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Old 2019-05-28, 00:26   #89
Bobby Jacobs
 
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May 2018

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The biggest number in A113274 in OEIS is 28842. That corresponds to a gap of 4807 in our twin prime search.
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Old 2019-05-28, 07:55   #90
Thomas11
 
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Quote:
Originally Posted by Bobby Jacobs View Post
The biggest number in A113274 in OEIS is 28842. That corresponds to a gap of 4807 in our twin prime search.
Quote:
Originally Posted by firejuggler View Post
just saying'
Code:
4905 9000382149988845
So, presumably, the earlier searches (at least the references in OEIS A113274) ended below 9.0e14 and this gap (4807) should be hidden somewhere in Robert's ranges (e.g. below 8.5e14).
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Old 2019-05-28, 08:40   #91
Thomas11
 
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Quote:
Originally Posted by Thomas11 View Post
So, presumably, the earlier searches (at least the references in OEIS A113274) ended below 9.0e14 and this gap (4807) should be hidden somewhere in Robert's ranges (e.g. below 8.5e14).
Just noticed that Firejuggler is actually testing from 9.0e15!

And the OEIS page contains a link to Tomás Oliveira e Silva's page:
http://sweet.ua.pt/tos/twin_gaps.html

He/they already tested the range up to 1e16 (in real numbers), which corresponds to 1.666e15 in our scale.

The largest gap found by e Silva is:
Code:
4807 466213802580250
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Old 2019-05-28, 19:14   #92
Thomas11
 
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I'm running the range [1.666e15;2.0e15] now.
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Old 2019-05-29, 14:09   #93
robert44444uk
 
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Jun 2003
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Good research! Shame to have lost a whole week with 23 cores devoted though. I'll take 2.0e15 to 2.5e15.
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Old 2019-05-29, 16:22   #94
robert44444uk
 
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Quote:
Originally Posted by Thomas11 View Post
And the OEIS page contains a link to Tomás Oliveira e Silva's page:
http://sweet.ua.pt/tos/twin_gaps.html

He/they already tested the range up to 1e16 (in real numbers), which corresponds to 1.666e15 in our scale.

The largest gap found by e Silva is:
Code:
4807 466213802580250
The first value for which Tomas did not find a gap was 3659. Here is the table of gaps from 3000 up to that level

Code:
3000	118240767016918
3001	142197997889262
3002	55060640293083
3003	56859948819882
3004	206053016592207
3005	113325209696265
3006	209662169007197
3007	99403059194110
3008	74893045869040
3009	62821448061263
3010	91676191127973
3011	196745958124867
3012	102207844295723
3013	123188841398067
3014	19756457270408
3015	83139930855865
3016	264095286829287
3017	93009904593328
3018	75194948692945
3019	54302263359608
3020	44766456382202
3021	85936343395217
3022	63781195277280
3023	28091413696672
3024	129519116120273
3025	53062931353007
3026	131809810129277
3027	35885810689260
3028	50579181621965
3029	136181353765233
3030	21547485527012
3031	30848888203537
3032	23433885765580
3033	75455586291535
3034	69185605231698
3035	99686438465647
3036	66641020081727
3037	94270739324263
3038	79418816308692
3039	124770348559483
3040	21163885637575
3041	123128455787472
3042	44934783980215
3043	116975609384347
3044	135900545148618
3045	57671331408005
3046	106103762113492
3047	197394026347377
3048	44877901163102
3049	68230678498078
3050	97980958250733
3051	102309455299117
3052	74515542752023
3053	88744554962437
3054	60251722280318
3055	58178549290705
3056	59124540913142
3057	136050001986213
3058	71411377603800
3059	161599110761193
3060	63499328355017
3061	165766880181812
3062	110289061899858
3063	84627151762587
3064	12444779302713
3065	54113784175330
3066	132588244463862
3067	97667530729995
3068	73977466947865
3069	195998547494492
3070	123748077469147
3071	147099403824132
3072	60259148054843
3073	121159796536522
3074	100618723370903
3075	76952153491615
3076	132808428970602
3077	41032798997333
3078	73161488625505
3079	177876429021687
3080	47331009968522
3081	104673358000592
3082	49734020705308
3083	144162837231007
3084	194731333863747
3085	34508100900142
3086	50942664016877
3087	56972054856335
3088	27638342871582
3089	194209879331122
3090	107475669299362
3091	98509846811047
3092	105448549883450
3093	109546725126822
3094	60128602805173
3095	35809324288238
3096	171179445004767
3097	121955413120338
3098	76915917021195
3099	197884071559987
3100	61126098385943
3101	118465612938767
3102	145504384665623
3103	152178122792652
3104	267370390859662
3105	186087980062407
3106	154167336623092
3107	71519847727653
3108	150288408529590
3109	199064777761347
3110	154830954551628
3111	316152757567642
3112	203529493348405
3113	47051349201642
3114	294142522369867
3115	47380338989218
3116	134451618841397
3117	69195856318153
3118	263997377748543
3119	280277156510637
3120	76480436848615
3121	101856235494122
3122	39697838080885
3123	99182343910225
3124	218809855655152
3125	77134785483660
3126	78788981193807
3127	114726565300200
3128	56696792509717
3129	75209235075013
3130	60505249740645
3131	220459121801077
3132	156434616925283
3133	110566950547767
3134	129738896244118
3135	143229492560018
3136	31939818400222
3137	120630085179235
3138	233843120752188
3139	83299404592093
3140	123142934825918
3141	129868252815907
3142	103680990310798
3143	79679896105157
3144	399795784786827
3145	88992157181170
3146	139107074833372
3147	111785111731835
3148	53374244132685
3149	144279072410253
3150	27631020587548
3151	168951483161037
3152	159404459979985
3153	149701122455215
3154	433648726364317
3155	113403821325032
3156	259192020423732
3157	39207270637243
3158	36278845344450
3159	105021564969573
3160	90630406319303
3161	123842602108972
3162	60692788761703
3163	181063684396787
3164	228848174046652
3165	96485483510273
3166	106495439075702
3167	63426487999023
3168	182516608938412
3169	148261013820413
3170	168310629005887
3171	137089269148762
3172	256856197698067
3173	23388661523855
3174	259697155693727
3175	147888191905340
3176	206114128062582
3177	115629981988988
3178	111879050820967
3179	94976634139453
3180	60304828740558
3181	217279414975147
3182	185359207144712
3183	116666369457542
3184	183451605396882
3185	22497895925647
3186	249685717474902
3187	129423924433968
3188	180561939130787
3189	188337823959487
3190	83147531343585
3191	394628547633932
3192	167969361984940
3193	33304379959727
3194	154325237567903
3195	251671009463052
3196	100162624574332
3197	70402743328195
3198	178119885158527
3199	150439743566313
3200	122353702869260
3201	64375912895542
3202	107214075581860
3203	338368328075758
3204	184665783789472
3205	172627856207670
3206	36256798004782
3207	73915875774905
3208	80755994963985
3209	426460154247067
3210	84835726434308
3211	362002520626322
3212	68463173475553
3213	92899030196147
3214	212014143357327
3215	193289703036257
3216	375124279538722
3217	101531009326033
3218	113926302944750
3219	182060252390972
3220	145772456803472
3221	141840337426267
3222	82495380414095
3223	74241035130922
3224	137522525065303
3225	76469270838522
3226	142734469153867
3227	147786992562150
3228	124324759893702
3229	297941254151172
3230	204192954493245
3231	210188631479897
3232	91606148704018
3233	92188395586390
3234	190475728665412
3235	248775548248677
3236	43202127105567
3237	110372441253918
3238	138931921372300
3239	70932985103533
3240	100126916521720
3241	429137229694387
3242	274452283322367
3243	187554305848077
3244	491668861876692
3245	173841507503790
3246	214918423604022
3247	254268776630123
3248	120224322740802
3249	57118928829868
3250	187759597233035
3251	224726614162687
3252	136286587760118
3253	104404614408035
3254	108697866367403
3255	153603090370098
3256	311347531414342
3257	180526570700842
3258	147647292077982
3259	255148116369512
3260	170647926575347
3261	271093969155727
3262	208313811076587
3263	351677448510047
3264	307081270674137
3265	151930373049777
3266	148429069658607
3267	89308049332910
3268	125463550298350
3269	225873049323777
3270	268690186107793
3271	199506742540527
3272	179996768787592
3273	322091005979718
3274	150230218711323
3275	244263119514047
3276	418984218360412
3277	284227687275728
3278	113179340237292
3279	429984768952117
3280	140607027269420
3281	295735490562017
3282	85917251872980
3283	72036339788830
3284	168309525214757
3285	114834064596883
3286	163918178657137
3287	343404015490093
3288	102664938828942
3289	163990412551103
3290	257884235752632
3291	19456979316497
3292	317093167542432
3293	201004894035605
3294	62508833766473
3295	203000667642477
3296	263949725150592
3297	46996813071350
3298	360693811513597
3299	339217836390022
3300	76546909831828
3301	346383433901137
3302	207939152183437
3303	197338079035962
3304	341470965361507
3305	241711687705322
3306	228263251931437
3307	359212774887427
3308	187725663210085
3309	207230535978572
3310	22962705988603
3312	335592153769888
3313	80608415529845
3313	80608415529845
3314	509150732932537
3315	323461956042517
3316	103265807847832
3317	322709704203142
3318	190448575132995
3319	420549888792622
3320	30140466984558
3321	612211013028367
3322	85814962311195
3323	74615507303880
3324	170201976515202
3325	146950214017500
3326	231896932439132
3327	277991683053868
3328	148698308774687
3329	326042345371252
3330	285951114503412
3331	358740294539722
3332	22731850788105
3333	355048755768317
3334	245675870731857
3335	141319904629173
3336	318047242912602
3337	143029581067335
3338	324888160090448
3339	244556771219247
3340	234207524124498
3341	684725355860402
3342	401659665776913
3343	65852896139432
3344	203982405977342
3345	104706281255257
3346	91812069290067
3347	314842169428152
3348	214491985463612
3349	501071900142467
3350	119446559954998
3351	222848503720437
3352	135752015188640
3353	137926185012087
3354	490339510161937
3355	289433779219543
3356	501676568412257
3357	115423754618448
3358	41792675313312
3359	343178779172947
3360	177204471752622
3361	63758920805947
3362	373129199240778
3363	81870549425002
3364	335563136368697
3365	225266791264718
3366	457819026991567
3367	456948570899408
3368	298815790392347
3369	199720180606542
3370	252619508710657
3371	219902277249457
3372	121076718067093
3373	305669079258798
3374	62600496560143
3375	188561164756022
3376	123913429717397
3377	284905376023578
3378	353303501497187
3379	236233834364937
3380	169512786544637
3381	520041370244802
3382	462774004824917
3383	121698908540820
3384	151602513117113
3385	174297137910447
3386	277795854690247
3387	386365414177507
3388	182418331291752
3389	456417392204622
3390	82511203023543
3391	614491663502742
3392	281141808985937
3393	77919126309707
3394	127181779164213
3395	114775524416058
3396	956548812672742
3397	335295589697923
3398	533754796748642
3399	174965278681167
3400	84961012195190
3401	392558806098772
3402	378829261693503
3403	168221649610802
3404	826766958455612
3405	413971614096343
3406	285605911196847
3407	163439040179333
3408	334700299163522
3409	327861006668477
3410	93269186508663
3411	375802299692027
3412	270440771158843
3413	130933944212830
3414	50682899247428
3415	77139101200738
3416	438177395381187
3417	273158427205737
3418	188857901900792
3419	519916308503922
3420	235043181514967
3421	255159184645057
3422	36891073277685
3423	390476004009218
3424	440748055738462
3425	219453356771392
3426	139798046596042
3427	363235342864873
3428	388594383677498
3429	171357166222637
3430	223602970691728
3431	413831628189002
3432	283314254713938
3433	336170836494113
3434	244837824272642
3435	278276165759142
3436	361169609878242
3437	272604011794477
3438	193096558522087
3439	318124804058067
3440	173293227842583
3441	713219875019802
3442	192159050632398
3443	72657197872542
3444	439849989503842
3445	375586237250247
3446	565000324114707
3447	462267597348933
3448	155275232941832
3449	1065846223264498
3450	440688163432122
3451	416979477967712
3452	361465274160987
3453	530997983960883
3454	339952663607292
3455	167423264641602
3456	466726090486507
3457	363728208208222
3458	263009084496872
3459	148682606467803
3460	234308882543967
3461	388592527183567
3462	433505942563788
3463	285789370194793
3464	536864434135542
3465	213283481845557
3466	505542087865847
3467	192538568747072
3468	373666552564067
3469	355859485153757
3470	468453931503803
3471	363129381985457
3472	358581180815537
3473	360113761223013
3474	533121864383487
3475	105964952598428
3476	666296972944907
3477	147541438483978
3478	387447773580808
3479	464042900242422
3480	103005674036968
3481	722562632220242
3482	256844350013848
3483	474069028517007
3484	87671252872203
3485	168555671702358
3486	812921211720207
3487	396480880147612
3488	200926394923602
3489	313104455473137
3490	148109438484670
3491	612379170511287
3492	523187304295182
3493	220783288387173
3494	1020228785986378
3495	153676109344623
3496	344283120984912
3497	528956748823023
3498	448915126056462
3499	300308742224627
3500	332852795863583
3501	464739962618577
3502	78670878575348
3503	414338408606182
3504	410564696564297
3505	356843929771453
3506	850635700699872
3507	396172734174167
3508	609993527156317
3509	369173158720027
3510	180537192781108
3511	766716902764062
3512	674166924129292
3513	310962162459343
3514	677658686081232
3515	139564431591078
3516	381864248290392
3517	625955210538727
3518	459346399511772
3519	644289081062542
3520	351290684635817
3521	553572658753557
3522	885355806746167
3523	333178956606853
3524	709933703509822
3525	622556387846652
3526	309366041150812
3527	529447962498072
3528	287352746695847
3529	779704156492257
3530	381177242026848
3531	316051002502022
3532	171142877254292
3533	644362584441527
3534	705293829272617
3535	569909459632518
3536	768725035004707
3537	412475189396263
3538	324301455018443
3539	740357904971152
3540	177836285609362
3541	429135470548537
3542	193658324202843
3543	260616533864207
3544	253507649828992
3545	357260579552018
3546	734285882827542
3547	684274311048058
3548	435403722303868
3549	319433315487912
3550	465796614109778
3551	663667522911227
3552	182896196887487
3553	214452898427288
3554	718592551790767
3555	380888263549742
3556	857335510757817
3557	498102709056562
3558	684855009498522
3559	1415931820757328
3560	404710309426472
3561	329116468394802
3562	161094374641855
3563	541039220614667
3564	522910886934802
3565	443814861187138
3566	1141959003760297
3567	283147275663377
3568	401870175388038
3569	615784738456597
3570	290397748052127
3571	696633119241257
3572	283547744396173
3573	224465522765782
3574	584953291576537
3575	513071862835348
3576	750453777463162
3577	276333540562972
3578	549509468071998
3579	641364026981747
3580	117246495756567
3581	715949935864072
3582	336355919816237
3583	489526734100617
3584	946384044785437
3585	91866200824512
3586	156606918727212
3587	271676575296087
3588	458083498096432
3589	648019503363742
3590	443820190505308
3591	619967353128412
3592	607004700394737
3593	610074487005613
3594	343164104002532
3595	447376850113772
3596	414293126532252
3597	619900290151587
3598	550708136327227
3599	666606720332282
3600	536022504484122
3601	616432972997562
3602	984368566860918
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3604	314713551532852
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3606	914975105204687
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3609	1326816560788428
3610	356324131582258
3611	291975500499702
3612	536135994257697
3613	651299879206663
3614	1545634951552158
3615	312392115413588
3616	941439305873377
3617	390604613527298
3618	390434216439202
3619	1039004891886698
3620	313685794060727
3621	1321654085911922
3622	410483352789712
3623	594729069577718
3624	463485040991192
3625	200953033564602
3626	514283663718627
3627	336669709363688
3628	308479340301967
3629	1069676209642618
3630	263394054337887
3631	856708838065157
3632	272865172140612
3633	1010998226852080
3634	851503253915947
3635	517139125746217
3636	354703335762237
3637	622164593150727
3638	939088420259218
3639	973874029708157
3640	239010083788172
3641	662076156073292
3642	338625444622038
3643	303020570282838
3644	601324074361222
3645	375457654725997
3646	953099497536042
3647	653169226355553
3648	255837486326327
3649	347338158101372
3650	747320679031567
3651	594811703078477
3652	603428363853487
3653	416085466500847
3654	573200790797932
3655	58995174450558
3656	840074659965492
3657	845904496094168
3658	796380904659728

Last fiddled with by robert44444uk on 2019-06-05 at 16:03
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Old 2019-05-29, 18:17   #95
firejuggler
 
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hrmm
probably not the first occurence but

Code:
3659 9009085814729403
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Old 2019-05-30, 14:55   #96
Thomas11
 
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Feb 2003

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This is the first occurrence:

Code:
3659 1689960282469393
The next unknown gaps are: 3671, 3676, 3759, 3776, 3779, 3804, 3809, 3811, ...

Last fiddled with by Thomas11 on 2019-05-30 at 15:01
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Old 2019-05-31, 00:52   #97
robert44444uk
 
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Jun 2003
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This looks a find:

Code:
5217 2152371146552753
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Old 2019-06-02, 09:42   #98
Thomas11
 
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Feb 2003

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I finished the range [1.666e15;2.0e15] and found 79 new first occurrences (see below).

The attached ZIP file contains 3 files:
twingaps_1666-2000e12.txt ... all gaps >= 3000
newgaps_1666-2000e12.txt ... first occurrences
TOS_twingaps_3000.txt ... gaps >= 3000 found by Tomás Oliveira e Silva

The next unknown gap is 3676.
I will continue from 2.5e15.

Here are the first occurrences from my range:
Code:
3659	1689960282469393
3671	1750926770970442
3716	1867088059813917
3759	1745967645065838
3776	1957182024075737
3804	1676627934646233
3811	1880823822983462
3816	1908546241091997
3819	1745855090359803
3854	1987298821452348
3859	1776521616184453
3881	1698639861799442
3885	1802205076930785
3892	1748459233650840
3899	1828412000645808
3937	1963287680425908
3941	1931161175477182
3952	1921873153255643
3958	1836525817692045
3967	1721697992892075
3971	1688340896414527
3973	1781216960382417
3974	1976642847681373
3976	1777863364122592
3980	1777449285661397
3982	1893162556302420
3993	1891748022748035
3997	1826546883435850
3998	1711480965055920
4002	1769171986803365
4003	1997064506246360
4018	1996467515979655
4020	1721916884236108
4025	1953125084630825
4026	1721242158451617
4030	1901893255597178
4033	1713614040781955
4037	1972140846666893
4045	1672959388037165
4054	1719902355381493
4062	1687657443854720
4069	1845711356383603
4077	1729098961597730
4083	1825261017522812
4089	1873317304338168
4096	1871569841901812
4110	1746802327121420
4118	1802916724868817
4121	1807007916836962
4128	1960880359159227
4130	1922606198860165
4153	1881182278930152
4163	1668218511567745
4164	1877847005840733
4186	1813619473432742
4211	1969178590026042
4213	1740923833526280
4231	1723510983089382
4240	1679597234730223
4262	1921890369148368
4271	1714051699186817
4272	1893625479814705
4290	1695010051753407
4330	1686474775065267
4340	1759258832528843
4353	1838597675132705
4382	1856011573659100
4407	1974859408099858
4408	1736635927116017
4421	1953851015329372
4423	1759437859121232
4460	1748739180950288
4480	1744124663325630
4537	1683806282306313
4562	1946311281987013
4580	1676722249644948
4615	1917545820632722
4730	1682094788761830
4762	1962315705801470
Attached Files
File Type: zip results_1666-2000e12.zip (311.1 KB, 21 views)
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Old 2019-06-03, 13:34   #99
firejuggler
 
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another record high

Code:
5110 9021884155523183
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