that there may be only finitely many gaps of length > (log x)².

So I thought there may be an error in my outlined reasoning (worth elaborating...?) that one of the...
Forum: Prime Gap Searches 2020-09-18, 13:40
Replies: 82
Views: 9,250
Posted By mart_r
I suppose my rambling theories are, as the saying...

I suppose my rambling theories are, as the saying goes, "not even wrong". Right?
Forum: Prime Gap Searches 2020-09-18, 11:25
Replies: 143
Sticky: Prime Gap News
Views: 20,801
Posted By mart_r
So now, as promised, some new large gaps, ready...

So now, as promised, some new large gaps, ready for a doublecheck:
1363608 90547#/9699690-366998
900144 90583#/9699690-523646
971716 90647#/223092870-359938
1293962 90679#/223092870-873966...
Forum: Prime Gap Searches 2020-09-14, 12:57
Replies: 82
Views: 9,250
Posted By mart_r
Thanks, Dana. That's quite an interesting read...

Thanks, Dana. That's quite an interesting read indeed.


The behaviour of aM is only a prelude to a known line of probabilistic reasoning, isn't it?
(1-\frac{1}{\log x})^{M(\log...
Forum: Prime Gap Searches 2020-09-13, 09:26
Replies: 218
Views: 21,095
Posted By mart_r
4239 has fallen. Twice. Reserving 1.1e16 to...

4239 has fallen. Twice.

Reserving 1.1e16 to 1.15e16.
Forum: Prime Gap Searches 2020-09-12, 08:56
Replies: 143
Sticky: Prime Gap News
Views: 20,801
Posted By mart_r
Can I submit megagaps with primes in the 39000+...

Can I submit megagaps with primes in the 39000+ digits range via the cloudygo window or is it advisable to rather post them here?
Forum: Prime Gap Searches 2020-09-08, 15:57
Replies: 27
Views: 5,444
Posted By mart_r
number crunching and munching...

The computation has now reached 1013 for all q<=1000.

Summary for the 13-digit range of p:
No new record CSG was found between p=1012 and 1013.
The largest CSG in that range was 0.9687994043 for...
Forum: Miscellaneous Math 2020-09-08, 15:23
Replies: 56
Views: 3,154
Posted By mart_r
I wrote two different programs, one in Excel/VBA...

I wrote two different programs, one in Excel/VBA and one in Pari, both of those were about or almost half as fast as the Perl program I was using at the time (which was not mine; I'm not yet familiar...
Forum: Miscellaneous Math 2020-08-28, 15:16
Replies: 56
Views: 3,154
Posted By mart_r
Could this code be used to search for gaps...

Could this code be used to search for gaps between prime twins? It seems it has the potential to be faster than the code I'm using.
Forum: Prime Gap Searches 2020-08-28, 15:06
Replies: 218
Views: 21,095
Posted By mart_r
Will do. All of your gaps or only these last two?

Will do. All of your gaps or only these last two?
Forum: Prime Gap Searches 2020-08-26, 16:14
Replies: 82
Views: 9,250
Posted By mart_r
The quest for exceptionally large gaps: challenging Granville

The title should be turned into a movie, methinks...

Usually we would expect that a gap of at least merit M (=gap/log(p)) appears asymptotically with probability e^{-M} between two consecutive...
Forum: Prime Gap Searches 2020-08-26, 15:39
Replies: 218
Views: 21,095
Posted By mart_r
Thanks! That's two new first occurences, for 4426...

Thanks! That's two new first occurences, for 4426 and 4617.
I'm at ~ 80% with my current range. Still no 4239, which is becoming a bit disturbing by now...:smile:


Any range above 1.1e16 is...
Forum: Miscellaneous Math 2020-08-26, 15:15
Replies: 56
Views: 3,154
Posted By mart_r
I did just about the same calculations two years...

I did just about the same calculations two years ago until I concocted a Pari program that lets you find the number of gaps up to gap size = 212 in "prime generators", as I understand it, the ring of...
Forum: Prime Gap Searches 2020-08-08, 12:52
Replies: 27
Views: 5,444
Posted By mart_r
Specifically, between 5*1012 and 7.3*1012 for...

Specifically, between 5*1012 and 7.3*1012 for q<=1000 the largest CSG is about 0.8849, which puts a large question mark behind ever finding another gap that is larger than both q² and \varphi(q) *...
Forum: Prime Gap Searches 2020-08-05, 21:11
Replies: 27
Views: 5,444
Posted By mart_r
From day to day I anticipated another result...

From day to day I anticipated another result where q and r would both be prime, but to no avail. These are some of the most frustratingly near misses:

q phi k p CSG ...
Forum: Lounge 2020-07-31, 20:18
Replies: 47
Views: 1,928
Posted By mart_r
Supercalifragilisticexpialidocious! 2021 ...

Supercalifragilisticexpialidocious!

2021
a
a1call's
abbreviations
abound
about
activities
adjectives
Forum: Science & Technology 2020-07-30, 21:12
Replies: 66
Views: 9,743
Posted By mart_r
Is Science & Technology coming to a standstill?

I guess it's more like:

"Human evolution has been stopped by superfluous technology..."

https://www.youtube.com/watch?v=Q0VGRlEJewA

"... and Biff reigns supreme."
Showing results 1 to 25 of 580

 
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