Вот только что сняла с Ахиллеса-3 новые приближения к 21-ке с диаметром 360 с valids>8

15716656614100668354842587: [0, 4, 70, 82, 84, 96, 124, 142, 150, 174, 186, 196, 210, 216, 234, 264, 294, 306, 346, 352, 360]
valids=10
code=52464

15716656604482893103670107: [0, 16, 52, 60, 94, 102, 132, 144, 150, 174, 184, 186, 216, 226, 234, 264, 276, 312, 334, 352, 360]
valids=9
code=7480

15716656653405012097904593: [0, 54, 66, 84, 108, 124, 126, 144, 150, 174, 180, 198, 210, 226, 238, 276, 306, 336, 340, 346, 360]
valids=9
code=278144

15716656596611758634892527: [0, 14, 26, 30, 96, 114, 132, 144, 150, 164, 180, 186, 206, 210, 234, 236, 240, 294, 300, 312, 360]
valids=9
code=6950

15716656627530949734054893: [0, 26, 30, 66, 84, 96, 108, 128, 144, 158, 170, 174, 210, 216, 234, 284, 290, 294, 326, 356, 360]
valids=9
code=114916

15716682814997390185909717: [0, 4, 60, 82, 102, 106, 126, 130, 150, 154, 180, 186, 232, 256, 264, 270, 292, 294, 300, 334, 360]
valids=9
code=142086

15716682759041373854814683: [0, 20, 56, 66, 84, 96, 138, 144, 158, 176, 180, 194, 210, 248, 258, 264, 276, 300, 308, 344, 360]
valids=10
code=119448

15716682820911039157406243: [0, 14, 18, 20, 66, 84, 98, 108, 156, 174, 180, 186, 228, 230, 234, 264, 276, 294, 300, 356, 360]
valids=10
code=1854

15716695869985484530222093: [0, 10, 48, 66, 84, 96, 126, 144, 154, 166, 174, 186, 210, 250, 258, 264, 268, 286, 340, 354, 360]
valids=10
code=127376

15716695844410299572754233: [0, 56, 60, 66, 84, 96, 98, 104, 186, 200, 206, 216, 218, 230, 234, 258, 276, 294, 326, 354, 360]
valids=9
code=245804

15716695893398457294376913: [0, 30, 44, 48, 68, 98, 128, 144, 150, 174, 200, 210, 230, 236, 264, 266, 276, 294, 300, 306, 360]
valids=9
code=7183

15716708953427400628062967: [0, 34, 54, 66, 84, 102, 106, 124, 150, 180, 186, 190, 214, 216, 250, 256, 286, 294, 300, 306, 360]
valids=9
code=100423

15716708925514785325512857: [0, 6, 54, 66, 84, 96, 122, 132, 144, 152, 180, 182, 210, 212, 234, 242, 276, 294, 300, 306, 360]
valids=12
code=115375

15716708954558957954188193: [0, 20, 54, 74, 84, 110, 116, 146, 158, 168, 174, 186, 206, 216, 224, 264, 276, 294, 300, 306, 360]
valids=10
code=33119

15716722038474546248463617: [0, 26, 42, 62, 84, 92, 134, 146, 150, 174, 180, 186, 210, 216, 230, 290, 294, 312, 330, 344, 360]
valids=9
code=36800

15716722030786634010456917: [0, 12, 60, 66, 92, 96, 126, 144, 150, 176, 182, 186, 206, 210, 216, 242, 264, 294, 326, 344, 360]
valids=10
code=227588

15716735087779654812339223: [0, 10, 28, 70, 84, 94, 136, 144, 150, 174, 186, 204, 208, 216, 258, 264, 276, 318, 334, 348, 360]
valids=9
code=40024

15716735123855881833077387: [0, 20, 24, 56, 60, 80, 122, 146, 150, 152, 156, 174, 210, 216, 234, 236, 252, 294, 300, 306, 360]
valids=9
code=2279

15716735136896703809048477: [0, 6, 56, 66, 84, 96, 126, 144, 170, 174, 180, 194, 230, 234, 254, 284, 294, 320, 326, 356, 360]
valids=9
code=128512

15716735124674929632417443: [0, 20, 24, 60, 84, 96, 108, 110, 146, 174, 176, 186, 188, 230, 234, 264, 276, 290, 300, 306, 360]
valids=11
code=50491

Добавила эти приближения в спектр, который составляю вручную.
Все приближения различны и коды у них уникальные.
Понятно, спектр только начинается. а в нём более полумиллиона элементов.

У меня работает одна "бесконечная" программа поиска этой 21-ки.
Вот там будет побольше приближений для спектра; в этой программе выводятся приближения со всякими valids.

Репост
https://boinc.progger.info/odlk/forum_thread.php?id=308&postid=15823

Сегодня уникальных кодов для спектра приближений к ключевой 17-ке не найдено.

Одно приближение к ключевой 17-ке продолжилось до приближения к 21-ке с диаметром 360.
Вот полученное приближение

502932580299693843236861533: [0, 4, 64, 70, 84, 88, 130, 148, 166, 178, 184, 186, 198, 220, 228, 268, 280, 298, 304, 310, 360]
502932580299693843236861533: [0, -50, 4, 4, 0, -8, 4, 4, 16, 4, 4, 0, -12, 4, -6, 4, 4, 4, 4, 4, 0]
502932580299693843236861533: [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=4
code=33024

valids низкий, но код уникальный, такого у меня в спектре ещё не было.
Добавила приближение в спектр.

Показываю фрагмент спектра

. . . . . . . . . 
15716708836934664465320287: [0, 12, 16, 42, 52, 96, 126, 132, 154, 174, 180, 184, 210, 216, 234, 286, 294, 310, 312, 354, 360]
valids=9
code=26336

15716708732055412881464993: [0, 14, 26, 80, 86, 96, 126, 158, 164, 174, 180, 186, 210, 234, 236, 248, 276, 294, 300, 320, 360]
valids=11
code=26510

9425542962691013856936397: [0, 4, 12, 42, 64, 96, 126, 144, 150, 154, 174, 180, 190, 196, 210, 220, 262, 286, 316, 346, 360]
valids=6
code=30720

15716656295548293594244763: [0, 60, 66, 74, 86, 96, 126, 144, 150, 156, 158, 186, 210, 234, 236, 266, 278, 290, 300, 320, 360]
valids=9
code=31106

9425346718192106007155723: [0, 14, 44, 60, 74, 96, 126, 144, 150, 158, 180, 186, 210, 230, 234, 240, 258, 284, 318, 320, 360]
valids=10
code=31648

9425346573417569555184037: [0, 60, 66, 82, 84, 102, 132, 136, 144, 150, 174, 202, 220, 232, 264, 276, 286, 294, 334, 346, 360]
valids=4
code=32772

9425346517641527924595457: [0, 60, 66, 70, 84, 102, 106, 132, 144, 150, 192, 196, 216, 232, 250, 274, 276, 286, 316, 340, 360]
valids=4
code=32776

9425346569072765477764777: [0, 4, 42, 64, 84, 106, 124, 126, 130, 154, 202, 210, 232, 250, 256, 264, 304, 316, 334, 340, 360]
valids=4
code=32784

9425346577716026656807267: [0, 22, 34, 64, 84, 90, 96, 112, 124, 162, 190, 196, 216, 222, 262, 264, 276, 286, 306, 354, 360]
valids=5
code=32792

9425346555252550185523027: [0, 42, 66, 82, 84, 102, 106, 124, 136, 144, 150, 160, 174, 214, 234, 270, 292, 312, 316, 346, 360]
valids=4
code=32800

9425346610128444958110307: [0, 4, 52, 64, 84, 90, 96, 126, 132, 154, 186, 196, 210, 250, 276, 286, 334, 340, 346, 354, 360]
valids=4
code=32896

502932580299693843236861533: [0, 4, 64, 70, 84, 88, 130, 148, 166, 178, 184, 186, 198, 220, 228, 268, 280, 298, 304, 310, 360]
502932580299693843236861533: [0, -50, 4, 4, 0, -8, 4, 4, 16, 4, 4, 0, -12, 4, -6, 4, 4, 4, 4, 4, 0]
502932580299693843236861533: [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=4
code=33024
. . . . . . . . 

Понятно, что у меня здесь сортируется по значению кодов.

Это часть спектра приближений к 21-ке с диаметром 360, которую я составляю вручную.
Надо посмотреть, что у меня "бесконечная" программа насчитала.

Сняла результаты с Ахиллеса-3, приближения к 21-ке с диаметром 360 с valids>8

15716643595358416532935987: [0, 34, 54, 70, 76, 96, 102, 144, 150, 174, 180, 184, 186, 216, 220, 264, 282, 310, 312, 346, 360]
valids=9
code=24144

15716643604257953400843127: [0, 34, 60, 72, 76, 96, 102, 130, 132, 142, 180, 196, 210, 214, 234, 264, 276, 300, 306, 340, 360]
valids=9
code=148152

15716669746265230297059833: [0, 38, 54, 60, 108, 116, 126, 144, 170, 174, 180, 186, 210, 224, 234, 236, 276, 284, 324, 326, 360]
valids=10
code=14248

15716682834989765839424527: [0, 4, 42, 66, 76, 82, 126, 144, 150, 174, 180, 186, 190, 234, 244, 264, 276, 294, 342, 354, 360]
valids=12
code=81692

15716682838762024099790683: [0, 46, 54, 60, 66, 96, 126, 144, 154, 180, 186, 198, 210, 216, 234, 264, 286, 294, 306, 318, 360]
valids=10
code=28916

15716682851527220855500367: [0, 24, 60, 66, 90, 92, 96, 122, 164, 174, 180, 210, 234, 236, 242, 266, 276, 294, 300, 330, 360]
valids=9
code=198158

15716682859476097469786297: [0, 44, 60, 66, 74, 96, 104, 110, 140, 144, 170, 186, 210, 216, 252, 264, 270, 314, 320, 342, 360]
valids=9
code=213456

15716682838310529677752463: [0, 56, 60, 66, 68, 96, 140, 144, 146, 150, 180, 206, 210, 218, 236, 264, 266, 294, 300, 308, 360]
valids=11
code=217750

15716722074882990216635347: [0, 6, 22, 66, 82, 124, 126, 136, 150, 174, 180, 190, 210, 216, 234, 262, 306, 322, 330, 342, 360]
valids=10
code=77536

15716722071341798318667883: [0, 10, 30, 34, 40, 60, 118, 124, 150, 174, 180, 186, 196, 216, 234, 264, 268, 276, 306, 334, 360]
valids=9
code=3952

15716722116293278866697393: [0, 6, 60, 66, 88, 94, 114, 124, 136, 150, 180, 186, 210, 228, 258, 268, 280, 294, 300, 348, 360]
valids=9
code=197510

Все эти приближения добавила в спектр, который составляю вручную.

Это результаты поиска 21-ки с Ахиллеса сейчас сняла

15716748359096922205818517: [0, 54, 60, 66, 82, 84, 106, 126, 144, 174, 180, 186, 190, 216, 250, 264, 280, 294, 300, 322, 360]
valids=12
code=460630

15716787580906818704594063: [0, 6, 14, 20, 84, 96, 110, 140, 150, 164, 180, 186, 188, 218, 234, 270, 276, 294, 318, 356, 360]
valids=10
code=52012

15716800666360208508933167: [0, 20, 56, 66, 84, 96, 126, 144, 150, 170, 174, 180, 186, 212, 224, 282, 284, 290, 300, 306, 360]
valids=10
code=129027

Приближения добавлены в спектр, составляемый вручную.

Сняла результаты с Ахиллеса-3

15716643657408850361625733: [0, 18, 48, 60, 108, 120, 126, 144, 150, 174, 180, 208, 210, 216, 238, 264, 276, 328, 334, 348, 360]
valids=11
code=16088

15716643653137484482234423: [0, 6, 34, 40, 94, 96, 108, 126, 150, 168, 180, 196, 210, 214, 234, 274, 276, 294, 306, 330, 360]
valids=9
code=19116

15716643643869697308445693: [0, 18, 24, 60, 88, 96, 100, 144, 166, 174, 186, 208, 210, 238, 244, 258, 276, 294, 300, 340, 360]
valids=9
code=21646

15716643701225459849862773: [0, 6, 54, 60, 78, 96, 126, 150, 164, 174, 180, 186, 210, 228, 264, 278, 290, 294, 306, 326, 360]
valids=9
code=26500

15716656783174800394725943: [0, 54, 76, 84, 108, 118, 126, 130, 136, 174, 180, 208, 210, 228, 234, 264, 274, 280, 298, 354, 360]
valids=9
code=272048

15716656747024498606556983: [0, 4, 6, 54, 84, 88, 130, 144, 150, 174, 196, 208, 210, 216, 234, 258, 300, 306, 316, 340, 360]
valids=9
code=40160

15716656748419751104580627: [0, 20, 56, 60, 96, 122, 126, 144, 164, 174, 180, 186, 192, 216, 222, 254, 264, 284, 300, 354, 360]
valids=9
code=14146

15716682944943051429031547: [0, 12, 32, 66, 84, 86, 126, 150, 152, 170, 180, 186, 212, 216, 222, 234, 242, 266, 300, 326, 360]
valids=9
code=107330

15716682895419322926524897: [0, 20, 62, 66, 84, 96, 126, 140, 144, 170, 180, 186, 210, 234, 264, 284, 290, 296, 300, 356, 360]
valids=10
code=123778

15716682918711698871999533: [0, 14, 20, 66, 84, 96, 108, 128, 150, 158, 188, 198, 210, 216, 248, 254, 264, 290, 300, 348, 360]
valids=9
code=116930

15716709053258479420638643: [0, 34, 48, 78, 84, 96, 118, 124, 150, 168, 180, 208, 210, 238, 246, 264, 276, 316, 330, 340, 360]
valids=9
code=51864

15716722142135542192276093: [0, 30, 54, 66, 84, 108, 126, 138, 150, 160, 174, 186, 196, 234, 240, 268, 286, 294, 300, 348, 360]
valids=9
code=108806

15716735250623698528771693: [0, 54, 60, 76, 90, 96, 126, 150, 168, 174, 178, 190, 210, 228, 234, 238, 256, 298, 306, 340, 360]
valids=9
code=418976

15716735234459414450494813: [0, 28, 48, 64, 76, 78, 106, 108, 154, 174, 180, 186, 210, 220, 234, 264, 286, 294, 334, 346, 360]
valids=9
code=1972

Сейчас добавлю эти приближения в спектр, составляемый вручную.

Посмотрите на приближения к 21-ке с диметром 360 подробнее

15716643657408850361625733: [0, 18, 48, 60, 108, 120, 126, 144, 150, 174, 180, 208, 210, 216, 238, 264, 276, 328, 334, 348, 360]
15716643657408850361625733: [0, -36, -12, -6, 24, 24, 0, 0, 0, 0, 0, 22, 0, 0, 4, 0, 0, 34, 34, 42, 0]
15716643657408850361625733: [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1]
valids=11
code=16088

15716643653137484482234423: [0, 6, 34, 40, 94, 96, 108, 126, 150, 168, 180, 196, 210, 214, 234, 274, 276, 294, 306, 330, 360]
15716643653137484482234423: [0, -48, -26, -26, 10, 0, -18, -18, 0, -6, 0, 10, 0, -2, 0, 10, 0, 0, 6, 24, 0]
15716643653137484482234423: [1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1]
valids=9
code=19116

15716643643869697308445693: [0, 18, 24, 60, 88, 96, 100, 144, 166, 174, 186, 208, 210, 238, 244, 258, 276, 294, 300, 340, 360]
15716643643869697308445693: [0, -36, -36, -6, 4, 0, -26, 0, 16, 0, 6, 22, 0, 22, 10, -6, 0, 0, 0, 34, 0]
15716643643869697308445693: [1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1]
valids=9
code=21646

15716643701225459849862773: [0, 6, 54, 60, 78, 96, 126, 150, 164, 174, 180, 186, 210, 228, 264, 278, 290, 294, 306, 326, 360]
15716643701225459849862773: [0, -48, -6, -6, -6, 0, 0, 6, 14, 0, 0, 0, 0, 12, 30, 14, 14, 0, 6, 20, 0]
15716643701225459849862773: [1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1]
valids=9
code=26500

15716656783174800394725943: [0, 54, 76, 84, 108, 118, 126, 130, 136, 174, 180, 208, 210, 228, 234, 264, 274, 280, 298, 354, 360]
15716656783174800394725943: [0, 0, 16, 18, 24, 22, 0, -14, -14, 0, 0, 22, 0, 12, 0, 0, -2, -14, -2, 48, 0]
15716656783174800394725943: [1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1]
valids=9
code=272048

15716656747024498606556983: [0, 4, 6, 54, 84, 88, 130, 144, 150, 174, 196, 208, 210, 216, 234, 258, 300, 306, 316, 340, 360]
15716656747024498606556983: [0, -50, -54, -12, 0, -8, 4, 0, 0, 0, 16, 22, 0, 0, 0, -6, 24, 12, 16, 34, 0]
15716656747024498606556983: [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1]
valids=9
code=40160

15716656748419751104580627: [0, 20, 56, 60, 96, 122, 126, 144, 164, 174, 180, 186, 192, 216, 222, 254, 264, 284, 300, 354, 360]
15716656748419751104580627: [0, -34, -4, -6, 12, 26, 0, 0, 14, 0, 0, 0, -18, 0, -12, -10, -12, -10, 0, 48, 0]
15716656748419751104580627: [1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1]
valids=9
code=14146

15716682944943051429031547: [0, 12, 32, 66, 84, 86, 126, 150, 152, 170, 180, 186, 212, 216, 222, 234, 242, 266, 300, 326, 360]
15716682944943051429031547: [0, -42, -28, 0, 0, -10, 0, 6, 2, -4, 0, 0, 2, 0, -12, -30, -34, -28, 0, 20, 0]
15716682944943051429031547: [1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1]
valids=9
code=107330

15716682895419322926524897: [0, 20, 62, 66, 84, 96, 126, 140, 144, 170, 180, 186, 210, 234, 264, 284, 290, 296, 300, 356, 360]
15716682895419322926524897: [0, -34, 2, 0, 0, 0, 0, -4, -6, -4, 0, 0, 0, 18, 30, 20, 14, 2, 0, 50, 0]
15716682895419322926524897: [1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1]
valids=10
code=123778

15716682918711698871999533: [0, 14, 20, 66, 84, 96, 108, 128, 150, 158, 188, 198, 210, 216, 248, 254, 264, 290, 300, 348, 360]
15716682918711698871999533: [0, -40, -40, 0, 0, 0, -18, -16, 0, -16, 8, 12, 0, 0, 14, -10, -12, -4, 0, 42, 0]
15716682918711698871999533: [1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1]
valids=9
code=116930

15716709053258479420638643: [0, 34, 48, 78, 84, 96, 118, 124, 150, 168, 180, 208, 210, 238, 246, 264, 276, 316, 330, 340, 360]
15716709053258479420638643: [0, -20, -12, 12, 0, 0, -8, -20, 0, -6, 0, 22, 0, 22, 12, 0, 0, 22, 30, 34, 0]
15716709053258479420638643: [1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1]
valids=9
code=51864

15716722142135542192276093: [0, 30, 54, 66, 84, 108, 126, 138, 150, 160, 174, 186, 196, 234, 240, 268, 286, 294, 300, 348, 360]
15716722142135542192276093: [0, -24, -6, 0, 0, 12, 0, -6, 0, -14, -6, 0, -14, 18, 6, 4, 10, 0, 0, 42, 0]
15716722142135542192276093: [1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1]
valids=9
code=108806

15716735250623698528771693: [0, 54, 60, 76, 90, 96, 126, 150, 168, 174, 178, 190, 210, 228, 234, 238, 256, 298, 306, 340, 360]
15716735250623698528771693: [0, 0, 0, 10, 6, 0, 0, 6, 18, 0, -2, 4, 0, 12, 0, -26, -20, 4, 6, 34, 0]
15716735250623698528771693: [1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1]
valids=9
code=418976

15716735234459414450494813: [0, 28, 48, 64, 76, 78, 106, 108, 154, 174, 180, 186, 210, 220, 234, 264, 286, 294, 334, 346, 360]
15716735234459414450494813: [0, -26, -12, -2, -8, -18, -20, -36, 4, 0, 0, 0, 0, 4, 0, 0, 10, 0, 34, 40, 0]
15716735234459414450494813: [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1]
valids=9
code=1972

То же самое с центральными кортежами; центральные троечки изредка попадаются, например в этом приближении

15716735234459414450494813: [0, 28, 48, 64, 76, 78, 106, 108, 154, 174, 180, 186, 210, 220, 234, 264, 286, 294, 334, 346, 360]
15716735234459414450494813: [0, -26, -12, -2, -8, -18, -20, -36, 4, 0, 0, 0, 0, 4, 0, 0, 10, 0, 34, 40, 0]
15716735234459414450494813: [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1]
valids=9
code=1972

Центральной пятёрки не вижу ни одной, не говоря уже о более длинных центральных кортежах.

"Бесконечная" программа поиска 21-ки с диаметром 360 в нулевом периоде на периоде 71# оже прервана на Ахиллесе-3.

Посмотрела файл результатов.
Найдено 5706 приближений к 21-ке с самыми разными valids, начиная с наименьшего.
Максимальный valids=13.
Только одно приближение с таким valids найдено, вот оно

117604170549935533101712387: [0, 10, 40, 66, 84, 96, 132, 144, 150, 174, 180, 196, 210, 216, 256, 276, 286, 294, 300, 354, 360]
valids=13
code=122566
number form=79173174267

Извлекала из файла все коды и отсортировала их, уникальных кодов найдено 1251.
Покажу их все

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 16, 17, 20, 21, 22, 24, 26, 28, 30, 31, 32, 33, 34, 36, 37, 39, 40, 41, 42, 43, 44, 46, 48, 52, 56, 60, 64, 65, 66, 67, 68, 70, 71, 72, 73, 77, 78, 80, 88, 92, 95, 96, 97, 98, 100, 104, 116, 128, 129, 130, 132, 134, 136, 137, 140, 141, 142, 144, 148, 152, 154, 160, 166, 168, 174, 176, 184, 188, 192, 193, 196, 200, 208, 216, 224, 226, 227, 230, 232, 256, 257, 258, 259, 260, 262, 263, 264, 268, 270, 272, 287, 288, 290, 296, 304, 316, 320, 322, 328, 344, 352, 356, 364, 368, 384, 390, 400, 408, 448, 480, 512, 514, 516, 520, 526, 528, 529, 536, 538, 542, 544, 546, 548, 552, 576, 580, 584, 600, 608, 640, 644, 648, 656, 672, 704, 708, 711, 736, 768, 770, 772, 774, 776, 780, 784, 792, 800, 804, 832, 896, 900, 908, 918, 928, 936, 948, 960, 968, 992, 1024, 1026, 1028, 1029, 1032, 1036, 1040, 1048, 1053, 1056, 1058, 1060, 1064, 1088, 1090, 1092, 1104, 1112, 1120, 1128, 1152, 1164, 1168, 1176, 1184, 1216, 1248, 1252, 1536, 1539, 1540, 1544, 1548, 1550, 1552, 1556, 1564, 1568, 1616, 1632, 1636, 1664, 1672, 1700, 1728, 1760, 1766, 1792, 1796, 1799, 1800, 1804, 1808, 1824, 1856, 1896, 1920, 2048, 2049, 2050, 2052, 2054, 2056, 2060, 2064, 2072, 2076, 2078, 2080, 2084, 2112, 2118, 2128, 2144, 2176, 2180, 2208, 2220, 2240, 2256, 2264, 2272, 2304, 2305, 2307, 2308, 2314, 2368, 2377, 2404, 2464, 2560, 2624, 2688, 2816, 2848, 2856, 2880, 2944, 3072, 3088, 3104, 3136, 3140, 3152, 3200, 3230, 3288, 3584, 3592, 3656, 3712, 3724, 3747, 3840, 3856, 3936, 4000, 4096, 4097, 4099, 4100, 4102, 4104, 4112, 4120, 4126, 4128, 4136, 4152, 4160, 4176, 4192, 4224, 4288, 4296, 4352, 4608, 4612, 5120, 5152, 5248, 5632, 5640, 5648, 5656, 5664, 5728, 5888, 5896, 6144, 6146, 6147, 6150, 6152, 6158, 6160, 6168, 6172, 6174, 6176, 6180, 6208, 6224, 6240, 6272, 6273, 6274, 6278, 6280, 6284, 6352, 6368, 6376, 6400, 6404, 6656, 6658, 6664, 6668, 6784, 6798, 6912, 7168, 7216, 7228, 7312, 7332, 7364, 7680, 7744, 7752, 7848, 7936, 7937, 7952, 7960, 8064, 8192, 8193, 8194, 8195, 8196, 8198, 8200, 8204, 8208, 8216, 8220, 8224, 8228, 8236, 8240, 8248, 8256, 8264, 8268, 8272, 8280, 8288, 8320, 8324, 8328, 8344, 8352, 8360, 8384, 8400, 8416, 8448, 8450, 8451, 8452, 8463, 8464, 8480, 8528, 8544, 8576, 8704, 8705, 8710, 8712, 8728, 8768, 8832, 8864, 8960, 8962, 9216, 9217, 9218, 9224, 9228, 9232, 9249, 9280, 9344, 9348, 9728, 9856, 9984, 10016, 10240, 10241, 10242, 10244, 10248, 10256, 10264, 10280, 10304, 10368, 10432, 10752, 11264, 11328, 11456, 11904, 12032, 12034, 12070, 12288, 12296, 12304, 12312, 12320, 12416, 12484, 13328, 13408, 13892, 14336, 14340, 14350, 14364, 14592, 14848, 14882, 15360, 15397, 15400, 15488, 16384, 16385, 16386, 16387, 16388, 16390, 16392, 16396, 16400, 16408, 16414, 16416, 16418, 16420, 16432, 16448, 16452, 16453, 16456, 16472, 16488, 16512, 16516, 16528, 16544, 16545, 16552, 16576, 16584, 16608, 16640, 16642, 16644, 16652, 16656, 16672, 16704, 16720, 16736, 16768, 16800, 16864, 16896, 16897, 16900, 16912, 16928, 16964, 16992, 17032, 17040, 17088, 17152, 17156, 17280, 17408, 17412, 17416, 17440, 17504, 17560, 17574, 18050, 18176, 18192, 18200, 18211, 18432, 18433, 18436, 18476, 18496, 18544, 18560, 18976, 18984, 19456, 19468, 19584, 19632, 20480, 20482, 20496, 20644, 22274, 22528, 22544, 22656, 22784, 24576, 24580, 24600, 24607, 24608, 24610, 24641, 25088, 25344, 25600, 26624, 28672, 28678, 32768, 32769, 32770, 32772, 32774, 32776, 32784, 32792, 32796, 32800, 32808, 32812, 32832, 32834, 32836, 32840, 32844, 32848, 32860, 32864, 32896, 32908, 32912, 32928, 32960, 32968, 32988, 32992, 33024, 33026, 33028, 33040, 33056, 33089, 33091, 33152, 33216, 33280, 33552, 33792, 33804, 33920, 34304, 34320, 34344, 34432, 34560, 34566, 34576, 34592, 34688, 34816, 34820, 34828, 34832, 34848, 34880, 34888, 34904, 34918, 34944, 35328, 35840, 36352, 36864, 36896, 36904, 36928, 36960, 36992, 37056, 37888, 38656, 38912, 38936, 39000, 39040, 39424, 39425, 39552, 39936, 40000, 40448, 40704, 40960, 40965, 40976, 40984, 40993, 41008, 41024, 41029, 41088, 41104, 41160, 41184, 41984, 42756, 43008, 43012, 43024, 43136, 44032, 45188, 47104, 47248, 48128, 49024, 49152, 49153, 49156, 49158, 49160, 49164, 49168, 49176, 49180, 49184, 49208, 49216, 49224, 49232, 49280, 49284, 49296, 49344, 49352, 49408, 49411, 49414, 49440, 49472, 49510, 49540, 49664, 49696, 49698, 49824, 49888, 49952, 49984, 50016, 50176, 50180, 50256, 50304, 50688, 50880, 50944, 51200, 51264, 51456, 51712, 51968, 52232, 53248, 53260, 53488, 56384, 57344, 57448, 57552, 57856, 58182, 58368, 59392, 61440, 65536, 65538, 65539, 65540, 65544, 65545, 65548, 65552, 65558, 65560, 65564, 65565, 65568, 65570, 65584, 65592, 65600, 65608, 65614, 65624, 65640, 65656, 65664, 65665, 65670, 65672, 65680, 65688, 65696, 65728, 65732, 65736, 65763, 65792, 65793, 65794, 65796, 65798, 65800, 65804, 65808, 65816, 65856, 65920, 66048, 66080, 66096, 66120, 66176, 66304, 66338, 66401, 66560, 66688, 66696, 67072, 67080, 67086, 67088, 67136, 67200, 67203, 67360, 67457, 67520, 67584, 67616, 67632, 67840, 67936, 68352, 69152, 69184, 69248, 69632, 69633, 69648, 69656, 69696, 69760, 69792, 69888, 70176, 70656, 70784, 71184, 71264, 71356, 71680, 71696, 71724, 72192, 72704, 73248, 73728, 73736, 73743, 73748, 73760, 73792, 73816, 73856, 73872, 73984, 74240, 74496, 74624, 74752, 75392, 75776, 75808, 76560, 76800, 77824, 77952, 77966, 78336, 78848, 79873, 80896, 81700, 81920, 81921, 81926, 81928, 81936, 81952, 81956, 81958, 81968, 81984, 82432, 82464, 82560, 82696, 82944, 83078, 83456, 83584, 83724, 83968, 84128, 84736, 86040, 86048, 88256, 88576, 90112, 90176, 92224, 98304, 98306, 98308, 98320, 98328, 98336, 98344, 98368, 98400, 98432, 98496, 98560, 99328, 99336, 99408, 100352, 100480, 100864, 101376, 102400, 102430, 104452, 105472, 106000, 106496, 106508, 106512, 106560, 108288, 114688, 114690, 114694, 114704, 114716, 114720, 114724, 114736, 114752, 114976, 115200, 115280, 115488, 115620, 115712, 115937, 116736, 117576, 118784, 118912, 120832, 121856, 122566, 122880, 131072, 131079, 131080, 131084, 131088, 131096, 131102, 131106, 131112, 131136, 131152, 131200, 131208, 131224, 131232, 131244, 131264, 131328, 131340, 131392, 131396, 131504, 131584, 131840, 131968, 132096, 132104, 132112, 132160, 132224, 132256, 132288, 132608, 132632, 132768, 132864, 133120, 133136, 133632, 134160, 135168, 135172, 135200, 135212, 135296, 135304, 135808, 136192, 136384, 136832, 137216, 137360, 137408, 137472, 137760, 138116, 138272, 139264, 139268, 139272, 139280, 139296, 139360, 139392, 139400, 139780, 140288, 140800, 141056, 141312, 143360, 144896, 144912, 147456, 147712, 163840, 163844, 163846, 163856, 163872, 163880, 163904, 163968, 164032, 164096, 164864, 165636, 165888, 165912, 166416, 167976, 172032, 180224, 180226, 180232, 180236, 180240, 180248, 180256, 180264, 180288, 180400, 180744, 181008, 181252, 189986, 196608, 196610, 196612, 196614, 196616, 196618, 196620, 196624, 196632, 196640, 196644, 196648, 196672, 196680, 196688, 196736, 196760, 196771, 196800, 196806, 196864, 197120, 197152, 197248, 197376, 197632, 197696, 197720, 198148, 198400, 198416, 198656, 198712, 198720, 200704, 200720, 200768, 200832, 200896, 202764, 204800, 204832, 204928, 204940, 204992, 205824, 206336, 206352, 206848, 209006, 212992, 213000, 213004, 213006, 213008, 213056, 213065, 213120, 214016, 214028, 214032, 215040, 215048, 216832, 217088, 229376, 229380, 229632, 230400, 231424, 231684, 232960, 233500, 235264, 237568, 243712, 245760, 245824, 247328, 253952, 262144, 262146, 262152, 262158, 262172, 262176, 262180, 262208, 262232, 262240, 262272, 262276, 262296, 262400, 262656, 262680, 262784, 263168, 263170, 263192, 263232, 263296, 263680, 263936, 264096, 264192, 264208, 264704, 266240, 266252, 268288, 268289, 269056, 269312, 269376, 270336, 270337, 270376, 270464, 270596, 270848, 274448, 278528, 278856, 294912, 294928, 294936, 294976, 295000, 301568, 311360, 312384, 393216, 393228, 393232, 393240, 393248, 393260, 393344, 393472, 393480, 393728, 393824, 393988, 395008, 395264, 397312, 398338, 399360, 400128, 401408, 401472, 401664, 406528, 409600, 425984, 426000, 426008, 426245, 426496, 428096, 432128, 440320, 442368, 443008, 445440, 458752, 458756, 458768, 458776, 458784, 458817, 458880, 458918, 459008, 459136, 459264, 459792, 459840, 459872, 460800, 461824, 462920, 465120, 466992, 467036, 471040, 475136, 475138, 479232, 491520, 491808, 492032, 492100, 493068, 499712, 501824, 507904

Пропустила найденные приближения через утилиту при условии valids>8.

Вот результаты

5706
483612815109944189185820617: [0, 4, 24, 66, 84, 96, 106, 132, 136, 174, 186, 190, 210, 216, 234, 244, 256, 276, 304, 306, 360]
483612815109944189185820617: [0, -50, -36, 0, 0, 0, -20, -12, -14, 0, 6, 4, 0, 0, 0, -20, -20, -18, 4, 0, 0]
483612815109944189185820617: [1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1]
valids=10
code=115937

406165017445647836981729437: [0, 4, 10, 54, 76, 120, 124, 144, 150, 154, 180, 196, 210, 234, 244, 250, 276, 294, 300, 316, 360]
406165017445647836981729437: [0, -50, -50, -12, -8, 24, -2, 0, 0, -20, 0, 10, 0, 18, 10, -14, 0, 0, 0, 10, 0]
406165017445647836981729437: [1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1]
valids=9
code=6798

96994686146509733923635607: [0, 4, 10, 34, 54, 96, 130, 154, 162, 174, 180, 186, 196, 202, 234, 250, 262, 264, 300, 306, 360]
96994686146509733923635607: [0, -50, -50, -32, -30, 0, 4, 10, 12, 0, 0, 0, -14, -14, 0, -14, -14, -30, 0, 0, 0]
96994686146509733923635607: [1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1]
valids=9
code=18211

511824666560348606337296737: [0, 34, 46, 54, 66, 112, 126, 136, 150, 174, 180, 186, 192, 214, 234, 256, 264, 294, 300, 330, 360]
511824666560348606337296737: [0, -20, -14, -12, -18, 16, 0, -8, 0, 0, 0, 0, -18, -2, 0, -8, -12, 0, 0, 24, 0]
511824666560348606337296737: [1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1]
valids=10
code=12070

492490997122448424854027587: [0, 10, 60, 66, 84, 120, 130, 144, 162, 174, 180, 186, 196, 202, 216, 256, 262, 300, 304, 354, 360]
492490997122448424854027587: [0, -44, 0, 0, 0, 24, 4, 0, 12, 0, 0, 0, -14, -14, -18, -8, -14, 6, 4, 48, 0]
492490997122448424854027587: [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=9
code=235264

258837492659617183201163587: [0, 4, 60, 66, 96, 102, 126, 144, 186, 190, 192, 196, 214, 216, 234, 256, 276, 294, 300, 334, 360]
258837492659617183201163587: [0, -50, 0, 0, 12, 6, 0, 0, 36, 16, 12, 10, 4, 0, 0, -8, 0, 0, 0, 28, 0]
258837492659617183201163587: [1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1]
valids=11
code=209006

150984250011574038069254557: [0, 10, 54, 66, 76, 82, 112, 144, 162, 174, 180, 190, 210, 214, 234, 264, 276, 294, 312, 340, 360]
150984250011574038069254557: [0, -44, -6, 0, -8, -14, -14, 0, 12, 0, 0, 4, 0, -2, 0, 0, 0, 0, 12, 34, 0]
150984250011574038069254557: [1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1]
valids=11
code=71356

76364506814546160089393827: [0, 46, 54, 84, 106, 112, 126, 144, 150, 174, 190, 196, 216, 232, 234, 256, 262, 294, 304, 306, 360]
76364506814546160089393827: [0, -8, -6, 18, 22, 16, 0, 0, 0, 0, 10, 10, 6, 16, 0, -8, -14, 0, 4, 0, 0]
76364506814546160089393827: [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1]
valids=9
code=15397

211073744150553375299022127: [0, 54, 60, 66, 84, 102, 112, 124, 126, 162, 180, 196, 202, 216, 256, 262, 264, 294, 312, 330, 360]
211073744150553375299022127: [0, 0, 0, 0, 0, 6, -14, -20, -24, -12, 0, 10, -8, 0, 22, -2, -12, 0, 12, 24, 0]
211073744150553375299022127: [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1]
valids=9
code=492100

72153263840184622319228317: [0, 60, 66, 82, 96, 106, 124, 132, 150, 174, 180, 192, 210, 232, 234, 244, 250, 276, 300, 306, 360]
72153263840184622319228317: [0, 6, 6, 16, 12, 10, -2, -12, 0, 0, 0, 6, 0, 16, 0, -20, -26, -18, 0, 0, 0]
72153263840184622319228317: [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1]
valids=9
code=3747

343695680581579619732613487: [0, 10, 46, 54, 66, 96, 126, 130, 136, 154, 162, 174, 192, 256, 262, 264, 276, 294, 300, 306, 360]
343695680581579619732613487: [0, -44, -14, -12, -18, 0, 0, -14, -14, -20, -18, -12, -18, 40, 28, 0, 0, 0, 0, 0, 0]
343695680581579619732613487: [1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1]
valids=9
code=24607

69811058038581068013148657: [0, 24, 60, 66, 84, 96, 102, 154, 162, 174, 180, 190, 196, 210, 234, 276, 294, 300, 316, 354, 360]
69811058038581068013148657: [0, -30, 0, 0, 0, 0, -24, 10, 12, 0, 0, 4, -14, -6, 0, 12, 18, 6, 16, 48, 0]
69811058038581068013148657: [1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1]
valids=9
code=247328

61202157002612797383286387: [0, 4, 24, 54, 84, 96, 126, 130, 132, 150, 180, 186, 192, 216, 222, 262, 264, 294, 300, 304, 360]
61202157002612797383286387: [0, -50, -36, -12, 0, 0, 0, -14, -18, -24, 0, 0, -18, 0, -12, -2, -12, 0, 0, -2, 0]
61202157002612797383286387: [1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1]
valids=10
code=58182

326821822646584497074767237: [0, 54, 60, 66, 84, 102, 120, 130, 144, 174, 180, 196, 216, 232, 250, 262, 276, 294, 316, 330, 360]
326821822646584497074767237: [0, 0, 0, 0, 0, 6, -6, -14, -6, 0, 0, 10, 6, 16, 16, -2, 0, 0, 16, 24, 0]
326821822646584497074767237: [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1]
valids=10
code=493068

447001052376943806201103957: [0, 54, 60, 66, 76, 106, 126, 132, 154, 162, 174, 180, 186, 216, 256, 264, 276, 294, 316, 354, 360]
447001052376943806201103957: [0, 0, 0, 0, -8, 10, 0, -12, 4, -12, -6, -6, -24, 0, 22, 0, 0, 0, 16, 48, 0]
447001052376943806201103957: [1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1]
valids=10
code=467036

275490173279718210831752047: [0, 24, 54, 66, 84, 96, 120, 130, 150, 162, 180, 186, 196, 216, 232, 250, 276, 304, 306, 316, 360]
275490173279718210831752047: [0, -30, -6, 0, 0, 0, -6, -14, 0, -12, 0, 0, -14, 0, -2, -14, 0, 10, 6, 10, 0]
275490173279718210831752047: [1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1]
valids=10
code=117576

477566680106133828576120067: [0, 24, 34, 46, 112, 120, 136, 144, 150, 174, 192, 210, 214, 232, 234, 264, 276, 294, 322, 330, 360]
477566680106133828576120067: [0, -30, -26, -20, 28, 24, 10, 0, 0, 0, 12, 24, 4, 16, 0, 0, 0, 0, 22, 24, 0]
477566680106133828576120067: [1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1]
valids=9
code=7228

80138710319035498314999127: [0, 54, 60, 66, 84, 124, 126, 130, 150, 154, 174, 180, 190, 216, 250, 256, 300, 316, 322, 354, 360]
80138710319035498314999127: [0, 0, 0, 0, 0, 28, 0, -14, 0, -20, -6, -6, -20, 0, 16, -8, 24, 22, 22, 48, 0]
80138710319035498314999127: [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]
valids=9
code=501824

468698597584375794842210317: [0, 4, 76, 82, 84, 96, 112, 144, 154, 180, 190, 202, 210, 216, 234, 264, 306, 312, 316, 340, 360]
468698597584375794842210317: [0, -50, 16, 16, 0, 0, -14, 0, 4, 6, 10, 16, 0, 0, 0, 0, 30, 18, 16, 34, 0]
468698597584375794842210317: [1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1]
valids=9
code=53488

300764324511201931715969947: [0, 4, 10, 66, 96, 112, 126, 144, 150, 174, 180, 186, 190, 222, 234, 250, 262, 294, 316, 322, 360]
300764324511201931715969947: [0, -50, -50, 0, 12, 16, 0, 0, 0, 0, 0, 0, -20, 6, 0, -14, -14, 0, 16, 16, 0]
300764324511201931715969947: [1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1]
valids=11
code=81700

44952354320938614043067887: [0, 34, 54, 66, 84, 96, 106, 112, 124, 136, 180, 186, 210, 214, 234, 250, 256, 294, 316, 354, 360]
44952354320938614043067887: [0, -20, -6, 0, 0, 0, -20, -32, -26, -38, 0, 0, 0, -2, 0, -14, -20, 0, 16, 48, 0]
44952354320938614043067887: [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1]
valids=10
code=115620

386934467248661422155349597: [0, 4, 60, 102, 106, 124, 132, 144, 150, 154, 180, 186, 210, 214, 232, 244, 264, 294, 334, 354, 360]
386934467248661422155349597: [0, -50, 0, 36, 22, 28, 6, 0, 0, -20, 0, 0, 0, -2, -2, -20, -12, 0, 34, 48, 0]
386934467248661422155349597: [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1]
valids=9
code=138116

471089663779180914299616097: [0, 42, 54, 82, 84, 106, 126, 144, 150, 174, 180, 186, 210, 214, 222, 244, 262, 306, 322, 340, 360]
471089663779180914299616097: [0, -12, -6, 16, 0, 10, 0, 0, 0, 0, 0, 0, 0, -2, -12, -20, -14, 12, 22, 34, 0]
471089663779180914299616097: [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1]
valids=10
code=49024

317307033635931593477307397: [0, 46, 54, 60, 66, 82, 124, 144, 150, 174, 180, 190, 210, 232, 234, 250, 276, 316, 330, 334, 360]
317307033635931593477307397: [0, -8, -6, -6, -18, -14, -2, 0, 0, 0, 0, 4, 0, 16, 0, -14, 0, 22, 30, 28, 0]
317307033635931593477307397: [1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1]
valids=9
code=7848

500920019215994550369601717: [0, 10, 54, 66, 102, 120, 126, 144, 154, 162, 192, 202, 210, 234, 244, 256, 276, 294, 300, 312, 360]
500920019215994550369601717: [0, -44, -6, 0, 18, 24, 0, 0, 4, -12, 12, 16, 0, 18, 10, -8, 0, 0, 0, 6, 0]
500920019215994550369601717: [1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1]
valids=9
code=77966

82964678128770858326781187: [0, 42, 60, 66, 82, 96, 124, 132, 150, 174, 180, 186, 192, 196, 232, 244, 262, 264, 316, 322, 360]
82964678128770858326781187: [0, -12, 0, 0, -2, 0, -2, -12, 0, 0, 0, 0, -18, -20, -2, -20, -14, -30, 16, 16, 0]
82964678128770858326781187: [1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=9
code=216832

192335854704744187159727317: [0, 4, 60, 76, 84, 96, 126, 130, 162, 174, 180, 210, 214, 222, 234, 244, 262, 264, 300, 354, 360]
192335854704744187159727317: [0, -50, 0, 10, 0, 0, 0, -14, 12, 0, 0, 24, 4, 6, 0, -20, -14, -30, 0, 48, 0]
192335854704744187159727317: [1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1]
valids=10
code=189986

117279299875045451459460457: [0, 10, 42, 66, 84, 130, 132, 144, 190, 192, 196, 214, 244, 250, 256, 264, 276, 294, 300, 312, 360]
117279299875045451459460457: [0, -44, -18, 0, 0, 34, 6, 0, 40, 18, 16, 28, 34, 34, 22, 0, 0, 0, 0, 6, 0]
117279299875045451459460457: [1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1]
valids=9
code=102430

182004420962873933559609787: [0, 54, 60, 66, 112, 126, 136, 144, 150, 154, 192, 196, 210, 216, 234, 262, 294, 312, 322, 334, 360]
182004420962873933559609787: [0, 0, 0, 0, 28, 30, 10, 0, 0, -20, 12, 10, 0, 0, 0, -2, 18, 18, 22, 28, 0]
182004420962873933559609787: [1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1]
valids=10
code=465120

201309610543463902728532597: [0, 24, 40, 96, 106, 126, 130, 136, 150, 174, 186, 196, 210, 222, 250, 264, 276, 294, 300, 354, 360]
201309610543463902728532597: [0, -30, -20, 30, 22, 30, 4, -8, 0, 0, 6, 10, 0, 6, 16, 0, 0, 0, 0, 48, 0]
201309610543463902728532597: [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1]
valids=9
code=3230

15387670525841152763888977: [0, 54, 60, 66, 76, 84, 106, 112, 126, 144, 174, 192, 210, 222, 234, 250, 256, 294, 300, 330, 360]
15387670525841152763888977: [0, 0, 0, 0, -8, -12, -20, -32, -24, -30, -6, 6, 0, 6, 0, -14, -20, 0, 0, 24, 0]
15387670525841152763888977: [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1]
valids=9
code=458918

530453994896706733407759517: [0, 4, 54, 106, 130, 136, 144, 150, 154, 174, 180, 190, 210, 216, 234, 262, 286, 294, 300, 322, 360]
530453994896706733407759517: [0, -50, -6, 40, 46, 40, 18, 6, 4, 0, 0, 4, 0, 0, 0, -2, 10, 0, 0, 16, 0]
530453994896706733407759517: [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1]
valids=9
code=1766

432014476239815244793011307: [0, 42, 84, 102, 130, 132, 136, 144, 150, 174, 180, 186, 222, 250, 262, 264, 276, 286, 304, 354, 360]
432014476239815244793011307: [0, -12, 24, 36, 46, 36, 10, 0, 0, 0, 0, 0, 12, 34, 28, 0, 0, -8, 4, 48, 0]
432014476239815244793011307: [1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1]
valids=9
code=7960

198603506088513270065215207: [0, 34, 42, 66, 84, 112, 130, 144, 150, 174, 180, 190, 202, 256, 262, 264, 286, 306, 334, 354, 360]
198603506088513270065215207: [0, -20, -18, 0, 0, 16, 4, 0, 0, 0, 0, 4, -8, 40, 28, 0, 10, 12, 34, 48, 0]
198603506088513270065215207: [1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]
valids=9
code=106000

462429183095077733434363777: [0, 24, 34, 60, 84, 96, 106, 112, 120, 126, 154, 186, 214, 216, 234, 256, 264, 294, 300, 304, 360]
462429183095077733434363777: [0, -30, -26, -6, 0, 0, -20, -32, -30, -48, -26, 0, 4, 0, 0, -8, -12, 0, 0, -2, 0]
462429183095077733434363777: [1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1]
valids=9
code=49510

117604170549935533101712387: [0, 10, 40, 66, 84, 96, 132, 144, 150, 174, 180, 196, 210, 216, 256, 276, 286, 294, 300, 354, 360]
117604170549935533101712387: [0, -44, -20, 0, 0, 0, 6, 0, 0, 0, 0, 10, 0, 0, 22, 12, 10, 0, 0, 48, 0]
117604170549935533101712387: [1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1]
valids=13
code=122566

294965373074855999082471217: [0, 40, 60, 66, 84, 132, 136, 144, 192, 196, 210, 214, 234, 250, 262, 264, 276, 294, 316, 330, 360]
294965373074855999082471217: [0, -14, 0, 0, 0, 36, 10, 0, 42, 22, 30, 28, 24, 34, 28, 0, 0, 0, 16, 24, 0]
294965373074855999082471217: [1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1]
valids=9
code=233500

549373729647697737221973847: [0, 40, 54, 66, 82, 96, 112, 120, 126, 174, 180, 186, 190, 192, 210, 222, 276, 294, 304, 312, 360]
549373729647697737221973847: [0, -14, -6, 0, -2, 0, -14, -24, -24, 0, 0, 0, -20, -24, -24, -42, 0, 0, 4, 6, 0]
549373729647697737221973847: [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1]
valids=9
code=83724

Это вставлю в спектр, который составляю вручную.

Результаты с Ахиллеса

15716774598348251266332107: [0, 6, 12, 20, 84, 92, 110, 122, 126, 162, 180, 186, 210, 216, 234, 264, 272, 294, 312, 314, 360]
valids=10
code=33780

15716774631717061658281553: [0, 18, 54, 66, 84, 96, 114, 144, 158, 170, 180, 186, 198, 216, 228, 230, 276, 294, 296, 318, 360]
valids=11
code=119628

15716787730641614068241117: [0, 12, 26, 42, 66, 72, 84, 164, 170, 174, 180, 186, 230, 234, 236, 264, 276, 294, 300, 306, 360]
valids=10
code=1823

15716787732952223034266477: [0, 44, 60, 66, 72, 80, 96, 102, 132, 144, 180, 186, 212, 216, 234, 264, 276, 290, 324, 350, 360]
valids=10
code=197496

15716800816305695383851887: [0, 54, 60, 66, 84, 92, 134, 146, 150, 174, 180, 186, 192, 234, 264, 276, 306, 320, 330, 344, 360]
valids=10
code=495360

15716800826642374832737523: [0, 14, 60, 66, 68, 74, 78, 80, 150, 164, 180, 186, 200, 216, 234, 264, 278, 294, 326, 356, 360]
valids=11
code=199540

В спектр, составляемый вручную.

Результаты с Ахиллеса

15716748549439626166978813: [0, 46, 60, 66, 76, 96, 126, 144, 166, 174, 178, 180, 208, 228, 234, 238, 276, 280, 306, 340, 360]
valids=10
code=226344

15716800883672765173352383: [0, 30, 48, 58, 84, 94, 118, 144, 168, 174, 180, 186, 208, 210, 234, 264, 268, 294, 304, 324, 360]
valids=10
code=38708

Результаты с Ахиллеса-3

15716656802106896544413987: [0, 32, 54, 74, 104, 110, 126, 140, 150, 164, 180, 186, 210, 224, 234, 264, 284, 306, 320, 342, 360]
valids=9
code=11184

15716682996383327846573713: [0, 10, 84, 88, 96, 108, 118, 144, 150, 178, 184, 196, 210, 216, 244, 256, 276, 294, 300, 348, 360]
valids=9
code=6350

15716683010257555102231937: [0, 30, 56, 74, 84, 122, 126, 140, 146, 150, 180, 186, 210, 212, 234, 264, 276, 284, 296, 306, 360]
valids=11
code=41913

15716682992851346062326383: [0, 26, 48, 74, 78, 84, 110, 116, 150, 174, 180, 188, 210, 228, 234, 258, 276, 294, 314, 318, 360]
valids=9
code=3756

15716696079732962423062567: [0, 4, 6, 34, 60, 70, 132, 160, 162, 174, 190, 204, 210, 216, 232, 264, 276, 280, 300, 306, 360]
valids=9
code=1243

15716709161935877646435043: [0, 24, 60, 66, 84, 96, 106, 118, 150, 174, 178, 180, 216, 220, 234, 264, 286, 306, 318, 354, 360]
valids=10
code=248880

15716709172589282622050053: [0, 6, 60, 66, 78, 96, 130, 144, 150, 174, 190, 208, 210, 214, 234, 258, 264, 274, 304, 328, 360]
valids=10
code=220320

15716709130075263739578763: [0, 48, 60, 66, 76, 78, 126, 144, 150, 174, 190, 204, 220, 228, 234, 250, 274, 300, 316, 334, 360]
valids=9
code=212000

15716709134282622309417887: [0, 14, 20, 36, 84, 96, 122, 132, 140, 144, 150, 186, 216, 224, 234, 264, 266, 294, 300, 344, 360]
valids=9
code=49462

15716709175635397788594503: [0, 48, 54, 74, 84, 104, 126, 144, 150, 176, 180, 186, 210, 230, 258, 294, 306, 314, 344, 356, 360]
valids=9
code=48000

15716709166501794145230563: [0, 26, 74, 80, 84, 96, 110, 144, 150, 156, 164, 186, 200, 210, 234, 264, 266, 284, 300, 308, 360]
valids=10
code=55602

15716735333608120619087047: [0, 4, 10, 22, 54, 84, 130, 144, 150, 162, 180, 192, 210, 250, 256, 264, 276, 292, 300, 312, 360]
valids=9
code=6810

15716735308264602597511553: [0, 26, 44, 68, 84, 96, 98, 126, 144, 150, 180, 206, 224, 228, 234, 264, 284, 294, 300, 318, 360]
valids=9
code=49718

Это в спектр приближений к 21-ке с диаметром 360, который составляю вручную.

Напомню: в этом поиске выводятся приближения с valids>8.

Кстати, "бесконечная" программа поиска 21-ки с диаметром 360 пока остановлена (после последнего вылета Ахиллеса-3).
Надо теперь эту программу разделить на несколько "бесконечных" программ.
Но ресурсов свободных нет для них.

Показываю нижнюю часть спектра приближений к 21-ке с диаметром 360, составляемого вручную,
для code<300

*******************************************************************

СПЕКТР ПРИБЛИЖЕНИЙ К 21-КЕ С ДИАМЕТРОМ 360

*******************************************************************

на 5 марта 2025 г.

8641835999323000955659349: [0, 14, 48, 54, 72, 84, 114, 134, 138, 150, 182, 194, 198, 204, 222, 252, 272, 282, 288, 330, 360]
8641835999323000955659349: [0, -40, -12, -12, -12, -12, -12, -10, -12, -24, 2, 8, -12, -12, -12, -12, -4, -12, -12, 24, 0]
8641835999323000955659349: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=2
code=0
502932579667920998921566669: [0, 112, 114, 130, 150, 172, 180, 198, 204, 228, 234, 240, 264, 292, 304, 324, 330, 348, 354, 358, 360]
502932579667920998921566669: [0, 58, 54, 64, 66, 76, 54, 54, 54, 54, 54, 54, 54, 76, 70, 60, 54, 54, 54, 52, 0]
502932579667920998921566669: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=2
code=0
8015026519517055938990089: [0, 52, 88, 94, 102, 124, 154, 172, 178, 202, 208, 228, 240, 244, 270, 292, 310, 322, 328, 334, 360]
8015026519517055938990089: [0, -2, 28, 28, 18, 28, 28, 28, 28, 28, 28, 42, 30, 28, 36, 28, 34, 28, 28, 28, 0]
8015026519517055938990089: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=2
code=0
7858324827545081581165813: [0, 28, 34, 48, 66, 84, 100, 118, 124, 148, 154, 160, 184, 198, 210, 240, 250, 268, 274, 336, 360]
7858324827545081581165813: [0, -26, -26, -18, -18, -12, -26, -26, -26, -26, -26, -26, -26, -18, -24, -24, -26, -26, -26, 30, 0]
7858324827545081581165813: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=2
code=0
6183904277821600750171: [0, 48, 76, 82, 112, 126, 142, 156, 162, 166, 196, 198, 226, 232, 276, 280, 292, 310, 316, 322, 360]
6183904277821600750171: [0, -6, 16, 16, 28, 30, 16, 12, 12, -8, 16, 12, 16, 16,42, 16, 16, 16, 16, 16, 0]
6183904277821600750171: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=2
code=0
117874824660628608120295889: [0, 18, 78, 84, 92, 114, 144, 170, 182, 192, 198, 204, 228, 242, 278, 282, 284, 312, 318, 344, 360]
117874824660628608120295889: [0, -36, 18, 18, 8, 18, 18, 26, 32, 18, 18, 18, 18, 26, 44, 18, 8, 18, 18, 38, 0]
117874824660628608120295889: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
valids=2
code=0

9425346534887113608451987: [0, 22, 40, 42, 52, 60, 66, 84, 112, 144, 150, 174, 186, 232, 244, 252, 264, 280, 300, 306, 360]
valids=4
code=3
9425346561868823349653917: [0, 10, 54, 60, 82, 84, 96, 102, 124, 126, 136, 150, 174, 186, 244, 252, 264, 276, 300, 306, 360]
valids=4
code=3

282899576854426479355351813: [0, 46, 64, 70, 88, 100, 130, 148, 154, 178, 184, 190, 214, 226, 240, 268, 280, 294, 304, 354, 360]
282899576854426479355351813: [0, -8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 10, 6, 4, 4, 0, 4, 48, 0]
282899576854426479355351813: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1]
valids=3
code=4

9425346568177409856170497: [0, 24, 82, 96, 124, 126, 144, 150, 174, 180, 190, 202, 222, 244, 262, 276, 286, 294, 300, 330, 360]
valids=4
code=6
9425346511720326043015927: [0, 10, 106, 124, 130, 160, 162, 172, 180, 186, 196, 210, 214, 232, 250, 252, 286, 294, 300, 342, 360]
valids=4
code=6
9425346556082763766470037: [0, 4, 10, 34, 54, 76, 84, 96, 102, 114, 126, 130, 132, 192, 210, 262, 286, 294, 300, 312, 360]
valids=4
code=6
9425346579427041398248987: [0, 12, 30, 46, 54, 66, 76, 84, 100, 112, 124, 150, 196, 210, 220, 252, 286, 294, 300, 304, 360]
valids=4
code=6

9425346627666372363570637: [0, 4, 16, 30, 40, 42, 54, 84, 112, 130, 154, 196, 202, 210, 216, 234, 276, 280, 286, 306, 360]
valids=4
code=9
9425346613681591723904647: [0, 16, 24, 46, 52, 76, 142, 150, 154, 186, 210, 216, 220, 234, 250, 256, 276, 282, 294, 306, 360]
valids=4
code=9

9425346556190783429205307: [0, 4, 46, 60, 66, 82, 96, 124, 132, 144, 166, 190, 196, 234, 244, 274, 276, 294, 330, 342, 360]
valids=4
code=12
9425346502592434882537837: [0, 40, 96, 106, 126, 130, 190, 196, 202, 214, 232, 250, 252, 262, 264, 274, 276, 294, 316, 342, 360]
valids=4
code=12
9425346536930858571961537: [0, 12, 40, 64, 82, 106, 124, 150, 154, 180, 186, 190, 202, 204, 214, 220, 276, 294, 312, 330, 360]
valids=4
code=12

9425346532701250238745817: [0, 4, 24, 46, 82, 106, 124, 130, 132, 162, 214, 216, 234, 246, 262, 264, 276, 304, 306, 354, 360]
valids=4
code=24
9425346612805796361026497: [0, 12, 24, 34, 40, 66, 106, 130, 136, 180, 186, 210, 216, 234, 256, 264, 276, 306, 316, 334, 360]
valids=4
code=24
9425346562804461190781647: [0, 22, 40, 54, 70, 82, 84, 96, 126, 130, 132, 136, 166, 180, 202, 264, 276, 322, 330, 340, 360]
valids=4
code=24
9425346594293409783217087: [0, 40, 46, 76, 96, 100, 124, 126, 154, 156, 174, 180, 186, 202, 262, 264, 276, 306, 312, 346, 360]
valids=4
code=24

9425346576611654060215717: [0, 12, 30, 40, 54, 90, 96, 100, 132, 144, 150, 156, 202, 234, 252, 264, 276, 294, 306, 340, 360]
valids=5
code=28

8798537530718229973492453: [0, 6, 34, 40, 54, 70, 94, 100, 124, 148, 154, 160, 178, 226, 234, 238, 250, 268, 274, 310, 360]
8798537530718229973492453: [0, -48, -26, -26, -30, -26, -32, -44, -26, -26, -26, -26, -32, 10, 0, -26, -26, -26, -26, 4, 0]
8798537530718229973492453: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1]
valids=3
code=32

9425346590865879502418617: [0, 10, 24, 30, 46, 70, 76, 100, 102, 126, 150, 180, 184, 214, 234, 250, 280, 294, 304, 342, 360]
valids=4
code=36

9425346594531535574446567: [0, 10, 16, 34, 60, 84, 112, 126, 130, 132, 174, 184, 192, 202, 234, 264, 276, 312, 334, 342, 360]
valids=5
code=56

9425346621101682455654497: [0, 4, 24, 42, 46, 66, 84, 112, 114, 124, 144, 180, 186, 216, 244, 252, 264, 294, 306, 346, 360]
valids=4
code=68

9425346584770710495981847: [0, 22, 34, 40, 54, 60, 66, 82, 132, 144, 174, 192, 214, 216, 250, 264, 292, 294, 300, 334, 360]
valids=6
code=86

9425346554140297111951387: [0, 4, 40, 52, 54, 60, 94, 102, 144, 186, 192, 196, 202, 216, 234, 250, 270, 286, 306, 322, 360]
valids=4
code=96

9425346517387042825736767: [0, 4, 12, 40, 42, 60, 66, 96, 144, 150, 162, 174, 210, 220, 246, 264, 300, 316, 340, 342, 360]
valids=4
code=144

9425346605567082282175957: [0, 34, 42, 52, 96, 102, 124, 136, 142, 180, 196, 202, 210, 214, 234, 280, 286, 304, 312, 346, 360]
valids=4
code=160

9425346567767089424398807: [0, 12, 40, 54, 100, 102, 124, 126, 130, 150, 184, 202, 210, 216, 234, 256, 282, 306, 334, 354, 360]
valids=5
code=224

9425346570957684832843537: [0, 12, 34, 60, 64, 82, 84, 96, 102, 112, 154, 186, 196, 214, 216, 262, 280, 294, 334, 354, 360]
valids=4
code=260

9425346512504106195385687: [0, 4, 22, 34, 46, 54, 76, 106, 126, 130, 172, 186, 196, 234, 244, 264, 276, 294, 306, 340, 360]
valids=6
code=284

9425346562942947969335617: [0, 6, 34, 40, 42, 60, 66, 96, 106, 126, 130, 186, 202, 210, 234, 274, 276, 292, 330, 334, 360]
valids=5
code=296

В спектре присутствуют приближения с одинаковыми кодами.
Повторяемость приближений одинаковой структуры - интересный вопрос.

Результаты с Ахиллеса-3

15716656898772803616298423: [0, 36, 60, 70, 84, 88, 96, 148, 150, 186, 196, 208, 210, 238, 264, 274, 276, 294, 300, 340, 360]
valids=9
code=166030

15716669991183271468802603: [0, 26, 38, 66, 68, 74, 134, 146, 150, 174, 180, 186, 188, 194, 234, 236, 266, 294, 330, 344, 360]
valids=9
code=69412

15716683070168290194944833: [0, 18, 60, 66, 124, 144, 150, 154, 156, 174, 196, 210, 214, 216, 234, 258, 280, 294, 300, 310, 360]
valids=9
code=197734

15716683045585609242959963: [0, 20, 56, 66, 78, 96, 126, 150, 168, 174, 180, 188, 200, 210, 258, 266, 276, 278, 300, 306, 360]
valids=10
code=91659

15716696126741711705599477: [0, 10, 60, 66, 84, 96, 114, 124, 132, 150, 186, 196, 202, 250, 262, 264, 276, 282, 300, 334, 360]
valids=9
code=245786

15716709230812635564040003: [0, 48, 60, 94, 96, 108, 114, 144, 150, 180, 186, 208, 210, 216, 258, 264, 276, 294, 340, 348, 360]
valids=10
code=137436

15716709189102808281489407: [0, 24, 62, 66, 92, 102, 140, 144, 146, 174, 180, 186, 210, 216, 230, 236, 276, 302, 306, 344, 360]
valids=10
code=71624

15716722325016170655521197: [0, 4, 16, 54, 84, 96, 124, 144, 156, 174, 180, 202, 210, 220, 234, 282, 286, 294, 306, 352, 360]
valids=10
code=54948

15716722278077394029206063: [0, 54, 66, 76, 84, 96, 124, 144, 150, 174, 190, 196, 216, 244, 250, 274, 286, 294, 328, 348, 360]
valids=9
code=318468

15716735354963607937218013: [0, 10, 28, 54, 106, 124, 126, 130, 150, 166, 174, 186, 210, 216, 234, 238, 276, 328, 330, 334, 360]
valids=9
code=10728

Среди показанных приближений есть два приближения с центральной тройкой

15716669991183271468802603: [0, 26, 38, 66, 68, 74, 134, 146, 150, 174, 180, 186, 188, 194, 234, 236, 266, 294, 330, 344, 360]
15716669991183271468802603: [0, -28, -22, 0, -16, -22, 8, 2, 0, 0, 0, 0, -22, -22, 0, -28, -10, 0, 30, 38, 0]
15716669991183271468802603: [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1]
valids=9
code=69412

15716709189102808281489407: [0, 24, 62, 66, 92, 102, 140, 144, 146, 174, 180, 186, 210, 216, 230, 236, 276, 302, 306, 344, 360]
15716709189102808281489407: [0, -30, 2, 0, 8, 6, 14, 0, -4, 0, 0, 0, 0, 0, -4, -28, 0, 8, 6, 38, 0]
15716709189102808281489407: [1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1]
valids=10
code=71624

Результаты с Ахиллеса

15716748678302385632746987: [0, 34, 66, 76, 84, 90, 126, 144, 150, 174, 180, 210, 222, 232, 234, 264, 294, 312, 340, 346, 360]
valids=10
code=48688

15716761764792516894912473: [0, 14, 48, 66, 84, 86, 126, 150, 170, 174, 180, 186, 210, 230, 234, 294, 306, 320, 354, 356, 360]
valids=10
code=108448

15716774836065719304909047: [0, 30, 54, 56, 60, 96, 126, 144, 170, 180, 200, 206, 210, 216, 252, 264, 266, 296, 300, 306, 360]
valids=10
code=28883

Результаты с Ахиллеса-3

15716643883755356359226737: [0, 4, 6, 16, 40, 130, 132, 144, 150, 174, 180, 186, 202, 226, 240, 252, 276, 294, 340, 352, 360]
valids=9
code=7948

15716656920351834190792207: [0, 34, 46, 54, 84, 96, 126, 144, 150, 154, 202, 210, 232, 252, 256, 264, 276, 294, 300, 330, 360]
valids=11
code=63518

15716656937801682766139263: [0, 10, 16, 76, 84, 108, 124, 144, 156, 174, 180, 208, 210, 234, 238, 264, 268, 276, 286, 306, 360]
valids=9
code=38545

15716656967368188132755327: [0, 14, 42, 54, 90, 104, 126, 146, 156, 164, 180, 186, 210, 216, 254, 264, 266, 294, 312, 356, 360]
valids=9
code=9172

15716670019326221861629873: [0, 4, 60, 76, 84, 90, 130, 144, 168, 174, 180, 186, 196, 208, 228, 234, 264, 294, 306, 318, 360]
valids=9
code=169732

15716683123944194040813037: [0, 30, 60, 84, 96, 126, 130, 144, 150, 174, 180, 186, 214, 220, 234, 262, 286, 294, 312, 352, 360]
valids=10
code=139044

15716683134937211563680703: [0, 18, 34, 46, 90, 96, 106, 120, 148, 174, 180, 208, 210, 228, 234, 264, 286, 294, 298, 318, 360]
valids=9
code=18100

15716683109572899667032433: [0, 6, 28, 34, 84, 118, 126, 136, 150, 174, 180, 190, 216, 250, 258, 264, 276, 304, 334, 340, 360]
valids=9
code=44568

15716696184114584164661923: [0, 54, 60, 84, 88, 96, 126, 148, 150, 180, 196, 210, 214, 216, 234, 238, 270, 306, 340, 348, 360]
valids=9
code=419936

15716722365998110041260443: [0, 48, 60, 66, 84, 96, 108, 120, 130, 166, 174, 186, 210, 234, 250, 256, 276, 306, 318, 336, 360]
valids=9
code=246152

15716722362174665364280907: [0, 54, 60, 66, 84, 96, 110, 126, 134, 162, 180, 194, 206, 216, 230, 236, 266, 294, 306, 320, 360]
valids=10
code=508484

15716735457117497745742567: [0, 4, 52, 60, 96, 124, 126, 144, 154, 166, 190, 202, 204, 216, 234, 262, 276, 294, 300, 334, 360]
valids=9
code=12398

15716735453351389513129687: [0, 6, 60, 66, 70, 76, 124, 144, 150, 162, 172, 180, 186, 196, 220, 234, 264, 294, 300, 306, 360]
valids=9
code=202759

15716735467345254899238163: [0, 4, 48, 100, 114, 130, 136, 144, 160, 180, 198, 208, 210, 216, 234, 264, 276, 294, 334, 340, 360]
valids=9
code=4348

15716735477172257525758073: [0, 14, 54, 60, 68, 98, 140, 144, 146, 174, 180, 188, 218, 230, 234, 260, 264, 294, 300, 306, 360]
valids=9
code=5671

Очень вкусное приближение нашлось к 21-ке с диаметром 360

15716801042838173218925143: [0, 54, 66, 90, 106, 118, 126, 144, 150, 174, 180, 186, 208, 216, 256, 264, 276, 280, 300, 304, 360]
valids=13
code=278362

Подробнее

15716801042838173218925143: [0, 54, 66, 90, 106, 118, 126, 144, 150, 174, 180, 186, 208, 216, 256, 264, 276, 280, 300, 304, 360]
15716801042838173218925143: [0, 0, 6, 24, 22, 22, 0, 0, 0, 0, 0, 0, -2, 0, 22, 0, 0, -14, 0, -2, 0]
15716801042838173218925143: [1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1]
valids=13
code=278362

Код, конечно, уникальный.

В приближении содержится центральная тройка.

Результаты с Ахиллеса-3

15716643906864397942390427: [0, 6, 60, 84, 86, 96, 110, 122, 150, 164, 180, 192, 210, 216, 230, 234, 242, 290, 300, 314, 360]
valids=9
code=150210

15716657000424917568344927: [0, 12, 50, 66, 102, 110, 116, 120, 150, 162, 182, 186, 210, 230, 234, 264, 276, 294, 312, 350, 360]
valids=10
code=68028

15716657016212387392672997: [0, 20, 44, 56, 74, 96, 102, 144, 150, 164, 174, 186, 192, 230, 236, 264, 276, 296, 300, 356, 360]
valids=9
code=22810

15716670071413196961225463: [0, 40, 66, 76, 84, 124, 130, 144, 150, 178, 180, 186, 210, 238, 258, 264, 276, 304, 306, 348, 360]
valids=10
code=39832

15716683151322215496914353: [0, 30, 58, 66, 84, 96, 150, 154, 156, 174, 180, 186, 216, 220, 256, 264, 280, 294, 318, 354, 360]
valids=10
code=116500

15716683167376506391399937: [0, 12, 20, 66, 84, 92, 96, 144, 146, 150, 180, 186, 194, 246, 260, 264, 284, 294, 336, 344, 360]
valids=9
code=103188

15716683177204164317456453: [0, 38, 60, 66, 84, 96, 126, 144, 146, 174, 216, 228, 230, 234, 236, 258, 278, 306, 308, 354, 360]
valids=9
code=259072

15716683153319573756347043: [0, 30, 44, 68, 84, 114, 126, 128, 156, 158, 180, 186, 210, 254, 258, 264, 266, 276, 300, 348, 360]
valids=9
code=41874

15716696249081218463287697: [0, 26, 66, 72, 84, 110, 144, 146, 152, 174, 180, 186, 216, 230, 236, 264, 270, 294, 300, 326, 360]
valids=9
code=34582

15716709347495774966075887: [0, 54, 60, 66, 84, 96, 106, 126, 130, 162, 180, 186, 190, 202, 214, 246, 252, 286, 306, 340, 360]
valids=9
code=508672

15716709322856709875561467: [0, 42, 60, 64, 84, 96, 102, 126, 150, 174, 180, 186, 210, 220, 232, 252, 264, 274, 306, 316, 360]
valids=10
code=184192

15716709338275478595892157: [0, 14, 26, 66, 84, 110, 150, 164, 170, 180, 182, 186, 210, 216, 276, 282, 284, 294, 300, 314, 360]
valids=9
code=98758

15716709329173266750766043: [0, 18, 20, 38, 78, 96, 126, 144, 146, 150, 188, 194, 210, 216, 236, 246, 278, 294, 300, 350, 360]
valids=9
code=28870

15716709355062470842977503: [0, 6, 26, 54, 78, 96, 120, 144, 146, 174, 180, 186, 188, 216, 234, 236, 248, 294, 344, 356, 360]
valids=10
code=22372

15716722430904320994258403: [0, 54, 60, 66, 78, 84, 96, 108, 130, 136, 154, 190, 214, 238, 256, 264, 276, 294, 300, 304, 360]
valids=9
code=458782

15716735518901734707059983: [0, 54, 60, 84, 96, 118, 126, 144, 150, 186, 190, 196, 208, 228, 234, 238, 276, 300, 318, 354, 360]
valids=9
code=407592

15716735524063471716158653: [0, 54, 76, 78, 84, 96, 106, 126, 150, 174, 178, 196, 210, 216, 234, 238, 250, 280, 294, 300, 360]
valids=10
code=314592

15716735483301896893344823: [0, 34, 60, 66, 84, 108, 154, 160, 168, 174, 180, 186, 208, 216, 226, 234, 264, 268, 304, 340, 360]
valids=9
code=231232

Хороший урожай!

И новый урожай с Ахиллеса-3

15716643974734636098106423: [0, 40, 54, 60, 84, 96, 130, 144, 150, 180, 184, 186, 210, 216, 228, 264, 294, 304, 334, 340, 360]
valids=10
code=55760

15716657085804409671229907: [0, 32, 50, 66, 84, 104, 110, 116, 122, 176, 180, 182, 210, 216, 230, 246, 264, 294, 300, 344, 360]
valids=9
code=99014

15716657079348876489628403: [0, 18, 20, 26, 84, 110, 126, 144, 158, 168, 180, 186, 188, 228, 234, 246, 276, 326, 336, 356, 360]
valids=9
code=45864

15716670170865094157586187: [0, 12, 16, 42, 94, 96, 126, 150, 154, 174, 180, 186, 214, 216, 234, 252, 276, 280, 300, 312, 360]
valids=11
code=26474

15716683244787949734169627: [0, 36, 54, 66, 84, 124, 126, 132, 144, 174, 180, 186, 210, 232, 264, 294, 304, 340, 342, 346, 360]
valids=9
code=108416

15716683271127505109306737: [0, 4, 24, 82, 84, 90, 124, 136, 150, 174, 196, 202, 210, 216, 250, 264, 276, 306, 334, 354, 360]
valids=9
code=36056

15716696316347115545551577: [0, 26, 32, 60, 74, 104, 126, 144, 146, 174, 180, 186, 206, 216, 240, 252, 282, 294, 326, 336, 360]
valids=9
code=14148

15716709414802590701677483: [0, 54, 60, 66, 76, 78, 84, 130, 166, 174, 180, 186, 210, 214, 216, 294, 330, 334, 340, 354, 360]
valids=9
code=460672

15716709438989819943464263: [0, 4, 10, 58, 84, 124, 130, 136, 150, 174, 180, 186, 210, 226, 234, 264, 294, 318, 340, 348, 360]
valids=10
code=36784

15716709408764159599327397: [0, 44, 54, 66, 84, 90, 122, 126, 150, 156, 180, 186, 210, 216, 230, 266, 276, 306, 320, 332, 360]
valids=10
code=101320

15716709388577054151593627: [0, 12, 32, 66, 102, 122, 126, 144, 150, 174, 180, 186, 212, 230, 234, 264, 276, 312, 342, 350, 360]
valids=12
code=81720

15716709409216615722552503: [0, 38, 66, 80, 84, 90, 126, 144, 150, 170, 180, 186, 200, 210, 224, 230, 236, 294, 338, 354, 360]
valids=9
code=47876

15716722492066177943730697: [0, 34, 42, 54, 82, 96, 130, 142, 150, 160, 180, 186, 210, 216, 240, 264, 276, 282, 306, 352, 360]
valids=10
code=19416

15716722483660503658446707: [0, 12, 56, 60, 84, 102, 126, 132, 152, 174, 176, 186, 210, 224, 236, 276, 284, 294, 300, 320, 360]
valids=9
code=42374

15716722502558478494633567: [0, 26, 62, 66, 84, 96, 102, 122, 156, 164, 180, 186, 212, 240, 242, 266, 284, 296, 300, 306, 360]
valids=9
code=115459

15716722503890997729104123: [0, 14, 18, 26, 66, 96, 98, 110, 134, 164, 174, 186, 200, 216, 234, 246, 276, 294, 300, 356, 360]
valids=9
code=16750

15716735596256340578564113: [0, 4, 60, 66, 70, 84, 114, 144, 150, 174, 184, 208, 210, 226, 240, 250, 270, 276, 300, 336, 360]
valids=9
code=203906

Замечательно находятся приближения к 21-ке с диаметром 360!
Конечно, valids низковат.

Эти приближения в спектр, который составляю вручную.

Ещё порция результатов с Ахиллеса-3

15716644085180721548221123: [0, 6, 10, 34, 48, 96, 118, 126, 144, 174, 180, 186, 210, 234, 238, 250, 276, 294, 334, 340, 360]
valids=9
code=18316

15716644096434910084882453: [0, 34, 60, 66, 84, 118, 126, 144, 150, 154, 180, 184, 208, 216, 228, 256, 258, 294, 310, 340, 360]
valids=11
code=244292

15716644085912760156882197: [0, 20, 42, 66, 102, 122, 126, 144, 174, 180, 186, 192, 210, 216, 230, 234, 276, 294, 296, 356, 360]
valids=9
code=78028

15716644059843839677734497: [0, 42, 44, 66, 72, 74, 102, 122, 146, 164, 182, 186, 212, 216, 234, 254, 276, 282, 300, 306, 360]
valids=9
code=65899

15716657165510899048965827: [0, 36, 62, 66, 74, 96, 122, 144, 152, 174, 180, 200, 210, 234, 252, 264, 302, 332, 342, 354, 360]
valids=9
code=87696

15716657162587423021815317: [0, 54, 62, 66, 74, 86, 96, 102, 140, 164, 174, 180, 192, 216, 254, 264, 276, 294, 300, 326, 360]
valids=9
code=327774

15716657129184139125623393: [0, 14, 18, 56, 60, 98, 140, 144, 150, 158, 176, 186, 210, 216, 264, 276, 284, 294, 300, 356, 360]
valids=9
code=6598

15716670260944207432561843: [0, 46, 48, 60, 84, 90, 106, 130, 150, 174, 178, 186, 190, 216, 250, 264, 276, 294, 316, 354, 360]
valids=10
code=36188

15716696409391121782496017: [0, 22, 60, 64, 84, 96, 112, 126, 150, 172, 180, 186, 190, 196, 216, 232, 246, 250, 300, 346, 360]
valids=9
code=183042

15716709484677676636236403: [0, 4, 18, 34, 84, 118, 126, 144, 150, 154, 198, 208, 210, 216, 228, 238, 250, 264, 304, 306, 360]
valids=9
code=47297

15716722591871195834467687: [0, 60, 64, 66, 102, 106, 126, 132, 172, 174, 180, 186, 210, 214, 216, 246, 274, 276, 300, 316, 360]
valids=9
code=75650

15716722536427992028573237: [0, 12, 34, 66, 76, 84, 130, 154, 162, 174, 180, 186, 190, 210, 234, 256, 286, 292, 300, 306, 360]
valids=9
code=67363

15716722533668505590345417: [0, 20, 26, 42, 84, 96, 120, 146, 150, 152, 164, 186, 200, 230, 234, 252, 276, 290, 300, 320, 360]
valids=9
code=51498

15716722530333109782637013: [0, 14, 54, 68, 84, 96, 128, 144, 150, 158, 170, 186, 188, 216, 230, 234, 276, 350, 354, 356, 360]
valids=9
code=55624

15716735615684276514140413: [0, 54, 78, 94, 108, 124, 126, 130, 136, 144, 168, 180, 208, 220, 256, 264, 276, 294, 300, 306, 360]
valids=9
code=270367

Здесь большинство приближений с valids=9, лучшее приближение с valids=11.

Результаты с Ахиллеса

15716762116332003472651387: [0, 70, 76, 82, 84, 94, 96, 126, 130, 144, 180, 192, 210, 216, 250, 264, 286, 294, 300, 306, 360]
valids=10
code=33495

15716788271911104721252523: [0, 26, 60, 66, 84, 96, 108, 116, 158, 174, 180, 224, 248, 260, 264, 276, 284, 294, 300, 350, 360]
valids=10
code=247302

Пока останавливаю этот поиск.
Здесь было всего 5 потоков.
Результатов очень мало находится.
На Ахиллесе-3 пока продолжается этот поиск.
Там потоков побольше и результатов побольше.

У меня готов новый алгоритм поиска симметричных 21-tuplets.
Сейчас буду запускать этот алгоритм.
Расскажу об алгоритме позже.