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 Showing results 1 to 25 of 686 Search took 0.09 seconds. Search: Posts Made By: mart_r
 Forum: Prime Gap Searches 2021-11-29, 11:54 Replies: 6 Views: 792 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: 792 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: 792 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: 792 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: 63,223 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: 13,685 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...
 2021-10-21, 18:46 Replies: 69 Sticky: new prime k-tuplet page Views: 5,350 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.
 2021-10-21, 18:14 Replies: 69 Sticky: new prime k-tuplet page Views: 5,350 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: 86,588 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: 750 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:
 2021-10-11, 18:48 Replies: 69 Sticky: new prime k-tuplet page Views: 5,350 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: 67,978 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: 161,227 Posted By mart_r If only it wasn't so predictable... If only it wasn't so predictable...
 2021-08-21, 11:40 Replies: 69 Sticky: new prime k-tuplet page Views: 5,350 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...
 2021-08-06, 14:07 Replies: 14 Views: 2,574 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...
 2021-08-05, 17:50 Replies: 14 Views: 2,574 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: 31,711 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: 31,711 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: 376,820 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 Sticky: Poll: COVID vaccination wavefront Views: 24,482 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.
 2021-07-19, 18:48 Replies: 1 Views: 518 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: 56,295 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: 14,204 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...
 2021-06-28, 19:20 Replies: 14 Views: 2,574 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...
 2021-06-23, 21:22 Replies: 14 Views: 2,574 Posted By mart_r :davar55: I knew it! Highlight my post # 7 to... :davar55: I knew it! Highlight my post # 7 to check...
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