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Forum: Other Mathematical Topics 2021-05-14, 16:30
Replies: 5
Views: 409
Posted By mart_r
Wuthering heights

Here's an updated version of Table 7, currently at level 1723. (Preliminary, as you can tell n* is backtracked from the currently calculated stage, not stage 294 as mentioned in the PDF.)
I let one...
Forum: Prime Gap Searches 2021-05-14, 15:58
Replies: 42
Views: 16,074
Posted By mart_r
Sorry for the delay, but I was waiting for new...

Sorry for the delay, but I was waiting for new results from my workplace PC.
As far as I can see, we may not find a CSG much larger than 1.288... (see post # 28). I doubt that CSG > 1.4 is ever...
Forum: Prime Gap Searches 2021-05-09, 18:51
Replies: 246
Sticky: Prime Gap News
Views: 51,619
Posted By mart_r
One of my 3M+ gaps is final! 3397520 15.1751 ...

One of my 3M+ gaps is final!
3397520 15.1751 224423#/102233201070-1888326

The other is still pending, but will be >4M now.
Until then, for good measure, here's a sub-3M gap too:
2675288 ...
Forum: Prime Gap Searches 2021-05-09, 17:56
Replies: 42
Views: 16,074
Posted By mart_r
Major Tom to Ground Control

max. p searched:
q <= 1000: 2.000e+13
1000 < q <= 2690: 1.957e+13
2690 < q <= 4566: 5.851e+12
4566 < q <= 1e+5: 2.755e+11
1e+5 < q <= 2e+5: 1.764e+11
2e+5 < q <= 5e+5: 8.800e+10
5e+5 <...
Forum: And now for something completely different 2021-05-09, 17:48
Replies: 60
Views: 3,087
Posted By mart_r
:w00t:That's amazing, truly amazing!! (Would ...

:w00t:That's amazing, truly amazing!!
(Would like to insert a picture of an anime character by the name of Enzo Garcia here, but I doubt anybody here knows him and shares my specific amazement : ...
Forum: Lounge 2021-05-04, 20:09
Replies: 40
Views: 2,838
Posted By mart_r
Gorillaz - 5/4:smile: ...

Gorillaz - 5/4:smile:
https://www.youtube.com/watch?v=93jsY-YdZ1s
Forum: Prime Gap Searches 2021-05-04, 16:44
Replies: 246
Sticky: Prime Gap News
Views: 51,619
Posted By mart_r
Are you able to read in my factors (which will be...

Are you able to read in my factors (which will be a list of numbers in said range relevant to the gap) and search for smaller and (if necessary) larger factors yourself?
Depending on your numbers...
Forum: Prime Gap Searches 2021-05-03, 21:11
Replies: 246
Sticky: Prime Gap News
Views: 51,619
Posted By mart_r
I've got two 3M+ gaps in the offing. When the...

I've got two 3M+ gaps in the offing.
When the bounding primes are found, I'd like to post them here together with a list of factors between 10^10 and ~4*10^11 that should help with the sieving...
Forum: Prime Gap Searches 2021-04-28, 08:33
Replies: 37
Views: 1,895
Posted By mart_r
Last time I checked, and that was the day before...

Last time I checked, and that was the day before yesterday, these were 18 improvements in merit and 3 new entries.
Forum: Prime Gap Searches 2021-04-27, 21:03
Replies: 37
Views: 1,895
Posted By mart_r
The cloudygo page doesn't seem to like such big...

The cloudygo page doesn't seem to like such big numbers, so I attached them here (format: gap merit prime_start).

I took one of Raph's Henry's offsets, discarded the factor 7993 (i.e. offset mod...
Forum: Prime Gap Searches 2021-04-26, 16:07
Replies: 37
Views: 1,895
Posted By mart_r
I've found a couple of gaps for the list. ...

I've found a couple of gaps for the list.
Option 1) Submitting the full numbers with about 3420 digits each
Option 2) Submitting the numbers in the shortened form m*p#/d-x, but then they would...
Forum: Other Mathematical Topics 2021-04-25, 09:42
Replies: 5
Views: 409
Posted By mart_r
:lol: I've already had an idea that...

:lol:



I've already had an idea that leads into this direction. A version of the table including the monotonely increasing number of surviving primes shouldn't pose much of a problem to me.
...
Forum: Other Mathematical Topics 2021-04-23, 21:56
Replies: 5
Views: 409
Posted By mart_r
A prime number "game of life": can floor(y*p#) always be prime?

An old pet project of mine, revamped.

If it's in any way possible I would like to turn this into a fully-fledged arXiv paper, so any suggestion on how to proceed with the work in the attachment is...
Forum: Prime Gap Searches 2021-04-13, 20:17
Replies: 42
Views: 16,074
Posted By mart_r
Jeg har mye mer data...

Fooling around with the data for the first prime in an arithmetic progression, I noticed a peculiar pattern regarding the chance that p/[[$]\varphi[/$](q)*log²p] > x for increasing values of x.
...
Forum: Prime Gap Searches 2021-04-08, 20:47
Replies: 42
Views: 16,074
Posted By mart_r
Ich hab noch mehr Daten...

More data, dedicated to science.

While I'm at it, I also search for the largest instance per q of the least prime in an arithmetic progression p=k*q+r. The most recent work I could find on this is...
Forum: Prime Gap Searches 2021-04-02, 10:35
Replies: 37
Views: 1,895
Posted By mart_r
These are some exciting news! I'm going to do...

These are some exciting news!
I'm going to do some tests with the numbers in the coming days.
Forum: ONeil 2021-04-02, 07:37
Replies: 86
Views: 3,696
Posted By mart_r
Well, in some countries, people are dying in an...

Well, in some countries, people are dying in an unprecedented manner, especially in Brazil.
Certainly some of them died after they got their jab.
But I strongly doubt there is much of a correlation...
Forum: Other Mathematical Topics 2021-03-28, 17:55
Replies: 1
Views: 263
Posted By mart_r
Well, maybe that was too specific. BTW, I...

Well, maybe that was too specific.

BTW, I already went through some works of Maier, Cadwell, and related works of Granville, Pintz and some others, and was hoping I overlooked some lesser-known...
Forum: Other Mathematical Topics 2021-03-27, 17:37
Replies: 1
Views: 263
Posted By mart_r
Bandwidth of #coprimes to p# in intervals of fixed length

At the moment I'm interested in the behavior of numbers coprime to p#, or p-quasiprimes, as they are also called.

Specifically, a question regarding the bandwidth of the number of coprimes that...
Forum: Science & Technology 2021-03-21, 20:24
Replies: 205
Views: 11,299
Posted By mart_r
My mom (80) had her first BioNTech/Pfizer shot on...

My mom (80) had her first BioNTech/Pfizer shot on Wednesday. Apart from feeling a bit tired - as she mostly does - she didn't mention any other side effects.
Forum: Prime Gap Searches 2021-03-21, 20:06
Replies: 45
Views: 17,102
Posted By mart_r
Thanks a lot! Though my tablet has problems...

Thanks a lot!
Though my tablet has problems downloading/viewing the list, my dinosaur PC with a direct cable connection to the web handles it nicely and fast.:smile:
Forum: Miscellaneous Math 2021-03-20, 16:49
Replies: 58
Views: 1,628
Posted By mart_r
You will very rarely hear such a statement from...

You will very rarely hear such a statement from anyone who really is good at math...
Forum: Prime Gap Searches 2021-03-20, 12:30
Replies: 45
Views: 17,102
Posted By mart_r
I recognize that search strategy.:smile: You...

I recognize that search strategy.:smile:
You get about 10% higher merits in the range around p# + or - p² than in a random search.
Still not as efficient as the deficient primorials though, but...
Forum: And now for something completely different 2021-03-11, 17:58
Replies: 36
Views: 3,827
Posted By mart_r
:shock: Wow. And those new 13-tuplets...

:shock: Wow.


And those new 13-tuplets will knock my two precious 13-tuplets off the top-10-list:sad:
Aber Ehre wem Ehre gebührt:thumbs-up:
Forum: Prime Gap Searches 2021-03-06, 10:27
Replies: 11
Views: 816
Posted By mart_r
There hasn't been significant progress since...

There hasn't been significant progress since then, mostly because the program for the exhaustive search is rather inefficient for numbers larger than 264.

ATH has searched a little further:...
Showing results 1 to 25 of 652

 
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