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Old 2019-06-05, 09:41   #100
robert44444uk
 
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Here are the results for 2e15 to 2.22e15. We have two gaps in excess of 5000 including 1 which is the new maximal and which is the second gap found with merit >30. 3849 is now the smallest gap not yet found. These are the 43 new first instance gaps. Attached is a file of gaps found >= 3500.

Code:
3676	2032554433644717	R Smith	21.226051
3779	2063415047832358	R Smith	21.803052
3809	2075503685369503	R Smith	21.969211
3847	2146254663929243	R Smith	22.148300
3879	2133128216687003	R Smith	22.339922
3906	2142637690404992	R Smith	22.490026
3926	2139118079166897	R Smith	22.607186
3929	2016125870777798	R Smith	22.696875
3939	2165686535585258	R Smith	22.666955
3989	2087849060475083	R Smith	23.000037
4006	2180326930073672	R Smith	23.044136
4013	2031516020102410	R Smith	23.172604
4016	2179356879773112	R Smith	23.102214
4032	2002559880040923	R Smith	23.300376
4040	2112366472061332	R Smith	23.279430
4052	2179590503822848	R Smith	23.309171
4092	2094219367743100	R Smith	23.590043
4124	2086726474629423	R Smith	23.779119
4127	2212007844838538	R Smith	23.721731
4136	2143481899839732	R Smith	23.813817
4140	2011581557039772	R Smith	23.918685
4142	2007399017744510	R Smith	23.932930
4149	2163886316546343	R Smith	23.876469
4155	2129737745090592	R Smith	23.931513
4165	2085188139062313	R Smith	24.016482
4167	2053758011482798	R Smith	24.047718
4183	2205964845393655	R Smith	24.047159
4191	2213849582314167	R Smith	24.088519
4194	2019731441889738	R Smith	24.225377
4228	2032072793152692	R Smith	24.413735
4251	2019335197431592	R Smith	24.554881
4285	2008242048934257	R Smith	24.758638
4287	2063302551216825	R Smith	24.734046
4314	2164611163355343	R Smith	24.825555
4317	2054415230757785	R Smith	24.912936
4354	2102587367693053	R Smith	25.095052
4363	2065187518199732	R Smith	25.171291
4370	2077108545136215	R Smith	25.203845
4435	2155544057220813	R Smith	25.527643
4575	2093060555655755	R Smith	26.375286
4778	2154260707919477	R Smith	27.502817
5019	2158074959902038	R Smith	28.887291
5217	2152371146552753	R Smith	30.031182
Attached Files
File Type: txt gaps gt 3500 in the range 2e15 to 2.22e15.txt (29.0 KB, 17 views)

Last fiddled with by robert44444uk on 2019-06-05 at 09:49
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Old 2019-06-05, 09:46   #101
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Here is a file with all first instance gaps found to date, indicating their finder, their merit, and marking maximal gaps (M) and gaps with highest merit to date (H).
Attached Files
File Type: txt merits 050619.txt (175.6 KB, 23 views)
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Old 2019-06-10, 21:20   #102
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Quote:
Originally Posted by Thomas11 View Post
I will continue from 2.5e15.
And I will take 3.5e15 to 4e15
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Old 2019-06-11, 08:38   #103
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Here are the results for 2.22e15 to 2.44e15. 43 new first instance gaps and 1 in excess of 5000.

Code:
3849	2266903514297923
3902	2286066324394743
3904	2391528479271188
3916	2336974332397152
3977	2315727953531443
4000	2323660383220423
4005	2421574885620300
4007	2337164230110570
4021	2298355263312222
4024	2252868402525018
4028	2329538401425725
4039	2228185667339483
4042	2312417758514955
4049	2315460469148493
4059	2243770066220393
4081	2274552763375942
4097	2350449212979005
4135	2267272893345702
4148	2427735634823350
4156	2302780581715012
4177	2236167029860405
4188	2389967193674405
4190	2357095445428498
4204	2424992956667883
4217	2334647367738968
4223	2270680175196312
4227	2432012164479525
4247	2233441963319935
4248	2423501144558315
4255	2315301840729868
4274	2263037664192123
4279	2232675314241078
4283	2234553323793095
4286	2286409145582147
4294	2311950894311123
4381	2272898608601772
4395	2401423171651017
4412	2430701418580130
4417	2323646238430633
4458	2314292768659392
4475	2246234402324250
4529	2286467029063238
5041	2280523236533567
Attached are files of gaps >3500 in the range (with slight overlap duplication) and the revised first instance gaps list
Attached Files
File Type: txt 2.22to2.44res.txt (33.1 KB, 18 views)
File Type: txt first instance list 110619.txt (177.2 KB, 19 views)
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Old 2019-06-11, 18:34   #104
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And here are the results for 2.5e15 to 3.0e15.
70 new first instance gaps and 2 in excess of 5000.

Code:
3919	2665065580231183
3921	2607710357882787
3934	2669742648704163
3944	2602252703492078
3954	2529586543266023
3963	2979033035265422
4046	2518217254331762
4053	2735004141458260
4055	2653495974253105
4057	2628749947745995
4064	2667250119369038
4067	2909034122362893
4086	2506226993439967
4091	2857335583237807
4094	2608538774116943
4103	2858229669171662
4106	2500171522512907
4122	2732149468284148
4126	2786318882697112
4131	2869786605447757
4132	2782085449272603
4139	2796575638202353
4159	2698919647305688
4169	2861315014735518
4170	2592050838707103
4171	2951025805941027
4175	2981722798736598
4179	2915330364811898
4180	2765565702888585
4184	2725187458935198
4195	2561686337855480
4196	2814524418021572
4198	2625333680134590
4199	2634614818086753
4201	2571648357111802
4208	2518711392020597
4214	2762833190471853
4218	2918645627563167
4236	2808691827157282
4242	2756647283046865
4257	2728627535842098
4270	2736713952655128
4275	2656844574590092
4280	2754967975101115
4293	2535551162299445
4298	2917407064059502
4303	2567557517613862
4313	2537353518227510
4319	2775355730553693
4324	2854941817523558
4342	2510490148171220
4343	2699947015702360
4348	2845672470399147
4365	2541545391919553
4369	2633599175431438
4387	2646960974088393
4440	2759323226340418
4505	2931096580871933
4515	2663473659050892
4535	2756432131155048
4560	2753316001686800
4563	2910473507798552
4590	2744540454807862
4779	2696707543617638
4785	2855574454692725
4830	2948657613873498
4858	2607675268460215
4879	2648559471810803
5033	2522078466787325
5247	2692593257220793
The attached file contains all gaps >3500 in the range.

Lowest unknown gap is 3924.
Attached Files
File Type: txt twingaps_2500-3000e12_gt3500.txt (80.5 KB, 17 views)
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Old 2019-06-12, 06:41   #105
robert44444uk
 
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Quote:
Originally Posted by Thomas11 View Post
And here are the results for 2.5e15 to 3.0e15.
70 new first instance gaps

…..

Lowest unknown gap is 3924.
Some of this might change with the range 2.44e15 to 2.5e15. This range is half cooked as of this morning.
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Old 2019-06-17, 07:15   #106
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Here are the results (gaps >= 3500) for 2.44 to 2.50e15. There were only 4 first instance gaps.

Code:
4082	2453059495003835
4195	2450990486934257
4203	2495384584843220
4323	2445334634587575
Attached Files
File Type: txt 2.44e15to2.50e15res.txt (8.3 KB, 17 views)
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Old 2019-06-17, 07:50   #107
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And here is the new record table, complete to 3e15. Only one of my gaps in the 2.44 to 2.50e15 range was listed by Thomas11 as a first instance. Thomas11's gap of 5247 is now confirmed as a maximal gap, but not a maximal merit, which is still owned by Tomas e Silva's gap of 4807.

3924 is confirmed as the lowest gap not yet discovered.

I think firejuggler and I may be the only people who have reserved work. Thomas11 - are you doing 3.0 to 3.5e15?

I am currently 70% through the range 3.50to3.65e15 and have reserved 3.65 to 4.0e15. We need more workers!
Attached Files
File Type: txt first instance list 170619.txt (188.1 KB, 22 views)

Last fiddled with by robert44444uk on 2019-06-17 at 07:56
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Old 2019-06-18, 12:14   #108
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Quote:
Originally Posted by robert44444uk View Post
And here is the new record table, complete to 3e15.
There were several rounding errors in the table, so here it is again. This time I have put in an extra column representing the number of single primes between the twin prime gaps. There is some natural correlation between the numbers of single primes and the size of gap, due to the normal distribution of primes, but the records breakers, in terms of numbers of single primes, are not necessarily those you see in the table.

I have completed the range 3.5e15 to 3.65e15, gaps over 3500 are attached. There was one further 5000 gap.
Attached Files
File Type: txt 3.5e15to3.65e15.txt (34.5 KB, 17 views)
File Type: txt first instance list 180619.txt (210.6 KB, 21 views)

Last fiddled with by robert44444uk on 2019-06-19 at 08:30
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Old 2019-06-19, 13:13   #109
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Ok i finally done my range... it was slow but.. it is done.


Code:
3901    9038250061073502
......
3923    9041017763396077
3924    9044562146118128
....
4433    9045100271682487
4443    9009758172001925
4472    9024988520045250
4474    9042849540190363
4508    9015763930171115
4702    9041453825727873
4905    9000382149988845
5110    9021884155523183
continuing to 9.1e15
Attached Files
File Type: txt gaplist 9e15-9.05e15 .txt (2.4 KB, 16 views)
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Old 2019-06-19, 14:58   #110
Thomas11
 
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Here are the results for 3.0e15 to 3.5e15.
63 new first instance gaps but surprisingly no 5000 gap.

Code:
3924	3226495075272073
3959	3226565924675093
3986	3126855033987092
3991	3324584193835277
4012	3141567911212363
4041	3318038460234792
4056	3348332890882977
4063	3306911096594595
4098	3051343081654275
4105	3206578962862048
4113	3310632510139167
4133	3183708154543527
4143	3299809505747242
4145	3471862168042258
4146	3018429360847612
4150	3175210644308707
4174	3264877384067243
4176	3030530310074062
4181	3157442110490232
4187	3271343468549923
4193	3187326165142497
4197	3261327145230070
4224	3420266782597088
4238	3088136658899702
4252	3312275805304813
4254	3212860526735428
4256	3074568302675497
4263	3361362487084597
4265	3185991952850282
4273	3229777954990157
4278	3257368413549477
4284	3335839919443603
4288	3322653898312882
4292	3482652155666183
4305	3393024144397207
4306	3105788887247547
4315	3000846107341833
4318	3293185591775525
4322	3062857373210355
4328	3493746976331607
4331	3343277691327107
4360	3420590815591352
4366	3327291985206887
4375	3165925768179688
4376	3161632515419192
4391	3190508452261322
4394	3305805117054043
4410	3362048200414530
4425	3159879828720190
4433	3093772262794400
4443	3396416099507480
4488	3479757688141592
4507	3246553380258760
4525	3245663763844168
4526	3438041884748397
4543	3139188945198985
4574	3281522157930958
4587	3375462007200383
4715	3372381267952067
4720	3381294107183597
4723	3134739767164602
4745	3152403735496678
4792	3365650064998688
The attached file contains all gaps >3500 in the range.

Lowest unknown gap is 3994.

I will continue from 4.0e15.
Attached Files
File Type: txt twingaps_3000-3500e12_gt3500.txt (100.4 KB, 17 views)
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