Thread 'Банк центральных 11-к'

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Message 286 - Posted: 17 Jun 2025, 6:48:35 UTC
Last modified: 17 Jun 2025, 7:47:42 UTC

Переношу сюда тему с форума проекта ОДЛК
https://boinc.progger.info/odlk/forum_thread.php?id=315

Здесь собираются центральные 11-ки, найденные в BOINC-проекте ODLK2025 и в ручном проекте.

+2 от BOINC-проекта

28331920242893866329269963: [0,30,48,54,78,84,90,114,120,138,168]
 [0,90,96,102,120,132,162,180,186,210,216,222,246,252,270,300,312,330,336,342,432]

28331920310245987292996393: [0,30,48,54,78,84,90,114,120,138,168]
 [0,120,216,222,240,252,282,300,306,330,336,342,366,372,390,420,432,450,456,552,672]

+2 от ручного проекта

30364665871165590373: [0,30,48,54,78,84,90,114,120,138,168]
32051002751375672473: [0,30,48,54,78,84,90,114,120,138,168]

The TBEG BOINC project maintains the database
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Message 287 - Posted: 17 Jun 2025, 6:57:52 UTC
Last modified: 17 Jun 2025, 16:01:13 UTC

Готова ответить на ваши вопросы.

Спрашивайте или по-русски, или по-английски.
Соответственно буду отвечать.
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Message 288 - Posted: 17 Jun 2025, 7:42:48 UTC
Last modified: 17 Jun 2025, 7:43:36 UTC

Это первая порция набранных центральных 11-к, отсортирована в порядке возрастания начальных элементов кортежей
114 штук


16458739232476866185620883
16458739441373099853722449
16458739467185107182081569
16458739502334027038128243
16458739592290242509626333
16458739606805408508846659
16458739644996806731404239
16458739650836503005877469
17200813017047952937250029
17200813033090208154248479
17200813033428537940951493
17200813070344962161027333
17200813084730683036488983
17200813245052998606751283
17200813265046993871769189
17200813304051636956746913
17200813332643388443860119
17200813342950460829549653
17200813360766076725613353
17200813369055750579669779
17942886840858685501841909
17942886869548799040888583
17942886934751019406180439
17942886946491604400176843
17942886988182824986502153
17942887122866647874620943
17942887129936800724112129
17942887175208785135055679
17942887237593951090573979
18684960679769472696902003
18684960731824460031053519
18684960797186967273426013
18684960828244955992137253
18684960834585724036833899
18684960870174168555305183
18684960871305578307217183
18684960887117719206908759
18684960913133646567310129
18684960929352592483472833
18684960940168454043028039
18684960961118967559809173
19427034494507595537267109
19427034653915453411127859
19427034677821467929632369
19427034710515267666210789
19427034725317460500578743
19427034741758608418168123
19427034777341734794911629
19427034778627421837591123
19427034832150966507260743
19427034843280821992645533
20169108288990585362804489
20169108343661919324013909
20169108533297930876690143
20169108536168713632325069
20169108581631949810986979
20169108621391864242434189
20169108704428175740634249
20911182104101636507230479
20911182160214945053260929
20911182178947411463213679
20911182230285986667468149
20911182282013897949685473
20911182373226284553203913
20911182383821342521268069
20911182405806684570474759
20911182415313805581908519
20911182501939047305093229
20911182518104702328184803
21653255899978673814597463
21653256017506232342288489
21653256057617354537052109
21653256074912190134846849
21653256138328792366893473
21653256210028121316331663
21653256303285395413730683
21653256304033064387526973
22395329716208017535482093
22395329760210225257472743
53542621011013575888176593
61669653285885729546732133
77279328827292660435316813
114934247616650165981366953
120910921409093609280376753
122332786592173357444023643
180389424542786029499182663
190815760351085626337290573
192164917656459646912393243
207877807033066521463762513
212960240550241653226902553
215557655843996044038860263
217098151765265525510805913
237265938974623968126602293
240963581973431580389566303
290364228761381636875543393
295670800661508486410580793
308141248261471126475888323
347985980410168395462847543
356707145553015828158662483
388353277425076421014611463
412625171684381944756988383
415496522743762077501813793
415919230154935362336185113
428548969620875213447637163
430844634340322245869986023
441429832729127190373845283
469264346854921966211758303
498246123395865647749015933
500643610282144273323599083
502767868555134849936799393
515461785794534460064127353
520999937303378726332609333
533203408100815882886230183
545630597952234475480739803

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Message 289 - Posted: 18 Jun 2025, 2:23:46 UTC
Last modified: 18 Jun 2025, 15:43:38 UTC

+1 от BOINC-проекта

28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

+3 от ручного проекта

15517782351298641823: [0,30,48,54,78,84,90,114,120,138,168]
18300943821848021743: [0,30,48,54,78,84,90,114,120,138,168]
13685663783960332573: [0,30,48,54,78,84,90,114,120,138,168]

The TBEG BOINC project maintains the database
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Message 290 - Posted: 18 Jun 2025, 2:45:12 UTC
Last modified: 18 Jun 2025, 2:52:24 UTC

Здесь мы собираем результаты третьего Приложения - Calc21Tuples.

Результаты выводятся ежесуточно здесь
https://boinc.mak.termit.me:5000/algo_21/

Алгоритм предназначен для поиска симметричного 21-tuplet по 30 преемственным паттернам.

Вот эти паттерны

0, 54, 60, 66, 84, 96, 126, 144, 150, 174, 180, 186, 210, 216, 234, 264, 276, 294, 300, 306, 360
0, 24, 84, 90, 108, 120, 150, 168, 174, 198, 204, 210, 234, 240, 258, 288, 300, 318, 324, 384, 408
0, 78, 84, 90, 108, 120, 150, 168, 174, 198, 204, 210, 234, 240, 258, 288, 300, 318, 324, 330, 408
0, 6, 90, 96, 114, 126, 156, 174, 180, 204, 210, 216, 240, 246, 264, 294, 306, 324, 330, 414, 420
0, 30, 90, 96, 114, 126, 156, 174, 180, 204, 210, 216, 240, 246, 264, 294, 306, 324, 330, 390, 420
0, 84, 90, 96, 114, 126, 156, 174, 180, 204, 210, 216, 240, 246, 264, 294, 306, 324, 330, 336, 420
0, 6, 96, 102, 120, 132, 162, 180, 186, 210, 216, 222, 246, 252, 270, 300, 312, 330, 336, 426, 432
0, 12, 96, 102, 120, 132, 162, 180, 186, 210, 216, 222, 246, 252, 270, 300, 312, 330, 336, 420, 432
0, 36, 96, 102, 120, 132, 162, 180, 186, 210, 216, 222, 246, 252, 270, 300, 312, 330, 336, 396, 432
0, 90, 96, 102, 120, 132, 162, 180, 186, 210, 216, 222, 246, 252, 270, 300, 312, 330, 336, 342, 432
0, 48, 144, 150, 168, 180, 210, 228, 234, 258, 264, 270, 294, 300, 318, 348, 360, 378, 384, 480, 528
0, 54, 144, 150, 168, 180, 210, 228, 234, 258, 264, 270, 294, 300, 318, 348, 360, 378, 384, 474, 528
0, 60, 144, 150, 168, 180, 210, 228, 234, 258, 264, 270, 294, 300, 318, 348, 360, 378, 384, 468, 528
0, 30, 174, 180, 198, 210, 240, 258, 264, 288, 294, 300, 324, 330, 348, 378, 390, 408, 414, 558, 588
0, 78, 174, 180, 198, 210, 240, 258, 264, 288, 294, 300, 324, 330, 348, 378, 390, 408, 414, 510, 588
0, 84, 174, 180, 198, 210, 240, 258, 264, 288, 294, 300, 324, 330, 348, 378, 390, 408, 414, 504, 588
0, 90, 174, 180, 198, 210, 240, 258, 264, 288, 294, 300, 324, 330, 348, 378, 390, 408, 414, 498, 588
0, 114, 174, 180, 198, 210, 240, 258, 264, 288, 294, 300, 324, 330, 348, 378, 390, 408, 414, 474, 588
0, 114, 210, 216, 234, 246, 276, 294, 300, 324, 330, 336, 360, 366, 384, 414, 426, 444, 450, 546, 660
0, 120, 210, 216, 234, 246, 276, 294, 300, 324, 330, 336, 360, 366, 384, 414, 426, 444, 450, 540, 660
0, 126, 210, 216, 234, 246, 276, 294, 300, 324, 330, 336, 360, 366, 384, 414, 426, 444, 450, 534, 660
0, 150, 210, 216, 234, 246, 276, 294, 300, 324, 330, 336, 360, 366, 384, 414, 426, 444, 450, 510, 660
0, 72, 216, 222, 240, 252, 282, 300, 306, 330, 336, 342, 366, 372, 390, 420, 432, 450, 456, 600, 672
0, 120, 216, 222, 240, 252, 282, 300, 306, 330, 336, 342, 366, 372, 390, 420, 432, 450, 456, 552, 672
0, 126, 216, 222, 240, 252, 282, 300, 306, 330, 336, 342, 366, 372, 390, 420, 432, 450, 456, 546, 672
0, 132, 216, 222, 240, 252, 282, 300, 306, 330, 336, 342, 366, 372, 390, 420, 432, 450, 456, 540, 672
0, 102, 246, 252, 270, 282, 312, 330, 336, 360, 366, 372, 396, 402, 420, 450, 462, 480, 486, 630, 732
0, 150, 246, 252, 270, 282, 312, 330, 336, 360, 366, 372, 396, 402, 420, 450, 462, 480, 486, 582, 732
0, 126, 270, 276, 294, 306, 336, 354, 360, 384, 390, 396, 420, 426, 444, 474, 486, 504, 510, 654, 780
0, 150, 294, 300, 318, 330, 360, 378, 384, 408, 414, 420, 444, 450, 468, 498, 510, 528, 534, 678, 828

Попутными промежуточными результатами поиска являются центральные кортежи, начиная с длины 9.
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Message 291 - Posted: 18 Jun 2025, 3:07:57 UTC
Last modified: 18 Jun 2025, 3:44:07 UTC

Пример

28331920352597751872197669: [0,18,24,48,54,60,84,90,108]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

28331920352597751872197669: [0,18,24,48,54,60,84,90,108]
 [0,54,144,150,168,180,210,228,234,258,264,270,294,300,318,348,360,378,384,474,528]

28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]
 [0,54,144,150,168,180,210,228,234,258,264,270,294,300,318,348,360,378,384,474,528]

28331920352597751872197669: [0,18,24,48,54,60,84,90,108]
 [0,60,144,150,168,180,210,228,234,258,264,270,294,300,318,348,360,378,384,468,528]

28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]
 [0,60,144,150,168,180,210,228,234,258,264,270,294,300,318,348,360,378,384,468,528]

28331920352597751872197669: [0,18,24,48,54,60,84,90,108]
 [0,102,246,252,270,282,312,330,336,360,366,372,396,402,420,450,462,480,486,630,732]

28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]
 [0,102,246,252,270,282,312,330,336,360,366,372,396,402,420,450,462,480,486,630,732]

28331920352597751872197669: [0,18,24,48,54,60,84,90,108]
 [0,126,270,276,294,306,336,354,360,384,390,396,420,426,444,474,486,504,510,654,780]

28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]
 [0,126,270,276,294,306,336,354,360,384,390,396,420,426,444,474,486,504,510,654,780]

Запись
28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

означает: найдена центральная 11-ка
28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]

по паттерну
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

Запись
28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]
 [0,126,270,276,294,306,336,354,360,384,390,396,420,426,444,474,486,504,510,654,780]

означает: найдена центральная 11-ка
28331920352597751872197639: [0,30,48,54,78,84,90,114,120,138,168]

по паттерну
 [0,126,270,276,294,306,336,354,360,384,390,396,420,426,444,474,486,504,510,654,780]

Теперь вы понимаете, почему так много одинаковых центральных 11-к, они найдены по разным паттернам.
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Message 300 - Posted: 18 Jun 2025, 23:54:34 UTC
Last modified: 19 Jun 2025, 9:45:45 UTC

+1 от BOINC-проекта

28331920491714018253169959: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

+4 от ручного проекта

24888335186702021443: [0,30,48,54,78,84,90,114,120,138,168]
16131933107531956123: [0,30,48,54,78,84,90,114,120,138,168]
12377818266978929173: [0,30,48,54,78,84,90,114,120,138,168]
14867042524276537003: [0,30,48,54,78,84,90,114,120,138,168]

The TBEG BOINC project maintains the database
https://boinc.tbrada.eu/spt/explore.php
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Message 304 - Posted: 19 Jun 2025, 10:59:40 UTC
Last modified: 19 Jun 2025, 11:01:08 UTC

Собрала и отсортировала ещё одну порцию, она содержит 102 центральные 11-ки

12377818266978929173,
13685663783960332573,
14867042524276537003,
15517782351298641823,
16131933107531956123,
18300943821848021743,
24888335186702021443,
30364665871165590373,
32051002751375672473,
16283371226711492842858783,
22395329800987042741997579,
22395329832480792325548379,
22395329916654322530107783,
22395329925675954168657599,
22395329935666079033998219,
22395329944893298631678303,
22395329975926407608658959,
22395330004414512716871709,
22395330078621877798200203,
23137403540228640242299843,
23137403598863938598624819,
23137403602557470795449289,
23137403649875125867005173,
23137403654093304845488643,
23137403718352666374621959,
23879477413732613211668839,
23879477490327373273239289,
23879477516609477968495259,
23879477521643237882088109,
23879477548629204406890563,
23879477573169641751003799,
23879477736271606968693143,
23879477757683878440075389,
24621551168130668852246269,
24621551303792636959285489,
24621551397354382461385973,
24621551437939638773435099,
24621551527440007161260663,
24621551535877320730930633,
24621551548370764663297199,
24621551562441429753436703,
24621551574486343525379909,
24621551580156872316525259,
25363624980181110191219059,
25363625060474120495711213,
25363625090158091328946609,
25363625111903383785284059,
25363625143048483730969653,
25363625249174781533999443,
25363625279467763215150933,
25363625329533610585822219,
25363625393879851892533429,
25363625394320610790058789,
26105698880343747121230743,
26105698963962699483501809,
26105698968596896091858993,
26105699040653638693647769,
26105699078298880873366243,
26105699092077263294410183,
26105699153113137881477563,
26105699159697486439023623,
26847772608264477488208013,
26847772617582280727447053,
26847772623153826117818299,
26847772722470603857203113,
26847772819984339804244633,
26847772824645584134308409,
26847772825307680559993803,
26847772833987315137133329,
26847772866084168655705303,
26847772902106288732329853,
26847772922153849995278373,
26847772925091483311216393,
27589846647186876736835729,
27589846682748692827092863,
27589846711984656879179809,
27589846739256223987584989,
27589846835263448188853369,
28331920242893866329269963,
28331920310245987292996393,
28331920352597751872197639,
28331920491714018253169959,
68771705811984209097718063,
123000134090181360480077473,
179887232190572135187648553,
220984595955317985956029273,
222536019214345433973770803,
237265938974623968126602293,
337907834852885041355149963,
357558648374109449202034963,
415496522743762077501813793,
456541781366902454520386953,
543530182942674840009437203,
5683625621857800278115188143,
11901154063139254342828973983,
12300270293356147379009937613,
14340974357380594311759385423,
16164443613613888434292225183,
19636136869136960600121728443,
23708959554409892631988263553,
29387803114945427224082064463,
40331537975607837903875865343

На пересечение с первой порцией центральных 11-к (показана выше) не проверяла.
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Message 305 - Posted: 19 Jun 2025, 11:16:54 UTC
Last modified: 19 Jun 2025, 11:18:45 UTC

Среди показанных центральных 11-к есть шесть матрёшечных, то есть таких, которые продолжаются до симметричного 13-tuplet.

Вот они

22395329944893298631678291[22395329944893298631678303, 22395329944893298631678333, 22395329944893298631678351, 22395329944893298631678357, 22395329944893298631678381, 22395329944893298631678387, 22395329944893298631678393, 22395329944893298631678417, 22395329944893298631678423, 22395329944893298631678441, 22395329944893298631678471]22395329944893298631678483

22395329944893298631678291: 0, 12, 42, 60, 66, 90, 96, 102, 126, 132, 150, 180, 192


23137403540228640242299801[23137403540228640242299843, 23137403540228640242299873, 23137403540228640242299891, 23137403540228640242299897, 23137403540228640242299921, 23137403540228640242299927, 23137403540228640242299933, 23137403540228640242299957, 23137403540228640242299963, 23137403540228640242299981, 23137403540228640242300011]23137403540228640242300053

23137403540228640242299801: 0, 42, 72, 90, 96, 120, 126, 132, 156, 162, 180, 210, 252


26847772617582280727447017[26847772617582280727447053, 26847772617582280727447083, 26847772617582280727447101, 26847772617582280727447107, 26847772617582280727447131, 26847772617582280727447137, 26847772617582280727447143, 26847772617582280727447167, 26847772617582280727447173, 26847772617582280727447191, 26847772617582280727447221]26847772617582280727447257

26847772617582280727447017: 0, 36, 66, 84, 90, 114, 120, 126, 150, 156, 174, 204, 240


26847772833987315137133317[26847772833987315137133329, 26847772833987315137133359, 26847772833987315137133377, 26847772833987315137133383, 26847772833987315137133407, 26847772833987315137133413, 26847772833987315137133419, 26847772833987315137133443, 26847772833987315137133449, 26847772833987315137133467, 26847772833987315137133497]26847772833987315137133509

26847772833987315137133317: 0, 12, 42, 60, 66, 90, 96, 102, 126, 132, 150, 180, 192


26847772866084168655705273[26847772866084168655705303, 26847772866084168655705333, 26847772866084168655705351, 26847772866084168655705357, 26847772866084168655705381, 26847772866084168655705387, 26847772866084168655705393, 26847772866084168655705417, 26847772866084168655705423, 26847772866084168655705441, 26847772866084168655705471]26847772866084168655705501

26847772866084168655705273: 0, 30, 60, 78, 84, 108, 114, 120, 144, 150, 168, 198, 228


16164443613613888434292225147[16164443613613888434292225183, 16164443613613888434292225213, 16164443613613888434292225231, 16164443613613888434292225237, 16164443613613888434292225261, 16164443613613888434292225267, 16164443613613888434292225273, 16164443613613888434292225297, 16164443613613888434292225303, 16164443613613888434292225321, 16164443613613888434292225351]16164443613613888434292225387

16164443613613888434292225147: 0, 36, 66, 84, 90, 114, 120, 126, 150, 156, 174, 204, 240

Примечание: в квадратных скобках находится исходная центральная 11-ка.

Как видим, только две центральные 11-ки продолжились до центральной 13-ки.
Вот они

22395329944893298631678291[22395329944893298631678303, 22395329944893298631678333, 22395329944893298631678351, 22395329944893298631678357, 22395329944893298631678381, 22395329944893298631678387, 22395329944893298631678393, 22395329944893298631678417, 22395329944893298631678423, 22395329944893298631678441, 22395329944893298631678471]22395329944893298631678483

22395329944893298631678291: 0, 12, 42, 60, 66, 90, 96, 102, 126, 132, 150, 180, 192


26847772833987315137133317[26847772833987315137133329, 26847772833987315137133359, 26847772833987315137133377, 26847772833987315137133383, 26847772833987315137133407, 26847772833987315137133413, 26847772833987315137133419, 26847772833987315137133443, 26847772833987315137133449, 26847772833987315137133467, 26847772833987315137133497]26847772833987315137133509

26847772833987315137133317: 0, 12, 42, 60, 66, 90, 96, 102, 126, 132, 150, 180, 192

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Message 306 - Posted: 19 Jun 2025, 12:17:56 UTC
Last modified: 19 Jun 2025, 19:14:57 UTC

Продолжаю собирать Банк центральных 11-к.

+2 от ручного проекта


25013281478664583513: [0,30,48,54,78,84,90,114,120,138,168]
11375188534014109213: [0,30,48,54,78,84,90,114,120,138,168]

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Message 307 - Posted: 20 Jun 2025, 2:19:07 UTC
Last modified: 20 Jun 2025, 16:41:52 UTC

+6 от ручного проекта

25088564873183576173: [0,30,48,54,78,84,90,114,120,138,168]
17558796779453043523: [0,30,48,54,78,84,90,114,120,138,168]
20668297563529660453: [0,30,48,54,78,84,90,114,120,138,168]
31419168796931399893: [0,30,48,54,78,84,90,114,120,138,168]
26489289678458661463: [0,30,48,54,78,84,90,114,120,138,168]
10567963099523203783: [0,30,48,54,78,84,90,114,120,138,168]

Пожалуйста, смотрите тему
https://boinc.progger.info/odlk/forum_thread.php?id=317

+2 от BOINC-проекта

28331920597538673635705609: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

28331920361920195762662329: [0,30,48,54,78,84,90,114,120,138,168]
 [0,114,174,180,198,210,240,258,264,288,294,300,324,330,348,378,390,408,414,474,588]

Вторая 11-ка интересна тем, что она найдена только по одному паттерну из 30.
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Message 311 - Posted: 21 Jun 2025, 1:37:42 UTC
Last modified: 21 Jun 2025, 19:52:07 UTC

+8 от ручного проекта

26782877549886922873: [0,30,48,54,78,84,90,114,120,138,168]
18522013963445226643: [0,30,48,54,78,84,90,114,120,138,168]
19384052920989401053: [0,30,48,54,78,84,90,114,120,138,168]
15948459486628343083: [0,30,48,54,78,84,90,114,120,138,168]
17607312172338052573: [0,30,48,54,78,84,90,114,120,138,168]
9077863801265559269: [0,30,48,54,78,84,90,114,120,138,168]
25850593829462241809: [0,30,48,54,78,84,90,114,120,138,168]
2079914861571286709: [0,30,48,54,78,84,90,114,120,138,168]

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Message 314 - Posted: 22 Jun 2025, 1:57:38 UTC
Last modified: 22 Jun 2025, 19:05:44 UTC

+2 от BOINC-проекта

29073994211920564206259669: [0,30,48,54,78,84,90,114,120,138,168]
 [0,24,84,90,108,120,150,168,174,198,204,210,234,240,258,288,300,318,324,384,408]

29073994213962278368096733: [0,30,48,54,78,84,90,114,120,138,168]
 [0,30,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,390,420]

+6 от ручного проекта

4096759014090042269: [0,30,48,54,78,84,90,114,120,138,168]
18568676751399214409: [0,30,48,54,78,84,90,114,120,138,168]
16322183838055515389: [0,30,48,54,78,84,90,114,120,138,168]
24777257754275666609: [0,30,48,54,78,84,90,114,120,138,168]
4130073883352707259: [0,30,48,54,78,84,90,114,120,138,168]
5399115706499494949: [0,30,48,54,78,84,90,114,120,138,168]

The TBEG BOINC project maintains the database
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Message 316 - Posted: 23 Jun 2025, 0:38:01 UTC
Last modified: 23 Jun 2025, 18:50:24 UTC

+11 от ручного проекта

11181682116549734759: [0,30,48,54,78,84,90,114,120,138,168]
3983850736512937259: [0,30,48,54,78,84,90,114,120,138,168]
6011335684508964779: [0,30,48,54,78,84,90,114,120,138,168]
8715007862896274909: [0,30,48,54,78,84,90,114,120,138,168]
4655370413804210069: [0,30,48,54,78,84,90,114,120,138,168]
3282767234977109849: [0,30,48,54,78,84,90,114,120,138,168]
14906587987975814099: [0,30,48,54,78,84,90,114,120,138,168]
8225090350135298609: [0,30,48,54,78,84,90,114,120,138,168]
17133115891065234029: [0,30,48,54,78,84,90,114,120,138,168]
9629999434347031709: [0,30,48,54,78,84,90,114,120,138,168]
243833058500484500695734209: [0,30,48,54,78,84,90,114,120,138,168]

+2 от BOINC-проекта

29073994089240592148206259: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

29073994175625895675208999: [0,30,48,54,78,84,90,114,120,138,168]
 [0,30,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,390,420]

The TBEG BOINC project maintains the database
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Message 319 - Posted: 25 Jun 2025, 1:06:32 UTC
Last modified: 25 Jun 2025, 14:10:16 UTC

+1 от BOINC-проекта

29816067908162440824289493: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

+1 от ручного проекта

318694310274002952350647709: [0,30,48,54,78,84,90,114,120,138,168]

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Message 322 - Posted: 26 Jun 2025, 1:33:12 UTC
Last modified: 26 Jun 2025, 6:00:08 UTC

+3 от BOINC-проекта

29816068083102027263042369: [0,30,48,54,78,84,90,114,120,138,168]
 [0,78,84,90,108,120,150,168,174,198,204,210,234,240,258,288,300,318,324,330,408]

29816067993481139219491219: [0,30,48,54,78,84,90,114,120,138,168]
 [0,78,84,90,108,120,150,168,174,198,204,210,234,240,258,288,300,318,324,330,408]

29816068057130200724078063: [0,30,48,54,78,84,90,114,120,138,168]
 [0,54,60,66,84,96,126,144,150,174,180,186,210,216,234,264,276,294,300,306,360]

+1 от ручного проекта

374468775632998473647326229: [0,30,48,54,78,84,90,114,120,138,168]

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Message 327 - Posted: 27 Jun 2025, 5:24:28 UTC
Last modified: 27 Jun 2025, 18:13:49 UTC

+5 от ручного проекта

128772590149330649279664029: [0,30,48,54,78,84,90,114,120,138,168]
36132716760966198211254539: [0,30,48,54,78,84,90,114,120,138,168]
345329456489180285392686539: [0,30,48,54,78,84,90,114,120,138,168]
63997086399926280173669219: [0,30,48,54,78,84,90,114,120,138,168]
110593139320580814006285299: [0,30,48,54,78,84,90,114,120,138,168]

The TBEG BOINC project maintains the database
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Message 328 - Posted: 27 Jun 2025, 23:14:12 UTC
Last modified: 28 Jun 2025, 12:47:05 UTC

+5 от BOINC-проекта

25363625358687599692102363: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

30558141670342298268305473: [0,30,48,54,78,84,90,114,120,138,168]
 [0,84,174,180,198,210,240,258,264,288,294,300,324,330,348,378,390,408,414,504,588]

30558141667508912803686749: [0,30,48,54,78,84,90,114,120,138,168]
 [0,78,84,90,108,120,150,168,174,198,204,210,234,240,258,288,300,318,324,330,408]

29816068036888198263928439: [0,30,48,54,78,84,90,114,120,138,168]
 [0,90,96,102,120,132,162,180,186,210,216,222,246,252,270,300,312,330,336,342,432]

30558141743777636419026019: [0,30,48,54,78,84,90,114,120,138,168]
 [0,54,144,150,168,180,210,228,234,258,264,270,294,300,318,348,360,378,384,474,528]

+1 от ручного проекта

63438331757561646234615389: [0,30,48,54,78,84,90,114,120,138,168]

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Message 332 - Posted: 29 Jun 2025, 0:47:44 UTC
Last modified: 29 Jun 2025, 13:42:54 UTC

+4 от BOINC-проекта

30558141916647588772008889: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

30558141871347984951513319: [0,30,48,54,78,84,90,114,120,138,168]
 [0,12,96,102,120,132,162,180,186,210,216,222,246,252,270,300,312,330,336,420,432]

30558141851640052274914999: [0,30,48,54,78,84,90,114,120,138,168]
 [0,12,96,102,120,132,162,180,186,210,216,222,246,252,270,300,312,330,336,420,432]

30558141920706570012687253: [0,30,48,54,78,84,90,114,120,138,168]
 [0,36,96,102,120,132,162,180,186,210,216,222,246,252,270,300,312,330,336,396,432]

+1 от ручного проекта

30539641195799793806003: [0,30,48,54,78,84,90,114,120,138,168]

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Message 335 - Posted: 30 Jun 2025, 0:33:29 UTC
Last modified: 30 Jun 2025, 0:39:16 UTC

+3 от BOINC-проекта

30558141977616837244941689: [0,30,48,54,78,84,90,114,120,138,168]
 [0,54,60,66,84,96,126,144,150,174,180,186,210,216,234,264,276,294,300,306,360]

30558141977616837244941677: [0,12,42,60,66,90,96,102,126,132,150,180,192]
 [0,54,60,66,84,96,126,144,150,174,180,186,210,216,234,264,276,294,300,306,360]

30558142090897053598407019: [0,30,48,54,78,84,90,114,120,138,168]
 [0,6,90,96,114,126,156,174,180,204,210,216,240,246,264,294,306,324,330,414,420]

30558141995065484563388033: [0,30,48,54,78,84,90,114,120,138,168]
 [0,48,144,150,168,180,210,228,234,258,264,270,294,300,318,348,360,378,384,480,528]

Найдена центральная 13-ка!

30558141977616837244941677: [0,12,42,60,66,90,96,102,126,132,150,180,192]
 [0,54,60,66,84,96,126,144,150,174,180,186,210,216,234,264,276,294,300,306,360]

Я создам тему "Банк центральных 13-к".
Пока их очень мало найдено, но нужно собирать, чтобы не потерять.

Центральных 9-к находится много.
Центральных 11-к в разы меньше, чем центральных 9-к.
Центральных 13-к в разы меньше, чем центральных 11-к.
Это закономерность.

Мы пока не нашли ни одной центральной 15-ки, их ещё меньше, чем центральных 13-к.
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