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Forum: Prime Gap Searches 2021-11-29, 11:54
Replies: 6
Views: 758
Posted By mart_r
I have uploaded some data for posterity,...

I have uploaded some data for posterity, differences d between primes pn and pn+k for k <= 130 and d <= 740, see 2nd link for A086153.
Forum: Prime Gap Searches 2021-11-17, 13:51
Replies: 6
Views: 758
Posted By mart_r
It doesn't only seem like a big gap, it's listed...

It doesn't only seem like a big gap, it's listed in A339943 as a(56), since 56=(35729-35617)/2.
I have a lot of data ready for submission, it just takes me longer to actually submit it, my schedule...
Forum: Prime Gap Searches 2021-11-09, 18:10
Replies: 6
Views: 758
Posted By mart_r
Greetings Bobby, I'd like to run these...

Greetings Bobby,

I'd like to run these numbers through Pari again before posting more inconsistent/approximate numbers. The formula with the term "-k+1" (see 1) from previous post) is only...
Forum: Prime Gap Searches 2021-11-04, 21:55
Replies: 6
Views: 758
Posted By mart_r
Gaps between non-consecutive primes

In the last few days I dug my fangs into gaps between primes pn and pn+k (with k=1 these are the usual well-known prime gaps, for k=2 see A144103, for k=3 see A339943, for k=4 see A339944).

This...
Forum: Lounge 2021-10-29, 18:26
Replies: 407
Views: 63,205
Posted By mart_r
I'll always remember the call I got one Saturday...

I'll always remember the call I got one Saturday morning from a self-proclaimed MS employee with an Indian accent. I think these are well known by now, but that particular call was before I have...
Forum: Aliquot Sequences 2021-10-28, 16:33
Replies: 4
Views: 13,679
Posted By mart_r
This should be an interesting read for some of...

This should be an interesting read for some of you here:

https://arxiv.org/abs/2110.14136
Kevin Chum, Richard K. Guy, Michael J. Jacobson Jr., Anton S. Mosunov: Numerical and Statistical Analysis...
Forum: And now for something completely different 2021-10-21, 18:46
Replies: 69
Views: 5,309
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: 69
Views: 5,309
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: 1,057
Views: 86,552
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: 747
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: 69
Views: 5,309
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: 269
Sticky: Prime Gap News
Views: 67,943
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: 1,529
Views: 161,115
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: 69
Views: 5,309
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: 2,566
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: 2,566
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: 31,699
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: 31,699
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: 4,402
Views: 376,721
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: 24,462
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: 516
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: 56,272
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: 14,192
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: 2,566
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: 2,566
Posted By mart_r
:davar55: I knew it! Highlight my post # 7 to...

:davar55: I knew it! Highlight my post # 7 to check...
Showing results 1 to 25 of 686

 
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