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Old 2019-07-03, 08:10   #122
Thomas11
 
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Feb 2003

77116 Posts
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Here are the results for 4.0e15 to 4.5e15.
Currently 71 new first instance gaps. But this number will drop when Robert finishes his range.
And again no 5000 gap.

Code:
4001	4179293548065877
4036	4106927419588192
4044	4185823994235268
4058	4290072909867525
4061	4472943734872267
4079	4300536010729383
4084	4406912892929383
4123	4154230591393277
4144	4182209795888618
4151	4098739446264607
4162	4011492646459345
4173	4008543073592067
4226	4406823329103172
4230	4042492203569080
4234	4152186523109343
4237	4280704730284073
4244	4039462415567778
4245	4422695906220937
4246	4054384936475697
4258	4309266053238762
4295	4301563150915310
4301	4141024342476042
4304	4108934447945603
4309	4173085117990708
4321	4445814112245247
4327	4242102585633875
4333	4215822060026295
4335	4497695198490042
4351	4316150805048297
4357	4006395341536280
4372	4391425987437485
4385	4039934666360957
4386	4182104632390207
4393	4000099150979330
4405	4487974047602915
4406	4147657950294002
4415	4213776148264440
4419	4275938192236963
4422	4376828046670618
4448	4091673740793282
4451	4325829889027797
4469	4360821753959808
4470	4167008480489295
4483	4463521600708440
4499	4469797089677113
4503	4277229649150167
4504	4323076289956358
4512	4319094546752123
4522	4070482871328738
4523	4162329666403815
4528	4472647294069335
4531	4256105634193782
4534	4455596057221698
4545	4314486900060710
4550	4056155595679078
4592	4004920875134900
4597	4479173240927840
4600	4012552459493252
4602	4255600412125930
4613	4427925040326030
4634	4389826340730773
4640	4250088018597768
4661	4014837298283137
4678	4276870878608960
4713	4301791730689855
4725	4122226621135565
4755	4463585544663187
4772	4164056312348758
4780	4481807967435937
4850	4402156261861432
4863	4274149054611067
The attached file contains all gaps >3500 in the range.

Lowest unknown gap is still 3994.

I will continue from 5.0e15 to 5.5e15.
Attached Files
File Type: txt twingaps_4000-4500e12_gt3500.txt (130.1 KB, 21 views)
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Old 2019-07-06, 11:54   #123
firejuggler
 
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Apr 2010
Over the rainbow

45518 Posts
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9.05->9.1e15 done, nothing special.
As I recently acquired more ressource, going to 9.2e15
Attached Files
File Type: txt 9.05e15-9.1e15.txt (3.2 KB, 20 views)
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Old 2019-07-13, 19:52   #124
firejuggler
 
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Apr 2010
Over the rainbow

3·11·73 Posts
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if 3994 is the lowest gap then

Code:
3994 9114566514556608
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Old 2019-07-16, 09:14   #125
robert44444uk
 
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Jun 2003
Oxford, UK

3·54 Posts
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3994 is still the smallest gap not yet found! The range from 3.65 to 4.0e15 is now complete - no 5000+ gaps, and I have posted the first instance gaps plus Thomas's from 4 to 4.5e15 so we are up to date on that list. Thomas11 has 269 first instance gaps and I have 125.

I will take 5.5 to 6e15 next.

reservations are:

mart_r 4.5-5.0
Thomas11 5.0-5.5
robert44444uk 5.5-6.0
….
firejuggler 9.0-9.5
Attached Files
File Type: txt first instance list 160719.txt (217.3 KB, 31 views)
File Type: txt 3.65to4.00res.txt (72.2 KB, 24 views)
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Old 2019-07-31, 07:53   #126
robert44444uk
 
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Jun 2003
Oxford, UK

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I thought I would adapt the code to look at larger than 2^64 gaps. I ran 1e25 overnight and the largest I found was 7006 (100000000000069592292082)

It is interesting to see at much higher levels how they increase - very short runs at a variety of powers of 10:

1e300 - 518546 (1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000049265322)
1e200 - 265470 (100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000247288525)
1e150 - 155075 (1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110098435)
1e101 - 89503 (100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001278351680)
1e100 - 84344 (10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000125163253)
1e70 - 43812 (10000000000000000000000000000000000000000000000000000000000000551931995)
1e60 - 27148 (1000000000000000000000000000000000000000000000000000072497707)
1e30 - 7533 (1000000000000000000000053553747)

Last fiddled with by robert44444uk on 2019-07-31 at 10:11
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Old 2019-08-12, 12:51   #127
robert44444uk
 
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Jun 2003
Oxford, UK

35238 Posts
Default

Here are all the gaps of 3994 or greater in the range 5.5 to 6.0e15. We won't know if the 3994 is first instance until others have posted results.

Code:
3994	5959135266394588
3995	5559842822915402
3995	5758668423867583
3995	5954241802112543
3995	5812144653021317
3996	5537464029830932
3997	5526041157471648
3997	5943940092632680
3999	5603492277725468
4000	5650113195489060
4000	5709561200982977
4000	5982317446564440
4000	5999906721620518
4000	5830762975562980
4000	5845779815312563
4002	5523875711732665
4002	5620725794879473
4002	5999299689818145
4002	5803979065861958
4002	5849918625418830
4003	5946924833407932
4004	5634742131151688
4004	5797242834473148
4004	5798398424887173
4004	5995615634950653
4005	5717184413322407
4006	5665091891499087
4007	5724517509020018
4008	5526957393921015
4008	5773404968880377
4008	5853626727981982
4010	5757966580236848
4011	5801458588797387
4012	5991080023045205
4012	5996448140529963
4013	5634910702657882
4013	5668472165216702
4013	5698591789913120
4013	5797665498746775
4013	5824405815941795
4013	5882964059473385
4014	5908912848885783
4015	5555494617672403
4015	5652395065298572
4015	5679738733887585
4015	5905182997357812
4016	5706442109627247
4017	5563349107062170
4017	5610209407976205
4017	5761868993775500
4018	5715041370748055
4018	5958914681242282
4018	5821413230033882
4018	5857176870908177
4018	5888922322332877
4019	5715632681076313
4020	5803864360098108
4020	5833679872237422
4020	5861869763087968
4020	5871063086850033
4021	5675459648996132
4022	5695677139627310
4022	5864035327494755
4023	5941887510629957
4023	5842021341332125
4025	5715680977913735
4025	5977695149751703
4025	5831906437479920
4027	5640274195409793
4027	5665228431829538
4027	5972912810062413
4027	5812148201013080
4028	5576614886977612
4028	5672332884922872
4028	5791686918223082
4029	5527547527725503
4029	5696506802015543
4029	5789734835625438
4030	5520303575613703
4030	5540516899888292
4030	5547527839837352
4030	5919453785274327
4030	5950310481912442
4030	5887162840793330
4030	5897913244600832
4032	5709375161472038
4032	5754651115828543
4033	5869259995422630
4033	5871864281372687
4034	5967517296283648
4035	5865614284344922
4035	5867437791963127
4037	5546321212072620
4037	5592825134967658
4037	5607295319193365
4037	5659831357612688
4037	5899409457587958
4039	5598609357856618
4040	5771587175491988
4040	5921601206396872
4040	5887748290820652
4042	5654572403963268
4042	5918007270651763
4042	5947151914573788
4043	5566401422110275
4043	5737014180333497
4044	5793502156221878
4044	5870319044139813
4044	5872691341182458
4045	5669312742427617
4046	5563111811523637
4046	5688922815277397
4047	5641022771185435
4047	5704794957311390
4047	5744662502134938
4048	5684975712870020
4048	5698876438644440
4048	5815317327272287
4049	5780488139147138
4050	5529792268223020
4050	5719717350501668
4050	5778296890193840
4050	5859342971412462
4051	5615489489429572
4051	5634531177927622
4051	5839696965616682
4052	5655770318619425
4052	5708650198967595
4052	5853662071502235
4053	5574736962260902
4053	5601376935255855
4053	5620074794636032
4053	5725514732954730
4053	5920449885879655
4053	5973336596026937
4053	5880125111075462
4053	5895211397727360
4054	5762135855537513
4054	5937024983729703
4055	5598314425273918
4055	5845758215548013
4057	5775804311858360
4057	5909854504887835
4057	5940616328493833
4058	5528178156203542
4058	5639121175617365
4058	5847946430129860
4059	5582488260343153
4059	5874002132614963
4060	5782811521689150
4060	5988396779954815
4062	5552401474371580
4063	5922051788741825
4063	5844162985885422
4064	5768148995300753
4064	5782209650483383
4065	5553383637133245
4065	5829344797956663
4066	5578709703646852
4067	5649769492384083
4067	5953142077063253
4067	5883691129054725
4068	5597589562280607
4068	5761601078034512
4068	5793508177672302
4068	5955130202279120
4068	5893293486808892
4069	5683248088936873
4069	5713319288744588
4069	5927258795474303
4071	5703012916932562
4072	5946631210062340
4072	5810004815621120
4074	5801328735756613
4075	5918444223233350
4075	5882940716466040
4076	5645028040163622
4076	5799097198277787
4076	5839121440088652
4077	5625956137585858
4078	5501381234710030
4078	5544331057269070
4080	5901149653863090
4080	5934806866817503
4080	5978302386228652
4081	5567085829442792
4081	5623159963936412
4081	5792425043661652
4083	5519806288307020
4083	5594773896692157
4083	5998869796352900
4085	5539654248665017
4085	5978447247707802
4085	5811423118438633
4085	5855167905594612
4088	5998793903918622
4089	5789079895169883
4090	5535746487385898
4090	5614858295876420
4090	5842249466799767
4092	5776678811998995
4092	5850964740849485
4093	5552576754180022
4093	5768950880593842
4093	5887333522904852
4095	5735470957600487
4095	5907603404726798
4095	5912276246279085
4095	5945581127969138
4096	5530096737122442
4096	5542678620887167
4096	5613838514993292
4096	5657316172136057
4097	5773402166440765
4098	5786122015093590
4099	5769274561101488
4099	5838066044478048
4100	5667510829669113
4100	5677503586016808
4100	5691656362179193
4102	5908324160632943
4102	5804584545569430
4102	5862824238674928
4105	5805194250016193
4105	5842246827538485
4107	5540850649487813
4107	5792859786155670
4108	5844168129794930
4110	5549853847710413
4110	5745470850325320
4110	5762379884445370
4110	5961865020572128
4111	5965514801720792
4112	5707534941260268
4112	5981100856149050
4115	5504856027999255
4115	5613653849486177
4115	5658622272869038
4115	5763286241052483
4115	5982832763771022
4117	5948750786100125
4118	5707212462308955
4119	5518447868461978
4120	5675108002149418
4120	5715162925641092
4121	5532208468310507
4122	5964193480102135
4125	5945286767981960
4126	5632212897929657
4127	5961134666981588
4128	5843403375590312
4129	5521114621466258
4129	5866741380049623
4130	5595461399259693
4130	5656231016076732
4130	5978443037801035
4130	5983674293551283
4131	5697697815893947
4132	5740610719019535
4132	5982461938554568
4133	5549505181317820
4133	5601944527223205
4133	5711196188439492
4134	5604382114437673
4135	5624351630763962
4135	5792326445375213
4135	5843662122402108
4136	5573014520529397
4136	5828641355139012
4137	5530173301305725
4137	5606557631652520
4137	5773595215783983
4137	5960755364499070
4137	5803081666550773
4138	5647634190214802
4139	5821325651166758
4140	5606392810807520
4142	5648038773381120
4142	5932493344717048
4145	5901663484239988
4147	5568948763062178
4152	5952594986368363
4153	5577669769135100
4156	5768184947959672
4157	5645882296260300
4157	5929926493045658
4158	5787263577427342
4159	5624077862886753
4159	5985474501416028
4160	5564948784036547
4160	5796302186735987
4160	5921313165946580
4160	5841997750185847
4160	5882409057272765
4162	5774223515012785
4163	5757927700500917
4164	5988563431753508
4167	5973706222721870
4168	5573660892432707
4168	5832838804653345
4170	5727348313818702
4171	5682572912754447
4171	5860670530219447
4172	5942267273602993
4173	5785906220116312
4178	5738503229427125
4180	5534848665012068
4180	5578162926507978
4180	5645552386830947
4180	5972202907030712
4181	5847548254813732
4183	5981220975067345
4185	5921253906810302
4188	5735029890184702
4190	5549708007884612
4190	5562581719356338
4190	5801735518833618
4192	5592839035373175
4193	5569733177266125
4195	5676627552795332
4195	5960044969524942
4195	5851814555239637
4196	5897263541810377
4200	5671151863159097
4200	5687526754655765
4200	5759798487823907
4200	5763925812589053
4200	5909654225651403
4202	5606150709657125
4202	5809854369560610
4202	5858628187360030
4209	5793021648615883
4210	5500280166120457
4210	5738180682805340
4210	5812263218604952
4212	5517383894264748
4212	5721950541689925
4212	5979972276368568
4218	5711077851715577
4218	5881695016809932
4220	5541244907101552
4220	5996768849072907
4221	5996521527222417
4222	5745011409450365
4222	5932726119338015
4226	5505732578709302
4226	5844883958342692
4227	5698841390855365
4229	5639453663506378
4229	5690076768632483
4230	5511616675602263
4230	5873114964993397
4231	5997054525601017
4233	5680706039743740
4235	5777287652649642
4235	5792042289273503
4237	5620542716900788
4238	5819694637372485
4240	5938910465248128
4240	5996438620029837
4240	5820002279965468
4242	5680088774977235
4243	5968843576192765
4244	5674184975922843
4247	5574431105530600
4250	5775864525948527
4253	5811051040570450
4254	5718065299150773
4256	5715551835489622
4262	5701335310988628
4265	5771771510006703
4265	5888037348256212
4273	5867691692157932
4275	5796921623796438
4276	5601555819712207
4277	5647006982628953
4277	5793436101667343
4277	5820391533228513
4278	5818423525605785
4279	5565577804435813
4279	5796783050273203
4281	5511199509303437
4283	5640934545133122
4283	5907926488194357
4288	5953090335149580
4290	5645288377475850
4290	5956249880927155
4290	5811142413568033
4290	5836143809985423
4291	5552937007139027
4292	5837484853504628
4294	5952875630381673
4295	5866975373186053
4296	5711997068943562
4296	5901823412355052
4296	5880357999877167
4298	5510687821056047
4298	5615105409367605
4299	5782409265282358
4304	5529206376343688
4305	5979428445895993
4307	5636681238158733
4307	5744524869650033
4312	5814232462230325
4318	5762903591306670
4320	5675899625554967
4322	5911372025226350
4323	5686791848315702
4324	5903255146612028
4326	5928312165812832
4332	5605163085901510
4334	5512890147254248
4334	5900589343390528
4334	5829984291747403
4335	5848519067091605
4340	5943223861775905
4340	5980796851741848
4342	5715371475130298
4345	5600997049174952
4352	5932521271648913
4355	5532346029221413
4360	5565161457654572
4361	5816214489980912
4367	5839175852924943
4368	5694054341901607
4371	5789984741722902
4372	5794143783444033
4373	5914823919442057
4378	5616032222603877
4380	5767130160965892
4381	5604131537828002
4387	5537007690497425
4393	5751042989770342
4394	5659431390907333
4407	5599457539879430
4407	5963081200288553
4410	5510698791090225
4412	5778622508282480
4414	5592763109573178
4415	5557843372637773
4417	5612907642014040
4425	5500106109272602
4429	5581555127630078
4431	5626465535045442
4431	5923487563100607
4437	5665946717615245
4438	5522506348839340
4438	5939285341570455
4440	5500878881798492
4444	5524720208600988
4450	5983463545181738
4457	5609405661820555
4467	5512719615562533
4480	5774815457685915
4483	5902801888152122
4485	5583790554234933
4503	5994355996589180
4504	5734688605965578
4522	5800067132817613
4547	5592102489185625
4550	5678700309953312
4561	5748459933927172
4575	5751347456658753
4586	5905739748730922
4600	5767974031271442
4605	5545307024610643
4621	5518749129294257
4636	5661617818242717
4637	5802390238347390
4647	5992265797927553
4652	5645853597796725
4670	5660535307895555
4706	5526962665758137
4720	5916889788228188
4792	5801691941723683
4828	5693134711467835
4853	5946979011930287
4973	5934849936944345
5100	5957684088718383

Last fiddled with by robert44444uk on 2019-08-12 at 12:52
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Old 2019-08-13, 12:02   #128
Thomas11
 
Thomas11's Avatar
 
Feb 2003

3×5×127 Posts
Default

And here are the gaps of 3994 or greater in the range 5.0 to 5.5e15. The 3994 actually occurred twice, but mart_r could still beat this with a first instance in his range.

Code:
3994 5010234490305093
3994 5303038287088223
3995 5072431135717412
3995 5255041644121143
3995 5411023627279062
3995 5454573146513215
3995 5487702707738785
3997 5012007081252383
3997 5132495409746115
3997 5376892903764685
3998 5405047917720210
3999 5339285377365303
3999 5428921684724218
3999 5456202730488393
4000 5000601696717375
4000 5010647262581048
4000 5204444534768658
4000 5324137462658613
4000 5474158278690243
4002 5187226384336285
4002 5413745953828858
4003 5009904722855527
4003 5488023561970100
4004 5084291516937108
4004 5172857278409443
4004 5471694795154413
4005 5079662260355357
4005 5222982058657402
4005 5245818297672857
4006 5355360140785667
4007 5058288993662440
4007 5258068809799208
4007 5297303004542308
4008 5473343706130312
4009 5178706559587318
4009 5487433842257588
4009 5492706727304468
4010 5143518505740115
4010 5467762424908635
4011 5138427730456402
4011 5498478611328832
4012 5057289142706958
4012 5167904177422445
4013 5205964580603465
4015 5056380921659595
4015 5115827395949483
4015 5459464691474790
4015 5496642891969547
4016 5255297124609032
4016 5358779510688907
4017 5158883412681758
4017 5180836044829323
4018 5083597118629150
4018 5144587559901772
4018 5164849194884295
4018 5325504502212430
4020 5116561641820877
4020 5298921127709193
4021 5174493042509242
4021 5183293689294102
4022 5250878156380468
4022 5454449682444495
4023 5076485723428415
4023 5103387486724872
4023 5397237869996947
4023 5441452307610410
4024 5248211258357063
4025 5039957334728008
4025 5110975599573672
4025 5442918105962733
4026 5179015651128302
4027 5095522213118230
4027 5285828240544033
4028 5362969275633375
4028 5389485761747187
4030 5122765595560902
4030 5315601994424965
4031 5374387288217652
4031 5410137621630577
4032 5262859656227183
4032 5314744298536183
4033 5155708199674202
4033 5202527587254405
4033 5434763185263057
4035 5002834109651868
4035 5101763725847775
4035 5161345806335922
4035 5169733909409328
4035 5388859723609847
4036 5469184156889922
4037 5211577982934608
4038 5229212076571955
4040 5291641802768113
4040 5422716096239493
4040 5497436583620487
4041 5114793015165367
4041 5121907768158632
4042 5094649815749153
4042 5308654405762040
4042 5336292869184148
4045 5171260310493413
4045 5184909852822795
4046 5394654853000277
4048 5405811971283155
4050 5187447014229728
4051 5451914340282692
4052 5066824496653050
4052 5129057845984868
4052 5169574733111638
4053 5034286647664697
4053 5117376427802947
4053 5173905140822590
4053 5264890156775685
4053 5267507447175262
4053 5289859235636152
4053 5420940481605280
4053 5465936722011007
4055 5011754983421212
4055 5051829602599638
4055 5122293819491502
4055 5126153032557510
4055 5252880167975188
4055 5271481019820795
4055 5341820677899573
4057 5257159961077608
4057 5263295966233165
4057 5281774391176465
4057 5394756897697790
4057 5444956968160183
4058 5172942036196412
4058 5304412225781090
4059 5152236455907798
4060 5021116293609827
4060 5055969923272355
4060 5275286243683738
4060 5278521782539947
4061 5411170141934092
4061 5423043908834617
4063 5071548360727412
4063 5156271819488045
4064 5072526420009333
4064 5449596920418943
4065 5028069771981233
4065 5378289079732293
4065 5466345592769612
4066 5211263241221642
4066 5231264298718197
4067 5083224484516640
4067 5309016671062085
4067 5346030459573515
4067 5498365514903000
4068 5114856573237485
4068 5161588673638315
4068 5201180468399912
4068 5226980752845105
4069 5035362750474128
4069 5144965039995018
4070 5244444269401250
4070 5318044127287182
4074 5131707436938463
4075 5417196822983858
4075 5439475550075863
4076 5409739604221937
4079 5052745287070423
4079 5363020600099808
4080 5291194243219615
4081 5121261606162152
4081 5240547387091622
4082 5433074640214645
4082 5491918606952145
4083 5011008360059532
4083 5090685587887167
4085 5182887816355492
4085 5359070592358847
4086 5248729829952872
4087 5047832809653078
4087 5400292470282245
4088 5090218327138607
4095 5274462989579982
4095 5357701362475045
4095 5363709465897190
4095 5447414784243488
4096 5097872755217202
4096 5127844757920462
4096 5200574882735452
4097 5092869249202635
4097 5205935677037105
4097 5385735200414345
4097 5439875915118848
4097 5485825540018043
4098 5163728800917642
4098 5383945942869942
4098 5467136970867072
4100 5251096232450093
4100 5324141027593505
4100 5422942371600313
4101 5171745457994727
4102 5293857723745048
4103 5338837438350390
4103 5403869123469862
4104 5122167558405483
4104 5126681956895438
4105 5423498311169113
4106 5342010780052467
4109 5332917614182373
4110 5004702521721228
4110 5214375643787062
4110 5257536040116572
4111 5065525417627052
4112 5151061233847743
4112 5478813207096555
4113 5020341801368407
4113 5105809480812045
4114 5091458674313643
4117 5410061879802988
4117 5499364435176223
4120 5016869981538448
4121 5293227542604932
4123 5235745797614192
4125 5067301953515702
4125 5256908851942095
4125 5293360317346360
4125 5334172429269493
4126 5442555426858862
4127 5091850946206080
4127 5296440350438100
4129 5126013434371203
4130 5023562785113847
4130 5087718930398503
4130 5233739879845620
4130 5277570659406105
4132 5049427079428380
4133 5223416979531340
4133 5392884661153047
4135 5099895968401840
4135 5207492261310400
4135 5282708329148695
4135 5416144393202825
4136 5146538718231102
4136 5286731688825597
4138 5173547815463625
4139 5259312383443603
4140 5369909732069318
4142 5157103687907703
4142 5313660969051540
4142 5429866735994250
4142 5434614286233353
4143 5251864197392725
4145 5057682941080773
4145 5065703221165815
4145 5334230564517180
4146 5294140719700322
4147 5150799233196040
4148 5000577032571522
4148 5203182882134055
4148 5496362672806010
4150 5439155061534065
4152 5046775079041868
4152 5089333972390273
4152 5369693299870188
4153 5421749058964712
4153 5452168110165952
4155 5140378442419862
4155 5219970293568810
4155 5297849404902948
4155 5486790083663460
4156 5030424141918387
4156 5051104651207722
4158 5081229479595175
4160 5096461375620610
4160 5188422517133543
4160 5256309162982978
4162 5072961664651748
4163 5141930908192227
4163 5469055818336920
4165 5021343631037717
4165 5097590404791005
4165 5277633310140718
4165 5303073917559302
4165 5435113112193835
4165 5484931658431540
4166 5375028939655407
4167 5295167583801615
4170 5465574266547490
4171 5402581150607217
4171 5450262248444402
4173 5063226528244160
4173 5250639508378910
4173 5318962696524067
4175 5123464393829952
4180 5072775617261985
4180 5092835242310602
4180 5484890835521113
4181 5318568171576072
4181 5428786034113932
4182 5226881145010060
4182 5389652235107053
4183 5494638273958795
4185 5185749863433003
4187 5048434658762553
4188 5041343614568245
4189 5248785016295723
4192 5127442273970763
4193 5128542457898107
4193 5155262993589670
4195 5020550139283917
4195 5202558110020502
4196 5248975886474677
4199 5286717722367498
4199 5367099547035628
4200 5343175204269338
4202 5017988776938783
4202 5251710413818445
4202 5321111902930385
4202 5432096833310098
4202 5496343681179213
4203 5112679852553217
4205 5222868089137193
4205 5289158364987130
4207 5041612191968278
4207 5165667800004310
4207 5338170200158645
4208 5048531947414407
4209 5188671211011538
4210 5262360734658015
4210 5340049952917295
4213 5100024175752160
4213 5477816218855062
4215 5493251042809855
4217 5198869769591295
4217 5264187589092565
4220 5056457422687367
4221 5322030017762062
4221 5406631097590782
4222 5371323889735800
4223 5322986214504360
4223 5474636213654652
4225 5303950117632682
4226 5069356850163897
4228 5006731978352555
4228 5150878027112022
4228 5172927393668895
4230 5284553022121355
4232 5181229878633905
4233 5137086272901907
4235 5034511035505072
4235 5224583327991048
4242 5149966289217370
4245 5483719196909940
4247 5390539816177138
4248 5030426020407380
4248 5252476952268402
4249 5456948481747493
4252 5356484112222350
4253 5153193859641840
4254 5431562455955848
4256 5075550345121282
4257 5209281276497028
4257 5250402714475270
4259 5217579342101308
4261 5025074091565502
4261 5356731092872402
4267 5461165401218285
4268 5402003627839292
4269 5395473608734088
4270 5122889949967512
4272 5309707327108968
4274 5195398211484498
4274 5234676255764263
4275 5017954873318410
4275 5180566086610740
4275 5406509243815038
4277 5114550176739563
4278 5067784273621010
4283 5359351806922370
4293 5182970666792985
4297 5244835796238533
4305 5101931650212385
4305 5240645669669363
4314 5275403770120613
4315 5306675149014143
4319 5163745866791743
4319 5188837210572788
4324 5135719610774848
4327 5360716966838628
4329 5499124878926933
4330 5020683837996328
4330 5408731901515085
4337 5096840564351133
4340 5371340993490293
4343 5137204850216082
4346 5398809065493147
4349 5005421178609133
4349 5049041780392578
4354 5342039064974778
4355 5213035552737435
4355 5308912853705785
4356 5447661531005697
4361 5345024151832052
4365 5441576363795285
4368 5203641711574730
4370 5151475533725052
4380 5169776066344552
4382 5289011751782248
4384 5127661766268408
4385 5032271015161448
4397 5326383277209088
4398 5117324595689355
4402 5460697526472865
4405 5162645622657500
4407 5399008582754300
4425 5468173370951398
4433 5047570101117367
4438 5143241328291507
4442 5364373202978555
4445 5240783858644548
4445 5331507544553173
4448 5454677722942410
4457 5287885104877953
4458 5089809536730252
4470 5107949941176143
4472 5090714297345353
4475 5443316122682025
4485 5292059647452743
4487 5292253869519423
4487 5311988768649523
4497 5446199243628045
4504 5341480714320508
4513 5163370493705340
4515 5243860438938835
4515 5363276061804132
4527 5025399320348923
4535 5315681729472082
4543 5062960172677095
4550 5268605140387027
4563 5089550255327200
4572 5037445545859045
4576 5049617036664167
4576 5457030590477947
4583 5347786049137467
4592 5436668344006723
4635 5137321797735633
4636 5289335786245822
4701 5417248858203672
4720 5318815066778428
4723 5250110952314407
4724 5201638972325933
4753 5297997315712232
4756 5161018681158372
4775 5326501220866242
4795 5438170177029348
4845 5065113603389137
4873 5094665743866232
5000 5427169403004225
5027 5230959173336410
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Old 2019-08-13, 21:20   #129
mart_r
 
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After some delay my range should be finished by Aug 17.

As an appetizer I can tell you the first instances for 4129 and 4138:
4129 4509668123919878
4138 4508864569738147
as well as the probably first instances for three other gaps:
3994 4936819769069403
4111 4962753646664347
4141 4950902278841382

So the next two gaps not yet found should be 4161 and 4206.


There were three 5000+ gaps as of now:
5241 4902133285097972
5163 4647155166536312
5115 4647341364544438
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Old 2019-08-14, 07:49   #130
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Quote:
Originally Posted by mart_r View Post


There were three 5000+ gaps as of now:
5241 4902133285097972
5163 4647155166536312
5115 4647341364544438
Pretty!
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Old 2019-08-17, 16:27   #131
mart_r
 
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So here are my first occurence results, starting at 3994:

Code:
3994 4936819769069403
3995 4523846221518463
3997 4738585260396013
3998 4506915262773905
3999 4751440283642188
4000 4512541730217388
4001 4786064274318092
4002 4694049051062513
4003 4868312731821985
4004 4629786009422838
4005 4638061240600897
4007 4794261020815065
4008 4984489466134685
4009 4765376565650493
4010 4539074775084580
4011 4681503011540887
4012 4802588241083420
4013 4528101346933537
4015 4609016015024400
4018 4546186137130040
4020 4715814635881900
4022 4502829829237150
4023 4663071516967292
4025 4524270156771582
4026 4762261077889927
4027 4769981259274478
4028 4520679171615562
4030 4761921241837130
4031 4934448281714227
4032 4991030349973663
4034 4699074788268908
4035 4705290553204682
4037 4622249963027958
4038 4792139325895785
4040 4650249393448970
4042 4594795813456030
4043 4786188283288387
4044 4502072107696518
4046 4736562388709742
4047 4706193246929135
4048 4592138840467320
4049 4667523917081883
4051 4828646686009762
4053 4557766275973855
4055 4643950403297760
4057 4744859308230825
4058 4916776511273947
4060 4653582940763718
4061 4863730844783227
4062 4833725976043988
4063 4743970114938880
4064 4689287202795513
4065 4662288241815188
4067 4650025775740818
4068 4801468580585630
4069 4699450913954753
4070 4780640159736928
4072 4812805382073330
4074 4552070269513898
4077 4727811915611388
4078 4565045723818132
4079 4957830884476698
4081 4674891405826322
4082 4581708898692075
4083 4742099190726732
4084 4930947709418563
4085 4669447491108452
4086 4753194116559322
4088 4587612385938937
4090 4639480956772408
4092 4546075679668155
4093 4941287615036600
4094 4760810578587948
4095 4543969755251833
4097 4655901908727685
4098 4981534173339857
4100 4572852949376873
4102 4505436330585195
4103 4562658356130640
4105 4661112693464913
4106 4604405078578312
4107 4629005839042478
4110 4728291254758963
4111 4962753646664347
4112 4686871437627813
4113 4787599721524100
4114 4833692676596978
4115 4727461316120065
4117 4719603918427093
4118 4545808509057020
4120 4649997246448433
4121 4560799116244222
4123 4713299702072395
4125 4697356047248452
4126 4604856195638937
4127 4635109857158518
4128 4837480244436917
4129 4509668123919878
4130 4677648022202398
4132 4807399648125658
4134 4630547323950378
4135 4907429700776482
4136 4656516126332922
4138 4508864569738147
4140 4632361500325888
4141 4950902278841382
4142 4866196201452635
4145 4614089588732467
4147 4540377878237413
4148 4647981086745087
4151 4622301466431477
4152 4679502718319978
4153 4958020349343630
4154 4716544105603313
4155 4772635406801090
4156 4581539189850747
4157 4794955154980673
4160 4727675266064583
4162 4907437687021863
4163 4689062807788377
4165 4688296803008703
4167 4500784839533150
4170 4800627286512897
4171 4767978499110767
4173 4689980591394780
4175 4588248243186668
4184 4750430487399968
4185 4839631701568807
4186 4781717926377612
4190 4681627333770222
4192 4676905074356525
4195 4967318777175200
4197 4817903034474750
4200 4572726618748227
4202 4949261283958775
4205 4586065359601502
4210 4636406938204113
4212 4921358538104090
4213 4653126687426060
4214 4775768060424783
4223 4915830913722405
4224 4930024720854018
4225 4506583369328617
4226 4541474566217432
4230 4569963984016063
4233 4680902824161715
4235 4880223045318903
4237 4812731599130203
4242 4559589436380410
4243 4799763034745095
4245 4941241877936170
4247 4710450029211315
4248 4600803046418127
4249 4680420866178948
4250 4817421283624505
4251 4753636218701527
4253 4626674951283880
4254 4836473925545203
4259 4792729966604783
4263 4607309986036867
4267 4543940767493183
4270 4894347022539552
4273 4984307516898537
4275 4736149383697127
4277 4517116632299600
4279 4533884241426678
4280 4551457839796483
4284 4643978287061428
4285 4893674519725855
4294 4632327972391228
4295 4940267926050735
4298 4938970592596117
4303 4645701237077887
4305 4699699448397282
4310 4740456520026367
4312 4637375364047498
4317 4615921017769710
4318 4768034190033705
4320 4841810860288685
4333 4528097623797407
4335 4690753022669948
4337 4688601037430450
4338 4791105288053802
4342 4946208308411730
4345 4623257441525298
4350 4600339882367845
4355 4752102717376515
4357 4518969392045213
4363 4514629027422832
4367 4809947091477575
4370 4710335892757525
4373 4500683639061097
4375 4530044941609080
4376 4746143825784512
4377 4555135685079478
4378 4995239529182935
4380 4972244522799727
4383 4775919470261257
4393 4893263909026017
4395 4823725755037325
4405 4517272623997843
4411 4531150419648897
4412 4995172318415240
4417 4518526208263088
4429 4983426925379973
4430 4731048576385190
4437 4705346682194463
4447 4875306260174735
4453 4851440586552942
4483 4958852845173612
4488 4749526241420642
4490 4792958410181228
4497 4950596925090658
4533 4712529003933252
4540 4636510790989392
4541 4635938925741207
4543 4728456604318737
4555 4855106556630253
4562 4877549168138785
4583 4598093218056452
4590 4794071998459942
4609 4890445004146578
4655 4833925266730343
4667 4909413770036615
4678 4955734361426282
4683 4845781659863210
4737 4536198525047905
4762 4832817716729865
4822 4643810924235725
4840 4759965261087127
4905 4911510249744565
4970 4658319804767885
5115 4647341364544438
5163 4647155166536312
5241 4902133285097972
I've attached the complete output for gaps >= 3500 and, for further statistical research, a count of the gaps between 3000 and 3500.

I'd like to reserve 6.0e15 to 6.5e15 then.

Still kind of wondering whether Tomás Oliveira e Silva kept track of the gaps in his calculations...
Attached Files
File Type: txt output_only3500+.txt (157.2 KB, 22 views)
File Type: txt count_gaps_3000-3500.txt (4.7 KB, 20 views)
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Old 2019-09-27, 19:22   #132
mart_r
 
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I was just looking at the paper from Banks, Ford, and Tao which CRGreathouse was pointing at in the other thread. It looks like our search for gaps between twin primes is actually more useful than I initially thought it was.

Is 5247 still the current record for maximal twin prime gaps? Because I wanted to take the opportunity to say that I found two new maximal gaps, the larger one in the 5500+ area. Film at 10/11. Around then my range should be finished.
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