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Forum: And now for something completely different 2021-10-21, 18:46
Replies: 41
Views: 2,861
Posted By mart_r
Try one term less in the search and you'll find...

Try one term less in the search and you'll find A083409.
Forum: And now for something completely different 2021-10-21, 18:14
Replies: 41
Views: 2,861
Posted By mart_r
Fabelhaft! :bow: Call me naive, but I...

Fabelhaft! :bow:



Call me naive, but I believe the first numbers of 6-tuplets can be restricted to 97 mod 210... have only looked at the first few examples though.
Forum: Lounge 2021-10-20, 19:02
Replies: 1,047
Views: 83,840
Posted By mart_r
Kinda reminded me of this one (though, could've...

Kinda reminded me of this one (though, could've been another song on another day):
L7hch0wQD1w


I still have a penchant to bring this one up when I feel like it:smile::
kyk4-wS3rv4


For...
Forum: MattcAnderson 2021-10-11, 19:49
Replies: 9
Views: 614
Posted By mart_r
Depends on whether the tree makes a noise when...

Depends on whether the tree makes a noise when nobody watches as I fall over the woods...:ermm:
Forum: And now for something completely different 2021-10-11, 18:48
Replies: 41
Views: 2,861
Posted By mart_r
That's some especially nice data. Have you...

That's some especially nice data. Have you considered updating A055737, A125517, A063501 etc.? (The latter was one of my first submissions to OEIS. Back in the day, I was excited to have a program to...
Forum: Prime Gap Searches 2021-09-09, 20:15
Replies: 261
Sticky: Prime Gap News
Views: 65,594
Posted By mart_r
arXiv news

https://arxiv.org/abs/2109.03681

I'm not quite convinced yet, even if I only understand rather little of the paper. Especially, on page 3, the set H = {0, 2, 6, 8, 12, 14, 18, 20} is not...
Forum: Lounge 2021-08-27, 17:49
Replies: 1,493
Views: 155,469
Posted By mart_r
If only it wasn't so predictable...

If only it wasn't so predictable...
Forum: And now for something completely different 2021-08-21, 11:40
Replies: 41
Views: 2,861
Posted By mart_r
Gute Arbeit!:bow: I'd vote for...

Gute Arbeit!:bow:



I'd vote for "earliest discovery of 100 (1000 etc.) digits".
Then you may add "first appearances of ... digits", as you have also calculated them, as well, maybe with a link...
Forum: Other Mathematical Topics 2021-08-06, 14:07
Replies: 14
Views: 2,362
Posted By mart_r
I'm afraid not. n! grows slower per step, leaving...

I'm afraid not. n! grows slower per step, leaving not enough room for primes of size y*n!.
With this regard, p# has just the "right" growth rate. Any slower rate would not result in an infinite...
Forum: Other Mathematical Topics 2021-08-05, 17:50
Replies: 14
Views: 2,362
Posted By mart_r
That playground is gigantonormous!

Updated and polished, just a little. Added "higher-order descendants" (page 19).
This is a "MS print to PDF" version, while the one in the OP was a "FreePDF print" version; each version comes with...
Forum: Prime Gap Searches 2021-08-01, 15:39
Replies: 133
Views: 31,091
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: 133
Views: 31,091
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: 4,379
Views: 369,590
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: 274
Views: 22,846
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: 440
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: 55,487
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: 13,824
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: 14
Views: 2,362
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: 14
Views: 2,362
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: 14
Views: 2,362
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: 440
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: 20,901
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: 14
Views: 2,362
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: 63
Views: 7,418
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: 20,901
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 <...
Showing results 1 to 25 of 680

 
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