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Forum: Prime Gap Searches 2021-08-01, 15:39
Replies: 130
Views: 28,739
Posted By mart_r
Not until now. It looks quite intriguing - thanks...

Not until now. It looks quite intriguing - thanks for pointing me to it.
Forum: Prime Gap Searches 2021-08-01, 13:40
Replies: 130
Views: 28,739
Posted By mart_r
I'd like to ask if anybody could confirm or...

I'd like to ask if anybody could confirm or refute the following, or whether I'm just misunderstanding something:

I do not believe that the upper bound of (1.12) in 1908.08613...
Forum: Lounge 2021-07-25, 10:54
Replies: 4,343
Views: 350,677
Posted By mart_r
Just a minor technicality...:smile: ...

Just a minor technicality...:smile:

https://futurism.com/the-byte/fox-news-russian-jet-twice-speed-light
Forum: Science & Technology 2021-07-23, 18:51
Replies: 233
Views: 16,723
Posted By mart_r
Arm was only mildly sore, as is common after...

Arm was only mildly sore, as is common after other injections, but other than that, no distinctive side effects at all.
Forum: Other Mathematical Topics 2021-07-19, 18:48
Replies: 1
Views: 258
Posted By mart_r
Let me admit at this point that I still don't...

Let me admit at this point that I still don't seem to understand how to approximate pi(x) by employing the nontrivial zeta zeroes, specifically how I achieve sufficient convergence of x^(1/2 ± t i)...
Forum: Prime Gap Searches 2021-07-19, 18:00
Replies: 228
Views: 52,891
Posted By mart_r
"It's me again, Margaret..."

Next potentially maximal (*) gap between twin primes:
k = 11746421814062897 / gap to next k: 5940

Corresponding to the twin primes
70478530884377382 ± 1
and
70478530884413022 ± 1

Merit:...
Forum: Prime Gap Searches 2021-07-19, 17:56
Replies: 43
Views: 12,687
Posted By mart_r
Well, in the links section for A001223, there are...

Well, in the links section for A001223, there are 100000 terms, and if you scroll further down there are also programs with which you can generate the data.


Like Robert said, it's easy to...
Forum: Other Mathematical Topics 2021-06-28, 19:20
Replies: 11
Views: 1,559
Posted By mart_r
Yeah, but I don't hold a grudge against those...

Yeah, but I don't hold a grudge against those primes, it's still interesting enough that there's a unique solution up to level 191. I may compare this to the luck that Euler's number 41 has (i.e. the...
Forum: Other Mathematical Topics 2021-06-23, 21:22
Replies: 11
Views: 1,559
Posted By mart_r
:davar55: I knew it! Highlight my post # 7 to...

:davar55: I knew it! Highlight my post # 7 to check...
Forum: Other Mathematical Topics 2021-06-23, 20:10
Replies: 11
Views: 1,559
Posted By mart_r
And that was me relying too much on German...

And that was me relying too much on German grammar, which makes it funny in a non-intentional way - and because I'm not able to edit, I just make a new post.
It should read *Throws a single...
Forum: Other Mathematical Topics 2021-06-23, 16:29
Replies: 1
Views: 258
Posted By mart_r
A probabilistic measure arising in approximating pi(x) / Question

Given the logarithmic integral
[$$]Li(x) = \int_2^x \frac{dt}{\log t}[/$$]
and the smooth part of Riemann's prime counting formula as the equivalent of the Gram series
[$$]R(x) =...
Forum: Prime Gap Searches 2021-06-23, 16:12
Replies: 45
Views: 19,621
Posted By mart_r
One last thing...

Well, these came in just today (I'm analyzing the data for 2692 <= q <= 4566 on a weekly basis):

q = 3796, gap = 1560156, p = 9585778010467.
Alas the gap is smaller than q2, but it's only the...
Forum: Other Mathematical Topics 2021-06-23, 16:05
Replies: 11
Views: 1,559
Posted By mart_r
Here's the updated table 7 for you, including the...

Here's the updated table 7 for you, including the Pari program where I previously forgot to adjust the variable names to the text.

And here's a decuplet too: (193,057th prime of s = 289) * 1,889 +...
Forum: Prime Gap Searches 2021-06-20, 14:59
Replies: 34
Views: 2,407
Posted By mart_r
Congrats! That's a spectacular result, albeit a...

Congrats! That's a spectacular result, albeit a rather lucky one.:smile:
At the current rate of progress, I wouldn't have expected the next maximal gap to be found so soon.
Forum: Prime Gap Searches 2021-06-20, 14:55
Replies: 45
Views: 19,621
Posted By mart_r
(Currently somewhere in-between watching "PJ Masks" and "Kuroko's Basketball"...)

max. p searched:
q <= 2690: 2.140e+13
2690 < q <= 4566: 9.076e+12
4566 < q <= 1e+5: 2.755e+11
1e+5 < q <= 2e+5: 1.764e+11
2e+5 < q <= 5e+5: 9.100e+10
5e+5 < q <= 1e+6: 2.800e+10
1e+6 <...
Forum: Science & Technology 2021-06-11, 20:00
Replies: 233
Views: 16,723
Posted By mart_r
1st shot BioNTech/Pfizer on Tuesday, with no side...

1st shot BioNTech/Pfizer on Tuesday, with no side effects beside a very mild sting in the arm for some hours. (Yes, they took the needle out after the shot :smile:). The medical staff at our...
Forum: Prime Gap Searches 2021-06-06, 10:59
Replies: 258
Sticky: Prime Gap News
Views: 60,716
Posted By mart_r
Many many thanks ATH! My next gaps will be...

Many many thanks ATH!

My next gaps will be smaller in both number size and gap size.
Forum: Prime Gap Searches 2021-05-18, 19:48
Replies: 258
Sticky: Prime Gap News
Views: 60,716
Posted By mart_r
You're the best!:tu: The other gap finally...

You're the best!:tu:

The other gap finally got empocketed this morning.
4397298 19.6406 224423#/107371994730-2375864

Factors between 1e9 and 414e9 attached.



primegapworks.org? I'm not...
Forum: Other Mathematical Topics 2021-05-14, 16:30
Replies: 11
Views: 1,559
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: 45
Views: 19,621
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: 258
Sticky: Prime Gap News
Views: 60,716
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: 45
Views: 19,621
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: 63
Views: 5,493
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: 41
Views: 3,661
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: 258
Sticky: Prime Gap News
Views: 60,716
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...
Showing results 1 to 25 of 670

 
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