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-   Prime Gap Searches (https://www.mersenneforum.org/forumdisplay.php?f=131)
-   -   4e18-5e18 (https://www.mersenneforum.org/showthread.php?t=22187)

ldesnogu 2017-06-22 11:07

Reserving 4540-4545.

Antonio 2017-06-22 13:48

[QUOTE=ldesnogu;461761]That's what I did, I just wanted to be sure the output of the program was meaningful :smile:

Again thanks all for your help.[/QUOTE]If the 15e9 throughput was measured using the 1e12 test range suggested, quite correctly, by Thomas11 then you can expect about a 10% increase in throughput when doing a full 1e15 range, due to reduced program overheads, so about 16hrs 50min.

robert44444uk 2017-06-22 14:35

1 Attachment(s)
Twas just for a moment. Now the observer has influenced the experiment.

rudy235 2017-06-22 18:53

[B]Some statistics of the 1000 e15 ranges –Only groups of 100 Ranges with ≥ 5% completeness are reported– 565 ranges completed.[/B]

Exhaustive search [SIZE="4"][B]4000 -4275[/B][/SIZE]



[B]Range 4000 -4100 [/B]
Completeness 100%.
Highest gap achieved 1306 Robert4444UK. Not >1344

[B]Range 4100 -4200[/B]
Completeness 100%
Highest gaps achieved a) 1368 Thomas11 Previously found by LLh in 2011
b) 1380 Thomas11 Previously found by Hertzog and Oliveira Silva in 2007

[B]Range 4200 -4300[/B]
Completeness 75%
Highest gaps achieved a) 1362 Antonio Previously found by Oliveira Silva in 2011
b) 1372 Antonio Previously found by LLh in 2014
c) 1440 Antonio Previously found by LLh in 2014

[B]Range 4300 -4400[/B]
Completeness 100%
Highest gap achieved 1386 dañaj Previously found by Pardi and Oliveira Silva in 2012

[B]Range 4400 -4500[/B]
Completeness 68%
Highest gaps achieved a) 1298 pinhodecarlos Not > 1344

[B]Range 4500 -4600[/B]
–To be populated–

[B]Range 4600 -4700[/B]
Completeness 26%
Highest gap achieved 1430 Robert444UK Previously found by LLh in 2017 (just 2 weeks ago! See [URL="http://mersenneforum.org/showpost.php?p=460534&postcount=174"]here[/URL])

[B]Range 4700 -4800[/B]
Completeness 85%
Highest gap achieved 1374 by danaj previously found in 2011 by Pardi and Oliveira Silva

[B]Range 4800 -4900[/B]
–To be populated–

[B]Range 4900 -4999[/B]
Completeness 10%
Highest gaps achieved a) 1260 pinhodecarlos Not > 1344

Up to this point (with 56.5% or the ranges finished) 8 Gaps ≥ 1346 have been found and [U]all of them have been previously reported. [/U] 4 as C?C and 4 as CFC.

However, only 2 more C?C gaps already found ([B]1346[/B] & [B]1352[/B] ) are remaining in the ranges 4646-4647 and 4459-4460.
Once we complete the ranges 4700- 4800 -4900 -4999 there is a chance -i.e. educated guess– of finding [B]up to 4 new gaps,[/B] either CFC [B]gaps[/B] previously found, or C?C not yet discovered in this range.

rudy235 2017-06-22 20:16

1 Attachment(s)
[ATTACH]16306[/ATTACH]

Our fearless UK computer mavens working in the unbearable heat for the sake of the project!

Thanks.

danaj 2017-06-23 04:53

Reserving 4850-4899. Complete results below.

[code]
4850e15 23 gaps >= 1050 max: 1192 4850101722401543731
4851e15 32 gaps >= 1050 max: 1168 4851192963581991721
4852e15 40 gaps >= 1050 max: 1164 4852292534466052297
4853e15 23 gaps >= 1050 max: 1166 4853153115800278193
4854e15 31 gaps >= 1050 max: 1160 4854316795137977093
4855e15 32 gaps >= 1050 max: 1320 4855182426726616249
4856e15 37 gaps >= 1050 max: 1222 4856499960471503941
4857e15 41 gaps >= 1050 max: 1260 4857255881931088529
4858e15 26 gaps >= 1050 max: 1202 4858029827347214939
4859e15 34 gaps >= 1050 max: 1164 4859087424883839617
4860e15 40 gaps >= 1050 max: 1152 4860613998330180781
4861e15 39 gaps >= 1050 max: 1164 4861456514029671989
4862e15 39 gaps >= 1050 max: 1304 4862477914369718969
4863e15 41 gaps >= 1050 max: 1194 4863027725303313547
4864e15 29 gaps >= 1050 max: 1296 4864763700659932217
4865e15 35 gaps >= 1050 max: 1190 4865075981540818451
4866e15 40 gaps >= 1050 max: 1230 4866558431559292931
4867e15 40 gaps >= 1050 max: 1278 4867013662720794383
4868e15 32 gaps >= 1050 max: 1150 4868958128619319759
4869e15 30 gaps >= 1050 max: 1212 4869079576066558379
4870e15 33 gaps >= 1050 max: 1226 4870067326343210027
4871e15 27 gaps >= 1050 max: 1226 4871839425042393983
4872e15 44 gaps >= 1050 max: 1212 4872460841656287629
4873e15 47 gaps >= 1050 max: 1184 4873323519978172829 / 4873438674837230093
4874e15 35 gaps >= 1050 max: 1242 4874576701288789031
4875e15 30 gaps >= 1050 max: 1188 4875986212121842271
4876e15 35 gaps >= 1050 max: 1226 4876606537418578901
4877e15 32 gaps >= 1050 max: 1206 4877417780558534843
4878e15 35 gaps >= 1050 max: 1228 4878157572450795313
4879e15 32 gaps >= 1050 max: 1230 4879762269297174421
4880e15 30 gaps >= 1050 max: 1196 4880405326876365053 / 4880814090392132393
4881e15 34 gaps >= 1050 max: 1256 4881552444438862481
4882e15 31 gaps >= 1050 max: 1176 4882078302217841401
4883e15 35 gaps >= 1050 max: 1454 4883011923347099963
4884e15 29 gaps >= 1050 max: 1158 4884667655956278571
4885e15 32 gaps >= 1050 max: 1190 4885344698283109943
4886e15 34 gaps >= 1050 max: 1182 4886438914160737229
4887e15 37 gaps >= 1050 max: 1206 4887995481744553531
4888e15 41 gaps >= 1050 max: 1230 4888701094099702909
4889e15 29 gaps >= 1050 max: 1158 4889552033413808699
4890e15 34 gaps >= 1050 max: 1170 4890240734310168163
4891e15 31 gaps >= 1050 max: 1212 4891077536295998461
4892e15 33 gaps >= 1050 max: 1264 4892431925726873323
4893e15 46 gaps >= 1050 max: 1256 4893155411737308257
4894e15 44 gaps >= 1050 max: 1292 4894321237481277929
4895e15 38 gaps >= 1050 max: 1170 4895801642196312163
4896e15 37 gaps >= 1050 max: 1234 4896686470547564743
4897e15 34 gaps >= 1050 max: 1180 4897676855699865109
4898e15 49 gaps >= 1050 max: 1248 4898469089480933821
4899e15 30 gaps >= 1050 max: 1204 4899171435007614553
[/code]

Previous:

[URL="http://www.mersenneforum.org/showpost.php?p=460275&postcount=163"]4300-4399[/URL] (complete)
[URL="http://www.mersenneforum.org/showpost.php?p=461106&postcount=229"]4700-4799[/URL] (complete)
[URL="http://www.mersenneforum.org/showpost.php?p=461691&postcount=301"]4520-4539[/URL] (complete)

robert44444uk 2017-06-23 07:21

Here are the latest completion and reserved stats:

[CODE]

Searcher done resd

danaj 195 76
Thomas11 159 61
antonio 86 25
robert44444uk 82 16
pinhodecarlos 34 31
mart_r 13 10
ET_ 7 0
henryzz 1 9
ldesnogu 0 5

Total 577 233


[/CODE]

I shall be updating posts #1 and #3 up to Sunday evening, but I will be travelling for 1 week and hence if you wish to reserve further ranges, maybe it will be better to reserve them before this coming Sunday.

Thomas11 2017-06-23 07:25

1 Attachment(s)
4452-4460e15 and 4467-4470e15 completed:
[CODE]
4452-4453e15 100 kgaps, largest 1134 @ 4452107856330381613
4453-4454e15 89 kgaps, largest 1258 @ 4453532635053414433
4454-4455e15 92 kgaps, largest 1226 @ 4454995798455047501
4455-4456e15 113 kgaps, largest 1260 @ 4455993109599266813
4456-4457e15 91 kgaps, largest 1190 @ 4456951197670068407
4457-4458e15 83 kgaps, largest 1362 @ 4457902027708963871 (*)
4458-4459e15 89 kgaps, largest 1136 @ 4458434009126891411
4459-4460e15 98 kgaps, largest 1352 @ 4459397360427487997 (*)

4467-4468e15 114 kgaps, largest 1148 @ 4467080161152742421
4468-4469e15 89 kgaps, largest 1176 @ 4468611385132361993
4469-4470e15 110 kgaps, largest 1180 @ 4469814401796862717
[/CODE]
The 1352 gap is the expected one, previously found by Leif Leonhardy.
The 1362 gap is a new one but, unfortunately, not a first occurrence...

Thomas11 2017-06-23 07:30

[QUOTE=robert44444uk;461830]... maybe it will be better to reserve them before this coming Sunday.[/QUOTE]

Then I'd like to reserve 4575-4600e15 too.

Antonio 2017-06-23 08:30

4275 - 4280e15 complete[CODE]4275-4276e15 104 kgaps, largest 1210 @ 4275855383697861949
4276-4277e15 92 kgaps, largest 1232 @ 4276939698682077719
4277-4278e15 106 kgaps, largest 1264 @ 4277010291958424143
4278-4279e15 101 kgaps, largest 1142 @ 4278811203611198549
4279-4280e15 97 kgaps, largest 1288 @ 4279980485715230899
[/CODE]

ldesnogu 2017-06-23 11:25

[QUOTE=robert44444uk;461830]I shall be updating posts #1 and #3 up to Sunday evening, but I will be travelling for 1 week and hence if you wish to reserve further ranges, maybe it will be better to reserve them before this coming Sunday.[/QUOTE]
So I pick 4545-4560.


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