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Forum: Prime Gap Searches 2020-03-27, 19:05
Replies: 9
Views: 869
Posted By mart_r
Recap time. In all mathematical clarity, I...

Recap time. In all mathematical clarity, I think:smile::

For each positive integer k, there is a set of values {q,p} (q: positive integer, p: prime number) such that the value for CSG is a...
Forum: Lounge 2020-03-12, 22:44
Replies: 981
Views: 49,008
Posted By mart_r
I'd much rather had seen a reply to my lasts...

I'd much rather had seen a reply to my lasts posts in the prime gap search area:hankie::wink:
Forum: Lounge 2020-03-11, 19:21
Replies: 981
Views: 49,008
Posted By mart_r
I'd recommend visiting France. I mean, what have...

I'd recommend visiting France. I mean, what have you got Toulouse?


(Don't anyone dare to reply to that rubbish now...)
Forum: Prime Gap Searches 2020-03-10, 17:21
Replies: 91
Views: 6,000
Posted By mart_r
I kindly refer to this post: ...

I kindly refer to this post:
https://www.mersenneforum.org/showpost.php?p=539165&postcount=4

(And thereby admitting that I haven't looked at the latest results 5.1e15 - 5.5e15... :redface:)
Forum: Prime Gap Searches 2020-03-09, 21:51
Replies: 24
Views: 1,682
Posted By mart_r
Nice work! :thumbs-up: Though I'm not...

Nice work! :thumbs-up:

Though I'm not currently looking for the "simple" prime gaps, I'm looking forward to do so again in the near future.
Forum: Prime Gap Searches 2020-03-09, 19:59
Replies: 9
Views: 869
Posted By mart_r
1st known example?

g / (\varphi(q) logĀ² p') = 1.0642...
r=83341
q=2p

Later...
Forum: Prime Gap Searches 2020-03-08, 15:09
Replies: 9
Views: 869
Posted By mart_r
k g p p' q ...

k g p p' q r CSG p'-style by
118 3758772 144803717 148562489 31854 27287 1.0000152764 Kourbatov/Wolf 2016
179 1885228 163504573 165389801 ...
Forum: Prime Gap Searches 2020-03-08, 14:41
Replies: 187
Views: 10,952
Posted By mart_r
Not only have I not found a 5k sized gap in the...

Not only have I not found a 5k sized gap in the current range, I didn't even find any of the first few missing ones (4239, 4266, 4289 etc.). (Though the number of output values looks okay,...
Forum: Prime Gap Searches 2020-03-08, 14:19
Replies: 3
Views: 546
Posted By mart_r
So here's some data for twin prime gaps: All...

So here's some data for twin prime gaps:

All late gaps < 4239 (k<8e15):
gap k
2 3
3 7
4 103
7 378
15 597
17 1075
Forum: Prime Gap Searches 2020-02-23, 17:06
Replies: 3
Views: 546
Posted By mart_r
Okay, so here's some data: Looking at...

Okay, so here's some data:

Looking at conventional gaps, out of 131 data points between 2*2 and 2*716,
67% of the powers of two appear as late gaps (4, 8, 16, 32, 64, 256)
30% of numbers of the...
Forum: Prime Gap Searches 2020-02-23, 16:57
Replies: 0
Views: 129
Posted By mart_r
Gaps in k-almost primes relative to 2^k, a question

Consider gaps in k-almost primes (i.e. \Omega(n)=k), relative to the size of the smallest such number, 2k.
Let k\to \infty, we have the sequence
1
1.5
2.25
2.5
3.375
3.5
3.75
5.0625
Forum: Prime Gap Searches 2020-02-15, 13:51
Replies: 91
Views: 6,000
Posted By mart_r
That's odd. I haven't encountered that behaviour...

That's odd. I haven't encountered that behaviour with either Excel 2003, 2010, or 2016. Could you elaborate on the corporate license issues? That also seems new to me, even after more than 20 years...
Forum: Prime Gap Searches 2020-02-13, 17:53
Replies: 91
Views: 6,000
Posted By mart_r
Nice. Thanks! :smile:

Nice. Thanks! :smile:
Forum: Prime Gap Searches 2020-02-12, 20:20
Replies: 187
Views: 10,952
Posted By mart_r
Reserving 7.5e15 to 8e15. Nothing special in...

Reserving 7.5e15 to 8e15.

Nothing special in my previous range, only one 5000+ gap:
5103 7181481105338907
Smallest unknown gap is still 4239, and 9 of the first 10 smallest unknown gaps are...
Forum: Prime Gap Searches 2020-02-12, 19:21
Replies: 91
Views: 6,000
Posted By mart_r
I finally got around comparing the speed of...

I finally got around comparing the speed of Thomas' and my code on my only PC that's able to run both programs.

My former code was actually slower than I thought, but the current one below is...
Forum: Prime Gap Searches 2020-02-09, 11:36
Replies: 91
Views: 6,000
Posted By mart_r
I only needed some extra space for sulking. My...

I only needed some extra space for sulking. My room wasn't big enough.:smile:

If you can't use the program right now, that's perfectly okay. All I needed was a tiny indication of how useful my...
Forum: Prime Gap Searches 2020-02-08, 19:50
Replies: 91
Views: 6,000
Posted By mart_r
Sometimes I wonder why I even bother...:unsure:

Sometimes I wonder why I even bother...:unsure:
Forum: Prime Gap Searches 2020-02-07, 20:59
Replies: 91
Views: 6,000
Posted By mart_r
Okay, so at k=2e14, i.e. p=6e15, I get a...

Okay, so at k=2e14, i.e. p=6e15, I get a throughput of up to 560e6/s or 18.7e6 k/s. Unfortunately, it drops down to under 400e6/s/core with two instances running...
With the newest hardware, I think...
Forum: Science & Technology 2020-02-06, 19:05
Replies: 2,713
Views: 139,208
Posted By mart_r
4K footage from 1896

This is something that really fascinates me:
https://futurism.com/the-byte/neural-network-old-film-into-crisp-hd
Forum: y-cruncher 2020-02-06, 18:44
Replies: 16
Views: 3,646
Posted By mart_r
For a fast speaker who can recite ten digits per...

For a fast speaker who can recite ten digits per second, and disregard any needs intrinsic to the human nature (including death), about 158,000 years. (That is, by the current measurement of years.)...
Forum: Prime Gap Searches 2020-02-06, 17:33
Replies: 91
Views: 6,000
Posted By mart_r
inquiry

What is your throughput, by the way?

I've modified my VBA program for twin gaps to search for quad gaps. It searches about 420e6 per second on the PC at my workplace (Core i5 @ 3.00 GHz). With two...
Forum: Prime Gap Searches 2020-02-03, 21:34
Replies: 187
Views: 10,952
Posted By mart_r
Twin prime gap search program for Excel/VBA

There, I sped my program up by almost 30% :smile:

If C or Perl is not an option for anybody, maybe this will do it?
'k1=start value, k2=end value, mg=mingap report...
Forum: Prime Gap Searches 2020-01-28, 19:34
Replies: 187
Views: 10,952
Posted By mart_r
No need to apologize. At the current rate, there...

No need to apologize. At the current rate, there are a couple of years to go until we reach k=85e15.




It's also partially my fault to call it "record merit". You described it as "highest...
Forum: Prime Gap Searches 2020-01-27, 19:48
Replies: 192
Views: 15,881
Posted By mart_r
That would be this subpage from the link that...

That would be this subpage from the link that storm5510 gave:
https://faculty.lynchburg.edu/~nicely/gaps/gaplist.html

Any other 'citable' pages have this page as the main source.
Forum: Prime Gap Searches 2020-01-25, 12:32
Replies: 192
Views: 15,881
Posted By mart_r
That appears to be correct. No gap of length...

That appears to be correct. No gap of length greater than 1550 has been found below 264.

ATH has searched up to 264+1015 or thereabouts, see this post:...
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