Prime Gap News - Page 2

danaj · 2015-09-08, 03:57

Similar to your graph. To avoid extending it out very far I lump all the 300k+ into one bucket. I did this by putting together all the submission data, not looking at which records are still held, and not removing ones that were later overwritten by myself or others. 19 submissions in 2014, 12 in 2015.

Since I'm running so many different search types, the shape of mine looks very different than yours. In 2014 I had a dip in the 50-80k range for some reason (speculation: this may be a reflection of 70k-120k just being easier to get records that year). In 2015 I've had more searches going on in that range, but now a big dip in the 36k-46k range. I suspect that's because most of my very long running searches have moved up to the 50k+ range, but I started a few new ones that have pushed up the small sizes.

danaj · 2015-09-08, 04:31

You said you were getting 125 gaps/week/core, which is about 18 gaps/day/core.

My best two searches are at 19-21 gaps/day/core. They're right in that good spot of 80-110k now.

I have one running in the 20k range getting 11 gaps/day/core which I think is fantastic given the ~20 minimum merit for a record.

Another two are getting about 10-11 gaps/day/core running a bit before and a bit after that most-efficient spot.

15 searches are in the 2-4 gaps/day/core range, mostly stuck in the 30k to 60k range.
11 searches are in the 1-2 gaps/day/core range, also in that 30kish range.

Here's a fun one. I have 4 active searches that have found nothing in the last 6 days. I'll move them to something more productive.

robert44444uk · 2015-09-12, 14:14

Quote:

Originally Posted by danaj

I'm not sure what to think of the "running code based on Perl" after my name :). I wrote GMP code plus an interface to Perl, and various scripts that use it in Perl. Perhaps everyone else should have "running code based on C, libc, libm, and GMP/gwnum" added :). Of course big kudos to Torbjörn and the other GMP devs, plus Baillie, Wagstaff, Selfridge, Crandall, Pomerance, Cohen, etc. without whom I'd have nothing. Plus encouragement of other open source devs/writers like Kim Walisch, Wojciech Izykowski, David Cleaver, Mario Roy, the Pari/GP team, CRG IV, TOeS, etc. The list could go on a long time.

If I have seen further than others, it is by standing upon the shoulders of giants

Read more at http://www.brainyquote.com/quotes/au...u21c7Jlf15c.99

Antonio · 2015-09-16, 16:23

Quote:

Originally Posted by danaj

There sure are a lot more frequent updates now than before the threads here. I'm not sure if Antonio Key is using his own software or, since he's on this forum and started submitting after my post, using my code. Dr. Nicely may not care any more -- he used to be more strict (e.g. everyone using TOeS's codes has TOS in their abbreviated name, similar with JKA).

OK I admit it! I'm using variations on your Perl script Primegap1.pl

I thought I had informed Dr. Nicely of this in my first submission to him, but on checking back I had not, sorry. This has been corrected in my email to him today.

danaj · 2015-09-16, 16:56

I want to make sure I get that EFF check!

What? That's for something different? Well there goes that retirement plan....

robert44444uk · 2015-09-29, 17:23

Interesting to see the winners and losers since I started my searching:

Code:

Jacobsen		34162	39977	5815
Rosnthal		2649	8333	5684
MJPC&JKA		10076	6816	-3260
M.Jansen		7067	5164	-1903
RobSmith		0	3634	3634
Spielaur		2931	2575	-356
PierCami		2240	1571	-669
Gapcoin		722	1082	360
TorAlmJA		1061	643	-418
Toni_Key		0	800	800
Andersen		241	153	-88
Be.Nyman		121	121	0
RP.Brent		120	120	0
TRNicely		95	95	0
LndrPrkn		72	72	0
Yng&Ptlr		71	71	0
TOeSilva		70	70	0
HrzogTOS		52	52	0
Glaisher		43	43	0
DHLehmer		38	38	0
JLGPardo		27	19	-8
MrtnRaab		20	15	-5
GABandAR		12	12	0
PardiTOS		9	9	0
RosntlJA		8	8	0
DonKnuth		6	6	0
RosntlJF		7	6	-1
LLnhardy		4	4	0
Weslwski		5	4	-1
PDeGeest		3	3	0
AEWestrn		3	3	0
H.Dubner		5	2	-3
ML.Brown		2	2	0
CKernTOS		2	2	0
JamesFry		2	2	0
JRdrgTOS		2	2	0
MJandJKA		2	2	0
APinhTOS		1	1	0
ATeixTOS		1	1	0
CBastTOS		1	1	0
Euclid		1	1	0
JFNSTOeS		1	1	0
TAlmFMJA		1	1	0
YPPauloR		1	1	0

The thing is, come back in 100 years, and some of those with very few will still be there! if the top 10 finders stopped now, the chances of them having, in total, no more than 50 records is quite high.

danaj · 2015-09-29, 20:09

All but one of the ones going down are no longer doing submissions. JKA has a bazillion projects going on -- I keep finding his records or work in many areas of this hobby (the latest being prime clusters / constellations / k-tuples).

Rosenthal did a huge submission all at once, and I presume he's still running more. There's a lot of overlap in his searches and ours.

Spielauer is an interesting one, as it seems most of his current work is in the 30-70 digit range, but he had quite a few larger results that are getting hit by Gapcoin. I occasionally take one (looks like 22 total over the last 2 weeks). The current records in this range are fairly high so while each test is very fast, finding records is hard.

robert44444uk · 2015-10-01, 07:54

The new list is out - movers:

Code:

Toni_Key		934
RobSmith		879
Gapcoin		-1
JLGPardo		-1
Andersen		-4
PierCami		-16
TorAlmJA		-22
M.Jansen		-45
MJPC&JKA		-79
Jacobsen		-385
Rosnthal		-541
		
New gaps		719

danaj · 2015-10-08, 00:16

New graph. Arguably too many people on it to follow.

Gapcoin has two major lines. You can see Rosenthal's lines (k*M#/30 with each line being a particular M) as well as a few of my similar ones. While each update sees MJPCJKA drop a few more, there are still substantial clouds of their results.

robert44444uk · 2015-10-08, 10:21

Quote:

Originally Posted by danaj

New graph. Arguably too many people on it to follow.

Gapcoin has two major lines. You can see Rosenthal's lines (k*M#/30 with each line being a particular M) as well as a few of my similar ones. While each update sees MJPCJKA drop a few more, there are still substantial clouds of their results.

Massively beautiful.

Another good graph would show the changes say since the start of 2015 to show where work is happening.

Antonio · 2015-10-08, 16:58

Quote:

Originally Posted by robert44444uk

Massively beautiful.

Another good graph would show the changes say since the start of 2015 to show where work is happening.

Agreed, another good one would be with Dana's massive contribution removed - give us a chance to see where others are working more easily

.

Here's one just showing my work, a lot of which is off to the right of Dana's graph.

Edited to add a graph of Rob's work.

2015-09-08, 03:57	#12
danaj "Dana Jacobsen" Feb 2011 Bangkok, TH 38A₁₆ Posts	Similar to your graph. To avoid extending it out very far I lump all the 300k+ into one bucket. I did this by putting together all the submission data, not looking at which records are still held, and not removing ones that were later overwritten by myself or others. 19 submissions in 2014, 12 in 2015. Since I'm running so many different search types, the shape of mine looks very different than yours. In 2014 I had a dip in the 50-80k range for some reason (speculation: this may be a reflection of 70k-120k just being easier to get records that year). In 2015 I've had more searches going on in that range, but now a big dip in the 36k-46k range. I suspect that's because most of my very long running searches have moved up to the 50k+ range, but I started a few new ones that have pushed up the small sizes. Attached Thumbnails Last fiddled with by danaj on 2015-09-08 at 03:59

2015-10-01, 07:54	#19
robert44444uk Jun 2003 Oxford, UK 77E₁₆ Posts	The new list is out - movers: Code: Toni_Key 934 RobSmith 879 Gapcoin -1 JLGPardo -1 Andersen -4 PierCami -16 TorAlmJA -22 M.Jansen -45 MJPC&JKA -79 Jacobsen -385 Rosnthal -541 New gaps 719

2015-10-08, 00:16	#20
danaj "Dana Jacobsen" Feb 2011 Bangkok, TH 906₁₀ Posts	New graph. Arguably too many people on it to follow. Gapcoin has two major lines. You can see Rosenthal's lines (k*M#/30 with each line being a particular M) as well as a few of my similar ones. While each update sees MJPCJKA drop a few more, there are still substantial clouds of their results. Attached Thumbnails

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2015-09-08, 04:31	#13
danaj "Dana Jacobsen" Feb 2011 Bangkok, TH 906₁₀ Posts	You said you were getting 125 gaps/week/core, which is about 18 gaps/day/core. My best two searches are at 19-21 gaps/day/core. They're right in that good spot of 80-110k now. I have one running in the 20k range getting 11 gaps/day/core which I think is fantastic given the ~20 minimum merit for a record. Another two are getting about 10-11 gaps/day/core running a bit before and a bit after that most-efficient spot. 15 searches are in the 2-4 gaps/day/core range, mostly stuck in the 30k to 60k range. 11 searches are in the 1-2 gaps/day/core range, also in that 30kish range. Here's a fun one. I have 4 active searches that have found nothing in the last 6 days. I'll move them to something more productive.

2015-09-16, 16:56	#16
danaj "Dana Jacobsen" Feb 2011 Bangkok, TH 2×3×151 Posts	I want to make sure I get that EFF check! What? That's for something different? Well there goes that retirement plan....

2015-09-29, 20:09	#18
danaj "Dana Jacobsen" Feb 2011 Bangkok, TH 2×3×151 Posts	All but one of the ones going down are no longer doing submissions. JKA has a bazillion projects going on -- I keep finding his records or work in many areas of this hobby (the latest being prime clusters / constellations / k-tuples). Rosenthal did a huge submission all at once, and I presume he's still running more. There's a lot of overlap in his searches and ours. Spielauer is an interesting one, as it seems most of his current work is in the 30-70 digit range, but he had quite a few larger results that are getting hit by Gapcoin. I occasionally take one (looks like 22 total over the last 2 weeks). The current records in this range are fairly high so while each test is very fast, finding records is hard.