Crea sito

Result for K-Tuples of Primes

The competition K-Tuples of Primes is over.

Thanks to all people that have partecipate.

The winner is Jarek (see Ranking)

The result is in this table:

Task
K-tuple
Diameter
Prime
Magic(*)
Name
1
17
240
1006882292528806742267
0
Jarek
0,6,24,36,66,84,90,114,120,126,150,156,174,204,216,234,240
1
17
348
11954696436290948869
0
Jarek
0,18,60,78,90,138,144,168,174,180,204,210,258,270,288,330,348
1
17
360
12196464604998841777
0
Jarek
0,36,84,96,114,120,126,150,180,210,234,240,246,264,276,324,360
1
17
264
1338977422865229706499
0
Jarek
0,12,24,30,42,54,84,90,132,174,180,210,222,234,240,252,264
1
17
360
14271237683005753507
0
Jarek
0,24,30,84,96,114,150,156,180,204,210,246,264,276,330,336,360
1
17
348
17667344133365404873
0
Jarek
0,30,48,84,90,108,114,150,174,198,234,240,258,264,300,318,348
1
17
420
18462005826764715791
0
Jarek
0,78,90,102,120,162,168,192,210,228,252,258,300,318,330,342,420
1
17
240
19252814175273852997757
0
Jarek
0,6,24,36,66,84,90,114,120,126,150,156,174,204,216,234,240
1
17
240
20278587540464136529199
0
Jarek
0,12,30,42,60,72,78,102,120,138,162,168,180,198,210,228,240
1
17
264
2035559077035293441299
0
Jarek
0,12,24,42,54,84,90,114,132,150,174,180,210,222,240,252,264
1
17
240
24300494153317939112651
0
Jarek
0,12,18,30,42,72,78,102,120,138,162,168,198,210,222,228,240
1
17
240
25651315879379564172971
0
Jarek
0,12,18,30,42,72,78,102,120,138,162,168,198,210,222,228,240
1
17
240
258406392900394343851
0
Jarek
0,12,30,42,60,72,78,102,120,138,162,168,180,198,210,228,240
1
17
288
311634572279873026493
0
Jarek
0,18,54,60,78,84,120,138,144,150,168,204,210,228,234,270,288
1
17
240
32686971428909208943211
0
Jarek
0,12,30,42,60,72,78,102,120,138,162,168,180,198,210,228,240
1
17
264
384703558068522780559
0
Jarek
0,24,30,42,72,84,90,114,132,150,174,180,192,222,234,240,264
1
17
240
3954328349097827424397
0
Jarek
0,6,24,36,66,84,90,114,120,126,150,156,174,204,216,234,240
1
17
252
401276622469261903031
0
Jarek
0,6,12,30,72,90,96,120,126,132,156,162,180,222,240,246,252
1
17
324
443707110791502007579
0
Jarek
0,42,72,84,114,120,132,150,162,174,192,204,210,240,252,282,324
1
17
240
4896552110116770789773
0
Jarek
0,6,24,36,66,84,90,114,120,126,150,156,174,204,216,234,240
1
17
288
535010601740877140023
0
Jarek
0,18,54,60,78,84,120,138,144,150,168,204,210,228,234,270,288
1
17
252
568398209014995678701
0
Jarek
0,6,12,30,42,72,90,96,126,156,162,180,210,222,240,246,252
1
17
240
6751407944109046348063
0
Jarek
0,6,24,36,66,84,90,114,120,126,150,156,174,204,216,234,240
1
17
312
6837359459759035391
0
Jarek
0,42,60,66,72,120,126,150,156,162,186,192,240,246,252,270,312
1
17
444
702939111495760681807
0
Jarek
0,90,102,132,144,174,180,210,222,234,264,270,300,312,342,354,444
1
17
252
752853880537802642981
0
Jarek
0,6,12,30,42,72,96,120,126,132,156,180,210,222,240,246,252
1
17
240
7768326730875185894807
0
Jarek
0,6,24,36,66,84,90,114,120,126,150,156,174,204,216,234,240
1
17
360
7902083290948579129
0
Jarek
0,12,18,102,132,138,150,168,180,192,210,222,228,258,342,348,360
1
17
360
8053379680763235601
0
Jarek
0,18,48,60,102,132,138,150,180,210,222,228,258,300,312,342,360
2
14
56
10421030292115097
0
Natalia Makarova
0, 2, 6, 12, 14, 20, 26, 30, 36, 42, 44, 50, 54, 56
2
17
240
258406392900394343851
0
Jarek
0,12,30,42,60,72,78,102,120,138,162,168,180,198,210,228,240
2
15
180
3112462738414697093
0
Jarek
0,6,24,30,54,66,84,90,96,114,126,150,156,174,180
2
12
46
41280160361347
0
Natalia Makarova
0, 4, 6, 10, 12, 22, 24, 34, 36, 40, 42, 46
2
20
94
824871967574850703732303
0
Jarek
0,6,10,16,18,24,28,34,36,46,48,58,60,66,70,76,78,84,88,94
2
20
94
824871967574850703732303
0
Natalia Makarova
0, 6, 10, 16, 18, 24, 28, 34, 36, 46, 48, 58, 60, 66, 70, 76, 78, 84, 88, 94
2
18
82
824871967574850703732309
0
Jarek
0,4,10,12,18,22,28,30,40,42,52,54,60,64,70,72,78,82
2
16
74
824871967574850703732313
0
Jarek
0,6,8,14,18,24,26,36,38,48,50,56,60,66,68,74
2
16
74
996689250471604163
0
Natalia Makarova
0, 6, 8, 14, 18, 24, 26, 36, 38, 48, 50, 56, 60, 66, 68, 74
3
16
94
320572022166380833
188
Jarek
0, 6, 10, 16, 18, 24, 28, 34, 60, 66, 70, 76, 78, 84, 88, 94
0, 88, 16, 84, 76, 24, 60, 28, 78, 10, 94, 6, 34, 66, 18, 70
3
16
94
320572022166380833
188
Natalia Makarova
0, 6, 10, 16, 18, 24, 28, 34, 60, 66, 70, 76, 78, 84, 88, 94
0, 88, 16, 84,76, 24, 60, 28, 78, 10, 94, 6, 34, 66, 18, 70
3
16
94
3848563151802671563
188
Jarek
0, 6, 10, 16, 18, 24, 28, 34, 60, 66, 70, 76, 78, 84, 88, 94
0,88,16,84,76,24,60,28,78,10,94,6,34,66,18,70
3
16
104
1798875821147433863
208
Jarek
0,6,14,20,24,30,38,44,60,66,74,80,84,90,98,104
0,98,20,90,80,30,60,38,84,14,104,6,44,66,24,74
3
16
122
1960984050584219159
244
Jarek
0,2,30,32,42,44,48,50,72,74,78,80,90,92,120,122
0,92,32,120,80,72,48,44,90,2,122,30,74,78,42,50
3
16
122
3919782822690082529
244
Jarek
0,12,20,32,42,48,54,60,62,68,74,80,90,102,110,122
0,110,32,102,80,54,48,62,90,20,122,12,74,60,42,68
3
16
134
2257802843933625383
268
Jarek
0,14,30,36,44,50,54,66,68,80,84,90,98,104,120,134
0,104,44,120,98,66,54,50,90,14,134,30,80,84,36,68
3
16
134
2618338000143236213
268
Jarek
0,6,8,14,30,36,38,44,90,96,98,104,120,126,128,134
0,128,14,126,104,36,90,38,120,8,134,6,44,96,30,98
3
16
136
3761006076207114997
272
Jarek
0,10,12,22,30,40,42,52,84,94,96,106,114,124,126,136
0,124,22,126,106,42,84,40,114,10,136,12,52,96,30,94

3
16
136
4363602266560571527
272
Jarek
0,10,12,22,42,52,54,64,72,82,84,94,114,124,126,136
0,124,22,126,94,54,72,52,114,10,136,12,64,84,42,82
3
16
136
6244416299036828467
272
Jarek
0,10,24,34,36,46,60,66,70,76,90,100,102,112,126,136
0,112,34,126,100,60,66,46,102,10,136,24,70,90,36,76
3
16
140
6691809871504172069
280
Jarek
0,20,30,42,48,50,62,68,72,78,90,92,98,110,120,140
0,110,50,120,98,72,48,62,90,20,140,30,92,78,42,68

3
16
146
196410946169488007
292
Jarek
0,20,24,42,44,60,62,66,80,84,86,102,104,122,126,146
0,122,44,126,104,66,60,62,102,20,146,24,86,84,42,80
3
16
146
2385895716615665027
292
Jarek
0,12,30,42,44,56,60,72,74,86,90,102,104,116,134,146
0,134,56,102,116,42,60,74,90,44,146,12,86,72,30,104
3
16
146
4018288550284158077
292
Jarek
0,2,12,14,42,44,54,56,90,92,102,104,132,134,144,146
0,134,14,144,104,54,90,44,132,2,146,12,56,102,42,92

3
16
146
5852971406868161687
292
Jarek
0,14,30,42,44,56,60,72,74,86,90,102,104,116,132,146
0,116,44,132,104,72,60,56,102,14,146,30,86,90,42,74
3
16
148
790313279999714941
296
Jarek
0,10,18,28,42,52,60,70,78,88,96,106,120,130,138,148
0,130,28,138,106,60,78,52,120,10,148,18,70,96,42,88
3
16
152
6118066623221589779
304
Jarek
0,2,30,32,42,44,72,74,78,80,108,110,120,122,150,152
0,122,32,150,110,72,78,44,120,2,152,30,74,108,42,80
3
16
154
3126035304223644013
308
Jarek
0,6,18,24,60,66,70,76,78,84,88,94,130,136,148,154
0,148,76,84,136,24,60,88,78,70,154,6,94,66,18,130
3
16
154
5908915623504697003
308
Jarek
0,6,30,36,48,54,70,76,78,84,100,106,118,124,148,154
0,148,76,84,124,36,48,100,78,70,154,6,106,54,30,118
3
16
158
256102275341453231
316
Jarek
0,18,20,38,42,60,62,78,80,96,98,116,120,138,140,158
0,140,38,138,116,60,78,62,120,20,158,18,80,96,42,98
3
16
158
2714164755369606551
316
Jarek
0,6,12,18,50,56,62,68,90,96,102,108,140,146,152,158
0,152,56,108,146,18,90,62,102,50,158,6,68,96,12,140
3
16
160
5848893302197701529
320
Jarek
0,12,30,42,48,60,70,78,82,90,100,112,118,130,148,160
0,148,82,90,130,42,48,100,78,70,160,12,112,60,30,118
3
16
160
64747964125739269
320
Jarek
0,12,30,42,58,60,70,72,88,90,100,102,118,130,148,160
0,148,70,102,130,42,60,88,90,58,160,12,100,72,30,118
3
16
164
1464641505981883193
328
Jarek
0,6,20,26,48,54,68,74,90,96,110,116,138,144,158,164
0,158,26,144,116,54,90,68,138,20,164,6,74,96,48,110
3
16
164
1960292815770022553
328
Jarek
0,14,30,36,44,50,66,80,84,98,114,120,128,134,150,164
0,134,44,150,128,66,84,50,120,14,164,30,80,114,36,98
3
16
164
274205528562749933
328
Jarek
0,6,30,36,44,50,74,80,84,90,114,120,128,134,158,164
0,158,50,120,134,36,84,74,114,44,164,6,80,90,30,128
3
16
164
2997980939880952853
328
Jarek
0,18,20,38,60,66,78,80,84,86,98,104,126,144,146,164
0,146,38,144,104,78,66,80,126,20,164,18,98,84,60,86
3
16
164
371373613280965583
328
Jarek
0,14,30,44,54,66,68,80,84,96,98,110,120,134,150,164
0,134,44,150,110,84,66,68,120,14,164,30,98,96,54,80
3
16
164
5526360461238138947
328
Jarek
0,12,20,32,42,54,62,74,90,102,110,122,132,144,152,164
0,152,32,144,122,54,90,62,132,20,164,12,74,102,42,110
3
16
164
6326577705299871353
328
Jarek
0,6,20,26,48,54,68,74,90,96,110,116,138,144,158,164
0,158,26,144,116,54,90,68,138,20,164,6,74,96,48,110
3
16
166
3616410488635421107
332
Jarek
0,10,12,22,42,52,54,64,102,112,114,124,144,154,156,166
0,154,22,156,124,54,102,52,144,10,166,12,64,114,42,112
3
16
166
6917484059804434777
332
Jarek
0,12,30,40,42,52,70,82,84,96,114,124,126,136,154,166
0,154,52,126,136,42,84,70,114,40,166,12,82,96,30,124
3
16
170
1038966937575833507
340
Jarek
0,14,30,36,44,50,66,80,90,104,120,126,134,140,156,170
0,140,44,156,134,66,90,50,126,14,170,30,80,120,36,104
3
16
170
1963958718695104277
340
Jarek
0,6,20,26,60,66,80,84,86,90,104,110,144,150,164,170
0,164,26,150,110,66,84,80,144,20,170,6,86,90,60,104
3
16
170
2845164447410820947
340
Jarek
0,20,24,44,60,66,80,84,86,90,104,110,126,146,150,170
0,146,44,150,110,84,66,80,126,20,170,24,104,90,60,86
3
16
172
2005475517332717239
344
Jarek
0,10,18,24,28,34,42,52,120,130,138,144,148,154,162,172
0,154,28,162,148,42,120,34,144,10,172,18,52,138,24,130
3
16
172
2416906123161566167
344
Jarek
0,10,36,46,60,66,70,76,96,102,106,112,126,136,162,172
0,136,46,162,112,96,66,70,126,10,172,36,106,102,60,76
3
16
172
3320148889158253969
344
Jarek
0,12,22,34,48,60,70,82,90,102,112,124,138,150,160,172
0,160,34,150,124,60,90,70,138,22,172,12,82,102,48,112
3
16
172
6943668427522772461
344
Jarek
0,10,36,46,60,66,70,76,96,102,106,112,126,136,162,172
0,136,46,162,112,96,66,70,126,10,172,36,106,102,60,76
3
16
172
822148161893494519
344
Jarek
0,12,28,30,40,42,58,70,102,114,130,132,142,144,160,172
0,160,40,144,142,42,102,58,132,28,172,12,70,114,30,130
3
16
176
1759943151645258947
352
Jarek
0,2,12,14,42,44,54,56,120,122,132,134,162,164,174,176
0,164,14,174,134,54,120,44,162,2,176,12,56,132,42,122
3
16
176
244890665002815107
352
Jarek
0,6,24,30,66,72,80,86,90,96,104,110,146,152,170,176
0,170,86,96,152,30,66,104,90,80,176,6,110,72,24,146
3
16
176
256734097976480057
352
Jarek
0,6,20,26,66,72,84,86,90,92,104,110,150,156,170,176
0,170,26,156,110,72,84,86,150,20,176,6,92,90,66,104
3
16
176
3954044488109204897
352
Jarek
0,6,14,20,30,36,44,50,126,132,140,146,156,162,170,176
0,170,20,162,146,36,126,44,156,14,176,6,50,132,30,140
3
16
176
5030319683017841117
352
Jarek
0,6,14,20,66,72,80,86,90,96,104,110,156,162,170,176
0,170,20,162,110,72,90,80,156,14,176,6,86,96,66,104
3
16
176
6926619233106731357
352
Jarek
0,6,20,26,66,72,84,86,90,92,104,110,150,156,170,176
0,170,26,156,110,72,84,86,150,20,176,6,92,90,66,104
3
16
178
125857555941397681
356
Jarek
0,10,42,48,52,58,78,88,90,100,120,126,130,136,168,178
0,136,52,168,130,90,78,58,126,10,178,42,100,120,48,88
3
16
178
1638289267064976151
356
Jarek
0,10,30,40,42,52,72,82,96,106,126,136,138,148,168,178
0,148,40,168,136,72,96,52,138,10,178,30,82,126,42,106
3
16
178
247107577536578131
356
Jarek
0,6,10,16,42,48,52,58,120,126,130,136,162,168,172,178
0,172,16,168,136,48,120,52,162,10,178,6,58,126,42,130
3
16
178
3580535146422008413
356
Jarek
0,4,30,34,60,64,84,88,90,94,114,118,144,148,174,178
0,148,34,174,118,90,84,64,144,4,178,30,94,114,60,88
3
16
178
4527086954095994641
356
Jarek
0,12,30,40,42,52,70,82,96,108,126,136,138,148,166,178
0,166,52,138,148,42,96,70,126,40,178,12,82,108,30,136
3
16
182
3300518070945984359
364
Jarek
0,18,20,38,60,78,80,84,98,102,104,122,144,162,164,182
0,164,38,162,122,78,84,80,144,20,182,18,98,102,60,104
3
16
182
6234691012623925289
364
Jarek
0,8,12,20,42,50,54,62,120,128,132,140,162,170,174,182
0,170,20,174,140,54,120,50,162,8,182,12,62,132,42,128
3
16
184
2104650358729544023
368
Jarek
0,6,34,40,60,66,84,90,94,100,118,124,144,150,178,184
0,178,40,150,124,66,84,94,144,34,184,6,100,90,60,118
3
16
184
2962098063724222219
368
Jarek
0,12,30,40,42,52,70,82,102,114,132,142,144,154,172,184
0,172,52,144,154,42,102,70,132,40,184,12,82,114,30,142
3
16
188
1709642327471063801
376
Jarek
0,2,30,32,60,62,90,92,96,98,126,128,156,158,186,188
0,158,32,186,128,90,96,62,156,2,188,30,92,126,60,98
3
16
188
3464369515329419603
376
Jarek
0,14,30,44,60,74,84,90,98,104,114,128,144,158,174,188
0,158,44,174,128,90,84,74,144,14,188,30,104,114,60,98
3
16
188
4308119447085349781
376
Jarek
0,6,30,36,42,48,72,78,110,116,140,146,152,158,182,188
0,182,116,78,158,36,42,140,72,110,188,6,146,48,30,152
3
16
188
4789518210750386921
376
Jarek
0,20,36,42,56,62,78,90,98,110,126,132,146,152,168,188
0,152,56,168,146,78,90,62,132,20,188,36,98,126,42,110
3
16
190
136574805190153411
380
Jarek
0,28,30,42,58,70,72,90,100,118,120,132,148,160,162,190
0,160,58,162,148,72,90,70,132,28,190,30,100,120,42,118
3
16
190
2970792733217448709
380
Jarek
0,10,30,40,42,52,72,82,108,118,138,148,150,160,180,190
0,160,40,180,148,72,108,52,150,10,190,30,82,138,42,118
3
16
190
3259520866813541389
380
Jarek
0,22,30,48,52,70,78,90,100,112,120,138,142,160,168,190
0,160,52,168,142,78,90,70,138,22,190,30,100,120,48,112
3
16
190
5378927763817198771
380
Jarek
0,10,42,52,60,70,78,88,102,112,120,130,138,148,180,190
0,148,52,180,130,102,78,70,138,10,190,42,112,120,60,88
3
16
190
543046371789268681
380
Jarek
0,10,42,52,60,70,78,88,102,112,120,130,138,148,180,190
0,148,52,180,130,102,78,70,138,10,190,42,112,120,60,88
3
16
190
6396263061532754749
380
Jarek
0,10,30,40,42,52,72,82,108,118,138,148,150,160,180,190
0,160,40,180,148,72,108,52,150,10,190,30,82,138,42,118
3
16
194
30870839193095093
388
Jarek
0,14,30,44,66,80,84,96,98,110,114,128,150,164,180,194
0,164,44,180,128,96,84,80,150,14,194,30,110,114,66,98
3
16
194
4051849896719838407
388
Jarek
0,12,20,32,42,54,62,74,120,132,140,152,162,174,182,194
0,182,32,174,152,54,120,62,162,20,194,12,74,132,42,140
3
16
194
52820951046679703
388
Jarek
0,20,24,44,66,84,86,90,104,108,110,128,150,170,174,194
0,170,44,174,128,90,84,86,150,20,194,24,110,108,66,104
3
16
194
7300094584443422507
388
Jarek
0,12,20,32,42,54,62,74,120,132,140,152,162,174,182,194
0,182,32,174,152,54,120,62,162,20,194,12,74,132,42,140
3
16
196
197328576729627247
392
Jarek
0,4,42,46,60,64,90,94,102,106,132,136,150,154,192,196
0,154,46,192,136,102,90,64,150,4,196,42,106,132,60,94
3
16
196
2120809189473200557
392
Jarek
0,24,36,60,66,70,90,94,102,106,126,130,136,160,172,196
0,172,94,126,160,60,66,106,102,70,196,24,130,90,36,136
3
16
196
2609488448804959987
392
Jarek
0,12,30,40,42,52,70,82,114,126,144,154,156,166,184,196
0,184,52,156,166,42,114,70,144,40,196,12,82,126,30,154
3
16
196
4418808046547962567
392
Jarek
0,12,22,34,42,54,64,76,120,132,142,154,162,174,184,196
0,184,34,174,154,54,120,64,162,22,196,12,76,132,42,142
3
16
196
700770556458849277
392
Jarek
0,10,24,34,42,52,66,76,120,130,144,154,162,172,186,196
0,172,34,186,154,66,120,52,162,10,196,24,76,144,42,130
3
16
200
4930532549661487103
400
Jarek
0,14,30,44,60,74,90,96,104,110,126,140,156,170,186,200
0,170,44,186,140,90,96,74,156,14,200,30,104,126,60,110
3
16
200
4960536274955735003
400
Jarek
0,14,36,50,60,74,90,96,104,110,126,140,150,164,186,200
0,164,50,186,140,96,90,74,150,14,200,36,110,126,60,104
3
16
202
1161886340216531929
404
Jarek
0,18,42,52,60,70,90,94,108,112,132,142,150,160,184,202
0,184,70,150,160,60,90,94,132,52,202,18,112,108,42,142
3
16
202
1260702715810312429
404
Jarek
0,28,30,42,58,70,72,100,102,130,132,144,160,172,174,202
0,172,58,174,160,72,102,70,144,28,202,30,100,132,42,130
3
16
202
3526298299878274429
404
Jarek
0,12,42,54,70,78,82,90,112,120,124,132,148,160,190,202
0,190,82,132,160,54,78,112,120,70,202,12,124,90,42,148
3
16
206
1184206362130402157
412
Jarek
0,30,54,56,66,84,86,96,110,120,122,140,150,152,176,206
0,176,86,150,152,84,66,110,120,56,206,30,140,96,54,122
3
16
206
1274498753259676961
412
Jarek
0,18,20,38,60,78,80,98,108,126,128,146,168,186,188,206
0,188,38,186,146,78,108,80,168,20,206,18,98,126,60,128
3
16
206
1349849386699416773
412
Jarek
0,18,48,60,66,78,80,98,108,126,128,140,146,158,188,206
0,188,98,126,158,66,60,128,108,80,206,18,146,78,48,140
3
16
206
1944662984243678687
412
Jarek
0,32,42,60,72,74,92,102,104,114,132,134,146,164,174,206
0,164,74,174,146,102,72,92,132,32,206,42,134,114,60,104
3
16
206
2454945853671281441
412
Jarek
0,18,20,38,60,78,80,98,108,126,128,146,168,186,188,206
0,188,38,186,146,78,108,80,168,20,206,18,98,126,60,128
3
16
206
4593033835811242937
412
Jarek
0,26,30,56,66,84,92,96,110,114,122,140,150,176,180,206
0,176,56,180,140,96,84,92,150,26,206,30,122,114,66,110
3
16
206
5512467165717387017
412
Jarek
0,2,30,32,42,44,72,74,132,134,162,164,174,176,204,206
0,176,32,204,164,72,132,44,174,2,206,30,74,162,42,134
3
16
206
584975972044768607
412
Jarek
0,6,50,56,66,72,84,90,116,122,134,140,150,156,200,206
0,200,56,156,140,72,84,116,150,50,206,6,122,90,66,134
3
16
206
6143618019866182577
412
Jarek
0,12,24,30,36,42,54,66,140,152,164,170,176,182,194,206
0,194,152,66,182,36,30,164,54,140,206,12,176,42,24,170
3
16
208
2657619911321552311
416
Jarek
0,10,36,46,60,70,96,102,106,112,138,148,162,172,198,208
0,172,46,198,148,96,102,70,162,10,208,36,106,138,60,112
3
16
208
3240195864372286321
416
Jarek
0,36,40,42,76,78,82,90,118,126,130,132,166,168,172,208
0,172,76,168,166,78,90,82,132,40,208,36,118,126,42,130
3
16
208
3288578117539863121
416
Jarek
0,28,30,42,58,70,72,100,108,136,138,150,166,178,180,208
0,178,58,180,166,72,108,70,150,28,208,30,100,138,42,136
3
16
208
4648589081277508711
416
Jarek
0,10,18,28,60,70,78,88,120,130,138,148,180,190,198,208
0,190,28,198,148,78,120,70,180,10,208,18,88,138,60,130
3
16
208
5143686234236121601
416
Jarek
0,18,22,40,60,78,82,100,108,126,130,148,168,186,190,208
0,190,40,186,148,78,108,82,168,22,208,18,100,126,60,130
3
16
208
5924013319890276241
416
Jarek
0,12,30,42,66,78,96,100,108,112,130,142,166,178,196,208
0,196,112,108,178,42,66,130,96,100,208,12,142,78,30,166
3
16
208
6460757831849769991
416
Jarek
0,12,48,60,70,78,82,90,118,126,130,138,148,160,196,208
0,196,82,138,160,60,78,118,126,70,208,12,130,90,48,148
3
16
208
7129286091391865041
416
Jarek
0,28,42,60,70,78,88,102,106,120,130,138,148,166,180,208
0,166,70,180,148,102,78,88,138,28,208,42,130,120,60,106
3
16
208
7302012435009585511
416
Jarek
0,12,60,66,70,72,78,82,126,130,136,138,142,148,196,208
0,196,82,138,148,72,66,130,126,70,208,12,142,78,60,136
3
16
212
1025519173619653079
424
Jarek
0,2,42,44,78,80,90,92,120,122,132,134,168,170,210,212
0,170,44,210,134,120,90,80,168,2,212,42,122,132,78,92
3
16
212
119890755200639999
424
Jarek
0,2,42,44,78,80,90,92,120,122,132,134,168,170,210,212
0,170,44,210,134,120,90,80,168,2,212,42,122,132,78,92
3
16
212
2998166279211456467
424
Jarek
0,6,30,36,50,56,80,86,126,132,156,162,176,182,206,212
0,206,56,162,182,36,126,80,156,50,212,6,86,132,30,176
3
16
212
3348119580392456939
424
Jarek
0,14,24,38,84,90,98,104,108,114,122,128,174,188,198,212
0,188,38,198,128,108,90,98,174,14,212,24,122,114,84,104
3
16
212
483563057397037421
424
Jarek
0,12,30,42,60,72,90,102,110,122,140,152,170,182,200,212
0,200,122,102,182,42,60,140,90,110,212,12,152,72,30,170
3
16
212
5768551885430844239
424
Jarek
0,14,30,44,78,90,92,104,108,120,122,134,168,182,198,212
0,182,44,198,134,108,90,92,168,14,212,30,122,120,78,104
3
16
214
121677799699349479
428
Jarek
0,10,24,34,60,70,84,94,120,130,144,154,180,190,204,214
0,190,34,204,154,84,120,70,180,10,214,24,94,144,60,130
3
16
214
6145034310642442003
428
Jarek
0,10,60,66,70,76,78,88,126,136,138,144,148,154,204,214
0,154,70,204,148,126,78,76,144,10,214,60,136,138,66,88
3
16
214
6473064433226665033
428
Jarek
0,18,30,48,70,88,96,100,114,118,126,144,166,184,196,214
0,196,88,144,184,48,96,100,126,70,214,18,118,114,30,166
3
16
214
6860133665885637793
428
Jarek
0,10,18,28,66,76,84,94,120,130,138,148,186,196,204,214
0,196,28,204,148,84,120,76,186,10,214,18,94,138,66,130
3
16
214
826028861488453243
428
Jarek
0,36,48,60,70,84,96,106,108,118,130,144,154,166,178,214
0,178,106,144,166,84,60,118,108,70,214,36,154,96,48,130
3
16
218
1792052806371623099
436
Jarek
0,20,30,50,78,90,98,108,110,120,128,140,168,188,198,218
0,188,50,198,140,108,90,98,168,20,218,30,128,120,78,110
3
16
218
3699486792695636141
436
Jarek
0,6,30,36,50,56,80,86,132,138,162,168,182,188,212,218
0,212,56,168,188,36,132,80,162,50,218,6,86,138,30,182
3
16
218
6837944486582519201
436
Jarek
0,12,30,36,42,48,66,78,140,152,170,176,182,188,206,218
0,206,152,78,188,42,36,170,66,140,218,12,182,48,30,176
3
16
218
6837953580968433689
436
Jarek
0,20,30,50,78,90,98,108,110,120,128,140,168,188,198,218
0,188,50,198,140,108,90,98,168,20,218,30,128,120,78,110
3
16
218
6903481620265522931
436
Jarek
0,6,30,36,56,62,86,92,126,132,156,162,182,188,212,218
0,212,62,162,188,36,126,86,156,56,218,6,92,132,30,182
3
16
220
1104766616538404359
440
Jarek
0,30,40,42,70,72,82,108,112,138,148,150,178,180,190,220
0,190,70,180,178,72,108,82,150,40,220,30,112,138,42,148
3
16
220
1977443805899164879
440
Jarek
0,30,40,42,70,72,82,108,112,138,148,150,178,180,190,220
0,190,70,180,178,72,108,82,150,40,220,30,112,138,42,148
3
16
220
3516575775430342843
440
Jarek
0,30,40,66,70,84,96,106,114,124,136,150,154,180,190,220
0,190,70,180,154,96,84,106,150,40,220,30,136,114,66,124
3
16
220
6144860086481473681
440
Jarek
0,10,42,48,52,58,90,100,120,130,162,168,172,178,210,220
0,178,52,210,172,90,120,58,168,10,220,42,100,162,48,130
3
16
224
1353204408659434493
448
Jarek
0,24,30,54,84,86,108,110,114,116,138,140,170,194,200,224
0,200,110,138,194,54,84,116,114,86,224,24,140,108,30,170
3
16
224
1365986292501549617
448
Jarek
0,30,42,62,72,90,92,104,120,132,134,152,162,182,194,224
0,194,92,162,182,72,90,104,132,62,224,30,134,120,42,152
3
16
224
1836717961457293283
448
Jarek
0,24,50,66,74,84,90,108,116,134,140,150,158,174,200,224
0,200,74,174,158,90,84,116,150,50,224,24,140,108,66,134
3
16
224
3211471911994853333
448
Jarek
0,26,30,54,56,80,84,110,114,140,144,168,170,194,198,224
0,194,56,198,170,84,114,80,168,26,224,30,110,144,54,140
3
16
224
3535827318958835063
448
Jarek
0,18,20,38,60,78,80,98,126,144,146,164,186,204,206,224
0,206,38,204,164,78,126,80,186,20,224,18,98,144,60,146
3
16
224
3676207202733217613
448
Jarek
0,24,30,54,84,86,108,110,114,116,138,140,170,194,200,224
0,200,110,138,194,54,84,116,114,86,224,24,140,108,30,170
3
16
224
3925937432649879263
448
Jarek
0,14,30,44,66,80,96,110,114,128,144,158,180,194,210,224
0,194,44,210,158,96,114,80,180,14,224,30,110,144,66,128
3
16
224
4072432651991186423
448
Jarek
0,6,14,20,30,36,44,50,174,180,188,194,204,210,218,224
0,218,20,210,194,36,174,44,204,14,224,6,50,180,30,188
3
16
224
858132626286456923
448
Jarek
0,6,50,56,78,84,90,96,128,134,140,146,168,174,218,224
0,218,56,174,146,84,90,128,168,50,224,6,134,96,78,140
3
16
226
1348850943815472523
452
Jarek
0,30,40,60,70,90,96,100,126,130,136,156,166,186,196,226
0,196,70,186,166,90,96,100,156,40,226,30,130,126,60,136
3
16
226
2743915961319802891
452
Jarek
0,18,30,40,48,58,70,88,138,156,168,178,186,196,208,226
0,208,58,186,196,48,138,70,168,40,226,18,88,156,30,178
3
16
226
4386788379691729507
452
Jarek
0,12,30,42,70,82,100,112,114,126,144,156,184,196,214,226
0,214,82,156,196,42,114,100,144,70,226,12,112,126,30,184
3
16
226
5419298383390453957
452
Jarek
0,30,42,64,72,90,94,106,120,132,136,154,162,184,196,226
0,196,94,162,184,72,90,106,132,64,226,30,136,120,42,154
3
16
226
5428670927917516177
452
Jarek
0,6,16,22,84,90,100,106,120,126,136,142,204,210,220,226
0,220,22,210,142,90,120,100,204,16,226,6,106,126,84,136
3
16
226
6205884072061035403
452
Jarek
0,18,48,66,70,88,90,108,118,136,138,156,160,178,208,226
0,208,88,156,178,66,90,118,138,70,226,18,136,108,48,160
3
16
226
75219020808006217
452
Jarek
0,6,36,42,70,76,106,112,114,120,150,156,184,190,220,226
0,220,76,156,190,42,114,106,150,70,226,6,112,120,36,184
3
16
226
983481025217213137
452
Jarek
0,30,40,70,72,84,102,112,114,124,142,154,156,186,196,226
0,196,70,186,154,102,84,112,156,40,226,30,142,114,72,124
3
16
230
1013817764091131963
460
Jarek
0,20,36,56,84,90,104,110,120,126,140,146,174,194,210,230
0,194,56,210,146,120,90,104,174,20,230,36,140,126,84,110
3
16
230
1161621187363787303
460
Jarek
0,14,30,44,60,74,90,104,126,140,156,170,186,200,216,230
0,200,44,216,170,90,126,74,186,14,230,30,104,156,60,140
3
16
230
2746765265140004819
460
Jarek
0,8,12,20,90,98,102,110,120,128,132,140,210,218,222,230
0,218,20,222,140,102,120,98,210,8,230,12,110,132,90,128
3
16
230
2849547638609642513
460
Jarek
0,26,30,56,60,86,90,114,116,140,144,170,174,200,204,230
0,200,56,204,170,90,114,86,174,26,230,30,116,144,60,140
3
16
230
3284360538807735461
460
Jarek
0,12,20,32,78,90,98,110,120,132,140,152,198,210,218,230
0,218,32,210,152,90,120,98,198,20,230,12,110,132,78,140
3
16
230
3808061696393625101
460
Jarek
0,2,30,32,60,62,90,92,138,140,168,170,198,200,228,230
0,200,32,228,170,90,138,62,198,2,230,30,92,168,60,140
3
16
230
5554064482809089477
460
Jarek
0,14,60,66,74,80,90,104,126,140,150,156,164,170,216,230
0,170,74,216,164,126,90,80,156,14,230,60,140,150,66,104
3
16
230
6044277931660903169
460
Jarek
0,20,30,48,50,68,78,98,132,152,162,180,182,200,210,230
0,200,50,210,182,78,132,68,180,20,230,30,98,162,48,152
3
16
232
1949587307274796249
464
Jarek
0,22,42,64,78,90,100,112,120,132,142,154,168,190,210,232
0,190,64,210,154,120,90,100,168,22,232,42,142,132,78,112
3
16
232
2739157114418172739
464
Jarek
0,30,48,70,78,84,100,114,118,132,148,154,162,184,202,232
0,202,100,162,184,78,84,118,132,70,232,30,148,114,48,154
3
16
232
4669370734348914049
464
Jarek
0,10,42,52,60,70,102,112,120,130,162,172,180,190,222,232
0,190,52,222,172,102,120,70,180,10,232,42,112,162,60,130
3
16
232
4769304739639109671
464
Jarek
0,36,60,66,70,96,102,106,126,130,136,162,166,172,196,232
0,196,106,162,172,96,66,130,126,70,232,36,166,102,60,136
3
16
232
4854227454119376679
464
Jarek
0,10,24,34,90,100,108,114,118,124,132,142,198,208,222,232
0,208,34,222,142,114,108,100,198,10,232,24,124,132,90,118
3
16
232
5430518283273066469
464
Jarek
0,22,30,48,52,70,78,100,132,154,162,180,184,202,210,232
0,202,52,210,184,78,132,70,180,22,232,30,100,162,48,154
3
16
232
6455528034823901701
464
Jarek
0,6,66,70,72,76,90,96,136,142,156,160,162,166,226,232
0,226,76,162,166,72,90,136,156,70,232,6,142,96,66,160
3
16
232
942188212207026139
464
Jarek
0,18,24,42,60,78,84,102,130,148,154,172,190,208,214,232
0,214,148,102,208,42,60,154,84,130,232,18,172,78,24,190
3
16
236
1748611243534828247
472
Jarek
0,24,26,50,60,84,86,110,126,150,152,176,186,210,212,236
0,212,50,210,176,84,126,86,186,26,236,24,110,150,60,152
3
16
236
4814184375353087117
472
Jarek
0,12,42,50,54,62,92,104,132,144,174,182,186,194,224,236
0,224,62,186,194,54,132,92,174,50,236,12,104,144,42,182
3
16
236
5172657399101044427
472
Jarek
0,42,50,60,84,92,102,110,126,134,144,152,176,186,194,236
0,194,92,186,176,102,84,110,144,50,236,42,152,126,60,134
3
16
236
597511709585678627
472
Jarek
0,6,20,26,36,42,56,62,174,180,194,200,210,216,230,236
0,230,26,216,200,42,174,56,210,20,236,6,62,180,36,194
3
16
238
1111443560879387521
476
Jarek
0,42,60,66,70,102,108,112,126,130,136,168,172,178,196,238
0,196,112,168,178,102,66,130,126,70,238,42,172,108,60,136
3
16
238
1684157406173732383
476
Jarek
0,4,24,28,60,64,84,88,150,154,174,178,210,214,234,238
0,214,28,234,178,84,150,64,210,4,238,24,88,174,60,154
3
16
238
1722099695477586181
476
Jarek
0,12,28,30,40,42,58,70,168,180,196,198,208,210,226,238
0,226,40,210,208,42,168,58,198,28,238,12,70,180,30,196
3
16
238
2870027314708591981
476
Jarek
0,30,42,58,72,88,100,108,130,138,150,166,180,196,208,238
0,208,88,180,196,72,108,100,150,58,238,30,130,138,42,166
3
16
238
3330362879526931471
476
Jarek
0,18,42,60,70,88,108,112,126,130,150,168,178,196,220,238
0,220,88,168,196,60,108,112,150,70,238,18,130,126,42,178
3
16
238
520330171849862431
476
Jarek
0,12,18,28,30,40,46,58,180,192,198,208,210,220,226,238
0,226,40,210,220,30,180,46,198,28,238,12,58,192,18,208
3
16
238
5990853535865174191
476
Jarek
0,10,42,52,78,88,108,118,120,130,150,160,186,196,228,238
0,196,52,228,160,120,108,88,186,10,238,42,130,150,78,118
3
16
238
6245958363138445849
476
Jarek
0,10,24,34,84,94,108,118,120,130,144,154,204,214,228,238
0,214,34,228,154,108,120,94,204,10,238,24,118,144,84,130
3
16
238
6828326467141699951
476
Jarek
0,12,36,48,70,82,106,118,120,132,156,168,190,202,226,238
0,226,82,168,202,48,120,106,156,70,238,12,118,132,36,190
3
16
242
470383969303868849
484
Jarek
0,12,48,50,60,62,98,110,132,144,180,182,192,194,230,242
0,230,62,192,194,60,132,98,180,50,242,12,110,144,48,182
3
16
242
505751676098073269
484
Jarek
0,12,30,42,60,72,90,102,140,152,170,182,200,212,230,242
0,230,152,102,212,42,60,170,90,140,242,12,182,72,30,200
3
16
242
6276472529120900609
484
Jarek
0,18,42,60,72,90,110,114,128,132,152,170,182,200,224,242
0,224,128,132,200,60,72,152,114,110,242,18,170,90,42,182
3
16
242
854802325142674739
484
Jarek
0,12,42,54,68,80,110,120,122,132,162,174,188,200,230,242
0,230,80,174,200,54,120,110,162,68,242,12,122,132,42,188
3
16
244
1422162363915832963
488
Jarek
0,36,40,48,76,84,88,120,124,156,160,168,196,204,208,244
0,208,76,204,196,84,120,88,168,40,244,36,124,156,48,160
3
16
244
1695576612355403647
488
Jarek
0,24,60,70,84,90,94,114,130,150,154,160,174,184,220,244
0,220,94,174,184,84,90,130,150,70,244,24,154,114,60,160
3
16
244
193747830997541713
488
Jarek
0,18,28,46,60,78,88,106,138,156,166,184,198,216,226,244
0,226,46,216,184,78,138,88,198,28,244,18,106,156,60,166
3
16
244
2877019027302762913
488
Jarek
0,6,54,60,70,76,114,120,124,130,168,174,184,190,238,244
0,238,76,174,190,60,114,124,168,70,244,6,130,120,54,184
3
16
244
2996774562519515923
488
Jarek
0,40,54,66,84,94,106,120,124,138,150,160,178,190,204,244
0,190,94,204,178,120,84,106,150,40,244,54,160,138,66,124
3
16
244
4590873012397692739
488
Jarek
0,12,42,54,70,82,112,120,124,132,162,174,190,202,232,244
0,232,82,174,202,54,120,112,162,70,244,12,124,132,42,190
3
16
244
5229591821941140757
488
Jarek
0,12,42,54,70,82,112,120,124,132,162,174,190,202,232,244
0,232,82,174,202,54,120,112,162,70,244,12,124,132,42,190
3
16
244
593606097226087453
488
Jarek
0,18,40,58,60,78,100,118,126,144,166,184,186,204,226,244
0,226,58,204,184,78,126,100,186,40,244,18,118,144,60,166
3
16
244
5986294670848092703
488
Jarek
0,6,40,46,84,90,114,120,124,130,154,160,198,204,238,244
0,238,46,204,160,90,114,124,198,40,244,6,130,120,84,154
3
16
244
6095019077256106423
488
Jarek
0,18,66,70,84,88,90,108,136,154,156,160,174,178,226,244
0,226,88,174,178,84,90,136,156,70,244,18,154,108,66,160
3
16
244
6218513221849930999
488
Jarek
0,30,40,60,70,90,100,114,130,144,154,174,184,204,214,244
0,214,70,204,184,90,114,100,174,40,244,30,130,144,60,154
3
16
248
2187508254185189591
496
Jarek
0,42,60,66,80,102,108,122,126,140,146,168,182,188,206,248
0,206,122,168,188,102,66,140,126,80,248,42,182,108,60,146
3
16
250
4372961435616492067
500
Jarek
0,6,24,30,70,76,94,100,150,156,174,180,220,226,244,250
0,244,76,180,226,30,150,94,174,70,250,6,100,156,24,220
3
16
250
6632564174879375731
500
Jarek
0,18,60,70,78,88,102,120,130,148,162,172,180,190,232,250
0,232,88,180,190,78,102,130,162,70,250,18,148,120,60,172
3
16
250
6895412835092216299
500
Jarek
0,12,28,40,90,102,118,120,130,132,148,160,210,222,238,250
0,238,40,222,160,102,120,118,210,28,250,12,130,132,90,148
3
16
254
1548843198482789639
508
Jarek
0,30,42,50,72,80,92,122,132,162,174,182,204,212,224,254
0,224,80,204,212,72,132,92,174,50,254,30,122,162,42,182
3
16
254
4571312291409422243
508
Jarek
0,20,24,44,60,80,84,104,150,170,174,194,210,230,234,254
0,230,44,234,194,84,150,80,210,20,254,24,104,174,60,170
3
16
256
183654607712944657
512
Jarek
0,24,42,60,66,84,102,126,130,154,172,190,196,214,232,256
0,232,154,126,214,66,60,172,102,130,256,24,196,84,42,190
3
16
256
1991122514241536437
512
Jarek
0,12,42,54,100,102,112,114,142,144,154,156,202,214,244,256
0,244,112,156,214,54,102,142,144,100,256,12,154,114,42,202
3
16
256
2370832941679372567
512
Jarek
0,12,22,34,90,102,112,124,132,144,154,166,222,234,244,256
0,244,34,234,166,102,132,112,222,22,256,12,124,144,90,154
3
16
256
2901380697433271107
512
Jarek
0,40,42,54,82,94,96,120,136,160,162,174,202,214,216,256
0,214,82,216,202,96,120,94,174,40,256,42,136,162,54,160
3
16
256
3754487283109755883
512
Jarek
0,18,48,66,70,88,118,120,136,138,168,186,190,208,238,256
0,238,88,186,208,66,120,118,168,70,256,18,136,138,48,190
3
16
256
5386876445300866597
512
Jarek
0,30,42,72,82,102,112,124,132,144,154,174,184,214,226,256
0,226,112,174,214,72,102,124,144,82,256,30,154,132,42,184
3
16
256
5502527692824783637
512
Jarek
0,24,46,60,70,84,106,126,130,150,172,186,196,210,232,256
0,232,70,210,196,84,126,106,186,46,256,24,130,150,60,172
3
16
256
724964620942114237
512
Jarek
0,12,42,54,90,102,112,124,132,144,154,166,202,214,244,256
0,244,124,144,214,54,90,154,132,112,256,12,166,102,42,202
3
16
260
1115116970440210853
520
Jarek
0,20,66,84,86,90,104,110,150,156,170,174,176,194,240,260
0,194,86,240,176,150,90,104,174,20,260,66,170,156,84,110
3
16
260
172234415276027219
520
Jarek
0,20,42,48,62,68,90,110,150,170,192,198,212,218,240,260
0,218,62,240,212,90,150,68,198,20,260,42,110,192,48,170
3
16
260
4136769267384711527
520
Jarek
0,26,30,56,84,110,114,120,140,146,150,176,204,230,234,260
0,230,56,234,176,114,120,110,204,26,260,30,140,150,84,146
3
16
260
4949096256248126783
520
Jarek
0,30,36,66,84,110,114,120,140,146,150,176,194,224,230,260
0,230,140,150,224,66,84,146,120,110,260,30,176,114,36,194
3
16
260
576195018029325059
520
Jarek
0,18,60,78,80,98,102,120,140,158,162,180,182,200,242,260
0,242,98,180,200,78,102,140,162,80,260,18,158,120,60,182
3
16
260
970723521259217267
520
Jarek
0,20,24,44,66,86,90,110,150,170,174,194,216,236,240,260
0,236,44,240,194,90,150,86,216,20,260,24,110,174,66,170
3
16
262
1394323695407632369
524
Jarek
0,22,30,52,78,100,108,130,132,154,162,184,210,232,240,262
0,232,52,240,184,108,132,100,210,22,262,30,130,162,78,154
3
16
262
523223163845273719
524
Jarek
0,18,42,60,70,88,112,130,132,150,174,192,202,220,244,262
0,244,88,192,220,60,132,112,174,70,262,18,130,150,42,202
3
16
262
6739882649149671649
524
Jarek
0,18,42,60,90,108,112,130,132,150,154,172,202,220,244,262
0,244,130,150,220,60,90,154,132,112,262,18,172,108,42,202
3
16
262
90658333138283839
524
Jarek
0,40,42,48,82,88,90,130,132,172,174,180,214,220,222,262
0,220,82,222,214,90,132,88,180,40,262,42,130,174,48,172
3
16
266
1662966605198077337
532
Jarek
0,14,42,56,90,104,120,132,134,146,162,176,210,224,252,266
0,224,56,252,176,132,120,104,210,14,266,42,146,162,90,134
3
16
266
3674413084938709037
532
Jarek
0,12,30,42,84,96,114,126,140,152,170,182,224,236,254,266
0,254,152,126,236,42,84,170,114,140,266,12,182,96,30,224
3
16
266
4276861062256425977
532
Jarek
0,24,36,60,66,90,102,126,140,164,176,200,206,230,242,266
0,242,164,126,230,60,66,176,102,140,266,24,200,90,36,206
3
16
266
5388267171062582297
532
Jarek
0,24,30,54,72,96,102,126,140,164,170,194,212,236,242,266
0,242,164,126,236,54,72,170,102,140,266,24,194,96,30,212
3
16
266
65659672001596307
532
Jarek
0,24,60,66,84,90,116,126,140,150,176,182,200,206,242,266
0,242,140,150,206,84,66,176,126,116,266,24,200,90,60,182
3
16
266
6894646511664746207
532
Jarek
0,24,36,60,66,90,102,126,140,164,176,200,206,230,242,266
0,242,164,126,230,60,66,176,102,140,266,24,200,90,36,206
3
16
268
331797868801711441
536
Jarek
0,22,30,52,90,112,120,126,142,148,156,178,216,238,246,268
0,238,52,246,178,120,126,112,216,22,268,30,142,156,90,148
3
16
268
3551657267160637651
536
Jarek
0,30,48,70,78,100,118,120,148,150,168,190,198,220,238,268
0,238,100,198,220,78,120,118,168,70,268,30,148,150,48,190
3
16
268
3561150466636039561
536
Jarek
0,36,42,60,78,96,102,130,138,166,172,190,208,226,232,268
0,232,166,138,226,78,60,172,102,130,268,36,208,96,42,190
3
16
268
392952504670299499
536
Jarek
0,30,48,70,78,100,118,120,148,150,168,190,198,220,238,268
0,238,100,198,220,78,120,118,168,70,268,30,148,150,48,190
3
16
268
573863571825332491
536
Jarek
0,30,42,72,76,106,118,120,148,150,162,192,196,226,238,268
0,238,106,192,226,72,120,118,162,76,268,30,148,150,42,196
3
16
268
7238777982941181361
536
Jarek
0,60,66,70,72,126,130,132,136,138,142,196,198,202,208,268
0,208,130,198,202,126,72,136,138,70,268,60,196,132,66,142
3
16
272
2055009868507385459
544
Jarek
0,42,48,50,90,92,98,132,140,174,180,182,222,224,230,272
0,230,92,222,224,90,132,98,180,50,272,42,140,174,48,182
3
16
272
213896077666130459
544
Jarek
0,20,42,62,90,110,120,132,140,152,162,182,210,230,252,272
0,230,62,252,182,132,120,110,210,20,272,42,152,162,90,140
3
16
272
3617374549635817109
544
Jarek
0,38,42,80,90,102,128,132,140,144,170,182,192,230,234,272
0,230,80,234,182,132,102,128,192,38,272,42,170,144,90,140
3
16
272
5051144543625838907
544
Jarek
0,6,30,36,90,96,120,126,146,152,176,182,236,242,266,272
0,266,152,126,242,36,90,176,120,146,272,6,182,96,30,236
3
16
274
1161374752701595303
548
Jarek
0,18,60,70,78,88,126,130,144,148,186,196,204,214,256,274
0,256,88,204,214,78,126,130,186,70,274,18,148,144,60,196
3
16
274
146740177075293973
548
Jarek
0,30,40,66,70,96,106,136,138,168,178,204,208,234,244,274
0,244,70,234,208,96,138,106,204,40,274,30,136,168,66,178
3
16
274
3069372153044336233
548
Jarek
0,34,66,84,90,100,118,124,150,156,174,184,190,208,240,274
0,208,100,240,190,150,90,118,174,34,274,66,184,156,84,124
3
16
274
3326474066397256183
548
Jarek
0,30,36,40,66,70,76,106,168,198,204,208,234,238,244,274
0,244,70,234,238,66,168,76,204,40,274,30,106,198,36,208
3
16
274
5075754267051808903
548
Jarek
0,6,30,36,84,90,114,120,154,160,184,190,238,244,268,274
0,268,160,120,244,36,84,184,114,154,274,6,190,90,30,238
3
16
274
7002957165963385603
548
Jarek
0,4,60,64,84,88,126,130,144,148,186,190,210,214,270,274
0,214,64,270,190,144,126,88,210,4,274,60,148,186,84,130
3
16
278
2202676356250302461
556
Jarek
0,6,36,42,96,102,132,138,140,146,176,182,236,242,272,278
0,272,146,138,242,42,96,176,132,140,278,6,182,102,36,236
3
16
278
2657370364046282393
556
Jarek
0,14,54,68,90,104,120,134,144,158,174,188,210,224,264,278
0,224,68,264,188,144,120,104,210,14,278,54,158,174,90,134
3
16
278
4303654267764620861
556
Jarek
0,30,36,66,72,102,108,138,140,170,176,206,212,242,248,278
0,248,170,138,242,66,72,176,108,140,278,30,206,102,36,212
3
16
278
4751478919613173733
556
Jarek
0,20,24,44,84,104,108,128,150,170,174,194,234,254,258,278
0,254,44,258,194,108,150,104,234,20,278,24,128,174,84,170
3
16
280
108978576749718703
560
Jarek
0,30,66,70,96,100,114,136,144,166,180,184,210,214,250,280
0,250,100,210,214,96,114,136,180,70,280,30,166,144,66,184
3
16
280
1152127746876591217
560
Jarek
0,10,36,46,84,94,120,130,150,160,186,196,234,244,270,280
0,244,46,270,196,120,150,94,234,10,280,36,130,186,84,160
3
16
280
2381171917182771109
560
Jarek
0,42,60,88,90,102,130,132,148,150,178,190,192,220,238,280
0,238,130,192,220,102,90,148,150,88,280,42,190,132,60,178
3
16
280
3000609520074222541
560
Jarek
0,18,60,78,90,108,112,130,150,168,172,190,202,220,262,280
0,262,130,168,220,78,90,172,150,112,280,18,190,108,60,202
3
16
280
3919037389119084523
560
Jarek
0,30,40,70,84,114,124,126,154,156,166,196,210,240,250,280
0,250,70,240,196,114,126,124,210,40,280,30,154,156,84,166
3
16
280
6232062498622812853
560
Jarek
0,16,30,46,84,100,114,130,150,166,180,196,234,250,264,280
0,250,46,264,196,114,150,100,234,16,280,30,130,180,84,166
3
16
280
632878876266807217
560
Jarek
0,4,60,64,90,94,126,130,150,154,186,190,216,220,276,280
0,220,64,276,190,150,126,94,216,4,280,60,154,186,90,130
3
16
280
7288094093539270027
560
Jarek
0,46,60,84,90,106,130,136,144,150,174,190,196,220,234,280
0,220,106,234,196,144,90,130,174,46,280,60,190,150,84,136
3
16
280
87883992459664963
560
Jarek
0,46,60,84,90,106,130,136,144,150,174,190,196,220,234,280
0,220,106,234,196,144,90,130,174,46,280,60,190,150,84,136
3
16
282
1023267524341869299
564
Jarek
0,30,48,78,84,114,120,132,150,162,168,198,204,234,252,282
0,234,78,252,198,132,120,114,204,30,282,48,162,168,84,150
3
16
282
4367495951483424229
564
Jarek
0,12,18,30,42,54,60,72,210,222,228,240,252,264,270,282
0,264,30,270,240,60,210,54,252,12,282,18,72,228,42,222
3
16
284
135636084688856267
568
Jarek
0,42,50,60,92,102,110,132,152,174,182,192,224,234,242,284
0,242,92,234,224,102,132,110,192,50,284,42,152,174,60,182
3
16
284
2435735862630081383
568
Jarek
0,30,36,50,66,80,86,116,168,198,204,218,234,248,254,284
0,254,80,234,248,66,168,86,204,50,284,30,116,198,36,218
3
16
284
2466954089329721129
568
Jarek
0,12,42,54,90,102,132,140,144,152,182,194,230,242,272,284
0,272,152,144,242,54,90,182,132,140,284,12,194,102,42,230
3
16
284
3684541435048485383
568
Jarek
0,30,36,50,66,80,86,116,168,198,204,218,234,248,254,284
0,254,80,234,248,66,168,86,204,50,284,30,116,198,36,218
3
16
284
4276130160796247363
568
Jarek
0,30,56,78,86,108,120,134,150,164,176,198,206,228,254,284
0,254,86,228,206,108,120,134,198,56,284,30,164,150,78,176
3
16
284
501455933430730433
568
Jarek
0,18,56,60,74,78,116,134,150,168,206,210,224,228,266,284
0,266,74,228,224,78,150,116,210,56,284,18,134,168,60,206
3
16
284
5309126148402591029
568
Jarek
0,12,42,54,60,72,102,114,170,182,212,224,230,242,272,284
0,272,182,114,242,54,60,212,102,170,284,12,224,72,42,230
3
16
286
2529635432547452107
572
Jarek
0,40,42,82,90,114,130,132,154,156,172,196,204,244,246,286
0,244,82,246,196,132,114,130,204,40,286,42,172,156,90,154
3
16
286
2959720113369490771
572
Jarek
0,28,48,60,76,88,108,136,150,178,198,210,226,238,258,286
0,238,76,258,226,108,150,88,210,28,286,48,136,198,60,178
3
16
286
369819834773439997
572
Jarek
0,46,66,84,90,112,130,136,150,156,174,196,202,220,240,286
0,220,112,240,202,150,90,130,174,46,286,66,196,156,84,136
3
16
286
3901689256438869307
572
Jarek
0,24,46,66,70,90,112,136,150,174,196,216,220,240,262,286
0,262,70,240,220,90,150,112,216,46,286,24,136,174,66,196
3
16
286
605112013859711227
572
Jarek
0,30,42,72,84,114,126,130,156,160,172,202,214,244,256,286
0,256,160,156,244,72,84,172,126,130,286,30,202,114,42,214
3
16
286
64357903328718397
572
Jarek
0,6,10,16,126,132,136,142,144,150,154,160,270,276,280,286
0,280,16,276,160,132,144,136,270,10,286,6,142,150,126,154
3
16
286
973289520281889157
572
Jarek
0,42,54,70,96,112,120,124,162,166,174,190,216,232,244,286
0,244,112,216,232,96,120,124,174,70,286,42,166,162,54,190
3
16
290
2779503923057699879
580
Jarek
0,18,42,60,90,108,132,140,150,158,182,200,230,248,272,290
0,272,158,150,248,60,90,182,132,140,290,18,200,108,42,230
3
16
290
4293822215103776063
580
Jarek
0,30,36,66,90,120,126,134,156,164,170,200,224,254,260,290
0,260,164,156,254,66,90,170,126,134,290,30,200,120,36,224
3
16
290
5455203667702742753
580
Jarek
0,30,44,74,90,120,126,134,156,164,170,200,216,246,260,290
0,260,74,246,200,120,126,134,216,44,290,30,164,156,90,170
3
16
290
581991362272134047
580
Jarek
0,24,60,80,84,104,126,140,150,164,186,206,210,230,266,290
0,266,104,210,230,84,126,140,186,80,290,24,164,150,60,206
3
16
290
7049872471938858473
580
Jarek
0,60,66,74,90,126,134,140,150,156,164,200,216,224,230,290
0,230,134,216,224,126,90,140,156,74,290,60,200,150,66,164
3
16
292
2206032236894340637
584
Jarek
0,6,66,70,72,76,136,142,150,156,216,220,222,226,286,292
0,286,76,222,226,72,150,136,216,70,292,6,142,156,66,220
3
16
296
1922678141706492617
592
Jarek
0,14,30,44,96,110,126,140,156,170,186,200,252,266,282,296
0,266,44,282,200,126,156,110,252,14,296,30,140,186,96,170
3
16
296
3300491071530767057
592
Jarek
0,6,20,26,126,132,144,146,150,152,164,170,270,276,290,296
0,290,26,276,170,132,144,146,270,20,296,6,152,150,126,164
3
16
296
35384185528375907
592
Jarek
0,26,60,84,86,110,126,144,152,170,186,210,212,236,270,296
0,236,86,270,212,144,126,110,210,26,296,60,170,186,84,152
3
16
296
5882949102848933627
592
Jarek
0,30,42,72,110,114,140,144,152,156,182,186,224,254,266,296
0,266,140,186,254,72,114,152,156,110,296,30,182,144,42,224
3
16
296
6515642224149647357
592
Jarek
0,14,30,44,96,110,126,140,156,170,186,200,252,266,282,296
0,266,44,282,200,126,156,110,252,14,296,30,140,186,96,170
3
16
296
6583373692724467757
592
Jarek
0,30,56,66,86,96,122,144,152,174,200,210,230,240,266,296
0,266,86,240,230,96,144,122,210,56,296,30,152,174,66,200
3
16
296
7102186209897030767
592
Jarek
0,42,50,60,92,102,110,144,152,186,194,204,236,246,254,296
0,254,92,246,236,102,144,110,204,50,296,42,152,186,60,194
3
16
296
7404329590632669491
592
Jarek
0,18,38,56,90,108,128,146,150,168,188,206,240,258,278,296
0,278,56,258,206,108,150,128,240,38,296,18,146,168,90,188
3
16
296
839844930382762247
592
Jarek
0,54,60,72,110,114,126,132,164,170,182,186,224,236,242,296
0,242,164,186,236,114,72,170,132,110,296,54,224,126,60,182
3
16
298
117243928896938071
596
Jarek
0,16,30,46,96,112,126,142,156,172,186,202,252,268,282,298
0,268,46,282,202,126,156,112,252,16,298,30,142,186,96,172
3
16
298
2071769060449445971
596
Jarek
0,60,66,70,102,126,130,136,162,168,172,196,228,232,238,298
0,238,130,228,232,126,102,136,168,70,298,60,196,162,66,172
3
16
298
266628508388015611
596
Jarek
0,6,22,28,60,66,82,88,210,216,232,238,270,276,292,298
0,292,28,276,238,66,210,82,270,22,298,6,88,216,60,232
3
16
298
4319730598361536231
596
Jarek
0,18,42,58,60,76,100,118,180,198,222,238,240,256,280,298
0,280,76,240,256,60,180,100,222,58,298,18,118,198,42,238
3
16
298
5797097809523551351
596
Jarek
0,28,72,78,100,106,120,148,150,178,192,198,220,226,270,298
0,226,100,270,220,150,120,106,198,28,298,72,178,192,78,148
3
16
298
6092270314536820741
596
Jarek
0,12,48,60,78,90,126,138,160,172,208,220,238,250,286,298
0,286,172,138,250,60,78,208,126,160,298,12,220,90,48,238
3
16
302
4298579701630856771
604
Jarek
0,12,30,42,110,122,140,150,152,162,180,192,260,272,290,302
0,290,122,192,272,42,150,140,180,110,302,12,152,162,30,260
3
16
302
4996547000548290659
604
Jarek
0,8,42,50,120,128,132,140,162,170,174,182,252,260,294,302
0,260,50,294,182,162,132,128,252,8,302,42,170,174,120,140
3
16
302
6520120848596434049
604
Jarek
0,18,42,50,60,68,92,110,192,210,234,242,252,260,284,302
0,284,68,252,260,60,192,92,234,50,302,18,110,210,42,242
3
16
302
7047060358716199097
604
Jarek
0,26,30,56,66,92,96,122,180,206,210,236,246,272,276,302
0,272,56,276,236,96,180,92,246,26,302,30,122,210,66,206
3
16
302
7214261446565240399
604
Jarek
0,2,48,50,120,122,132,134,168,170,180,182,252,254,300,302
0,254,50,300,182,168,132,122,252,2,302,48,170,180,120,134
3
16
304
2046668965721502079
608
Jarek
0,42,60,70,102,112,130,132,172,174,192,202,234,244,262,304
0,262,112,234,244,102,132,130,192,70,304,42,172,174,60,202
3
16
304
3477773609348442967
608
Jarek
0,30,40,70,84,114,124,150,154,180,190,220,234,264,274,304
0,274,70,264,220,114,150,124,234,40,304,30,154,180,84,190
3
16
304
4009988039455789603
608
Jarek
0,18,60,70,78,88,130,148,156,174,216,226,234,244,286,304
0,286,88,234,244,78,156,130,216,70,304,18,148,174,60,226
3
16
304
5266069044156294013
608
Jarek
0,30,54,70,84,100,124,150,154,180,204,220,234,250,274,304
0,274,100,234,250,84,150,124,204,70,304,30,154,180,54,220
3
16
304
994431411078636463
608
Jarek
0,18,30,48,70,88,100,118,186,204,216,234,256,274,286,304
0,286,88,234,274,48,186,100,216,70,304,18,118,204,30,256
3
16
310
1249673986036931797
620
Jarek
0,6,60,66,84,90,144,150,160,166,220,226,244,250,304,310
0,304,166,150,250,66,84,220,144,160,310,6,226,90,60,244
3
16
310
1810044612251839399
620
Jarek
0,22,30,52,90,112,120,142,168,190,198,220,258,280,288,310
0,280,52,288,220,120,168,112,258,22,310,30,142,198,90,190
3
16
310
6335241952834452079
620
Jarek
0,10,42,48,52,58,90,100,210,220,252,258,262,268,300,310
0,268,52,300,262,90,210,58,258,10,310,42,100,252,48,220
3
16
312
4151299905250340849
624
Jarek
0,12,30,42,102,114,132,144,168,180,198,210,270,282,300,312
0,282,42,300,210,132,168,114,270,12,312,30,144,198,102,180
3
16
314
1133184478443607433
628
Jarek
0,6,20,26,78,84,98,104,210,216,230,236,288,294,308,314
0,308,26,294,236,84,210,98,288,20,314,6,104,216,78,230
3
16
314
1171794689385255863
628
Jarek
0,30,48,78,96,126,140,144,170,174,188,218,236,266,284,314
0,284,170,174,266,78,96,188,144,140,314,30,218,126,48,236
3
16
314
471417195780846839
628
Jarek
0,42,60,80,102,122,132,140,174,182,192,212,234,254,272,314
0,272,122,234,254,102,132,140,192,80,314,42,182,174,60,212
3
16
314
6396245042791103567
628
Jarek
0,42,72,90,110,114,132,152,162,182,200,204,224,242,272,314
0,272,152,204,242,114,90,182,162,110,314,42,224,132,72,200
3
16
314
6405764357124778559
628
Jarek
0,30,42,72,102,132,140,144,170,174,182,212,242,272,284,314
0,284,170,174,272,72,102,182,144,140,314,30,212,132,42,242
3
16
316
102543159231677887
632
Jarek
0,30,46,76,84,114,130,156,160,186,202,232,240,270,286,316
0,286,76,270,232,114,156,130,240,46,316,30,160,186,84,202
3
16
316
437180789975621413
632
Jarek
0,18,28,46,60,78,88,106,210,228,238,256,270,288,298,316
0,298,46,288,256,78,210,88,270,28,316,18,106,228,60,238
3
16
316
471298937749607257
632
Jarek
0,24,30,42,54,66,72,96,220,244,250,262,274,286,292,316
0,292,244,96,286,54,42,250,72,220,316,24,274,66,30,262
3
16
316
656718384132837967
632
Jarek
0,24,70,72,94,96,142,150,166,174,220,222,244,246,292,316
0,292,94,246,244,96,150,142,222,70,316,24,166,174,72,220
3
16
320
1151506862162394281
640
Jarek
0,20,42,62,78,98,120,140,180,200,222,242,258,278,300,320
0,278,62,300,242,120,180,98,258,20,320,42,140,222,78,200
3
16
320
4071507019363633589
640
Jarek
0,42,78,90,110,120,132,152,168,188,200,210,230,242,278,320
0,278,152,210,242,120,90,188,168,110,320,42,230,132,78,200
3
16
320
5710290893708538971
640
Jarek
0,12,30,42,80,92,110,122,198,210,228,240,278,290,308,320
0,308,92,240,290,42,198,110,228,80,320,12,122,210,30,278
3
16
322
1372774196925859801
644
Jarek
0,6,30,36,126,132,156,160,162,166,190,196,286,292,316,322
0,316,166,162,292,36,126,190,156,160,322,6,196,132,30,286
3
16
322
4547410142449237069
644
Jarek
0,30,70,84,100,114,138,154,168,184,208,222,238,252,292,322
0,292,100,252,238,114,138,154,222,70,322,30,184,168,84,208
3
16
322
53517627231758089
644
Jarek
0,30,70,100,108,114,138,144,178,184,208,214,222,252,292,322
0,292,100,252,214,138,114,178,222,70,322,30,208,144,108,184
3
16
322
78083002410887917
644
Jarek
0,46,60,66,106,112,126,150,172,196,210,216,256,262,276,322
0,262,106,276,256,126,150,112,216,46,322,60,172,210,66,196
3
16
326
7227342547726952747
652
Jarek
0,24,66,90,116,120,140,144,182,186,206,210,236,260,302,326
0,302,140,210,260,90,120,182,186,116,326,24,206,144,66,236
3
16
328
1447873525247482441
656
Jarek
0,10,42,52,66,76,108,118,210,220,252,262,276,286,318,328
0,286,52,318,262,108,210,76,276,10,328,42,118,252,66,220
3
16
328
4563371727471654439
656
Jarek
0,24,70,90,94,114,144,160,168,184,214,234,238,258,304,328
0,304,94,258,238,114,144,160,234,70,328,24,184,168,90,214
3
16
328
5088634411611680821
656
Jarek
0,12,40,52,126,138,150,162,166,178,190,202,276,288,316,328
0,316,52,288,202,138,150,166,276,40,328,12,178,162,126,190
3
16
332
3636409035415400477
664
Jarek
0,56,60,90,116,126,146,150,182,186,206,216,242,272,276,332
0,272,116,276,242,150,126,146,216,56,332,60,206,186,90,182
3
16
332
6868687010299798889
664
Jarek
0,2,60,62,102,104,162,164,168,170,228,230,270,272,330,332
0,272,62,330,230,162,168,104,270,2,332,60,164,228,102,170
3
16
334
5561040821824457257
668
Jarek
0,22,30,52,120,142,150,162,172,184,192,214,282,304,312,334
0,304,52,312,214,150,162,142,282,22,334,30,172,192,120,184
3
16
338
2443098533675855513
676
Jarek
0,20,30,50,78,98,108,128,210,230,240,260,288,308,318,338
0,308,50,318,260,108,210,98,288,20,338,30,128,240,78,230
3
16
338
4281439550083215131
676
Jarek
0,8,42,50,78,86,120,128,210,218,252,260,288,296,330,338
0,296,50,330,260,120,210,86,288,8,338,42,128,252,78,218
3
16
338
5095550974094646059
676
Jarek
0,14,30,44,114,128,144,158,180,194,210,224,294,308,324,338
0,308,44,324,224,144,180,128,294,14,338,30,158,210,114,194
3
16
338
5360825217429203801
676
Jarek
0,42,60,96,102,138,140,156,182,198,200,236,242,278,296,338
0,296,182,198,278,102,96,200,156,140,338,42,242,138,60,236
3
16
338
6265903759874222141
676
Jarek
0,56,60,66,116,122,126,156,182,212,216,222,272,278,282,338
0,278,116,282,272,126,156,122,222,56,338,60,182,216,66,212
3
16
338
6807902690803755911
676
Jarek
0,18,38,56,90,108,128,146,192,210,230,248,282,300,320,338
0,320,56,300,248,108,192,128,282,38,338,18,146,210,90,230
3
16
338
7085130922363496141
676
Jarek
0,38,42,80,90,128,132,168,170,206,210,248,258,296,300,338
0,296,80,300,248,132,168,128,258,38,338,42,170,210,90,206
3
16
340
2465521514662779829
680
Jarek
0,60,70,72,130,132,138,142,198,202,208,210,268,270,280,340
0,280,130,270,268,132,138,142,210,70,340,60,202,198,72,208
3
16
340
500155744849852957
680
Jarek
0,24,66,90,120,130,144,154,186,196,210,220,250,274,316,340
0,316,154,210,274,90,120,196,186,130,340,24,220,144,66,250
3
16
340
580958830135976893
680
Jarek
0,30,54,84,100,130,154,156,184,186,210,240,256,286,310,340
0,310,130,240,286,84,156,154,210,100,340,30,184,186,54,256
3
16
344
4340182020207507953
688
Jarek
0,48,50,90,98,138,140,156,188,204,206,246,254,294,296,344
0,296,98,294,254,138,156,140,246,50,344,48,188,204,90,206
3
16
346
3038165674182487351
692
Jarek
0,18,48,66,70,88,118,136,210,228,258,276,280,298,328,346
0,328,88,276,298,66,210,118,258,70,346,18,136,228,48,280
3
16
346
4446407233901388037
692
Jarek
0,6,66,72,84,90,150,156,190,196,256,262,274,280,340,346
0,340,196,156,280,72,84,256,150,190,346,6,262,90,66,274
3
16
346
4651594019187640867
692
Jarek
0,42,70,102,112,132,144,172,174,202,214,234,244,276,304,346
0,304,112,276,244,144,132,172,234,70,346,42,214,174,102,202
3
16
352
2326497647118740959
704
Jarek
0,48,70,114,118,120,162,168,184,190,232,234,238,282,304,352
0,304,118,282,238,162,120,184,234,70,352,48,232,168,114,190
3
16
352
4970537363787854701
704
Jarek
0,30,36,66,126,156,160,162,190,192,196,226,286,316,322,352
0,322,190,192,316,66,126,196,162,160,352,30,226,156,36,286
3
16
352
6142863083364710359
704
Jarek
0,18,70,72,88,90,142,160,192,210,262,264,280,282,334,352
0,334,88,282,280,90,192,142,264,70,352,18,160,210,72,262
3
16
356
1153390150252542617
712
Jarek
0,24,60,84,90,114,150,174,182,206,242,266,272,296,332,356
0,332,206,174,296,84,90,242,150,182,356,24,266,114,60,272
3
16
356
1790884813919768417
712
Jarek
0,36,56,90,92,126,146,174,182,210,230,264,266,300,320,356
0,320,92,300,266,126,174,146,264,56,356,36,182,210,90,230
3
16
356
4088942087717211827
712
Jarek
0,12,60,72,114,126,170,174,182,186,230,242,284,296,344,356
0,344,182,186,296,72,114,230,174,170,356,12,242,126,60,284
3
16
358
2639259096347485153
716
Jarek
0,24,34,58,90,114,124,148,210,234,244,268,300,324,334,358
0,334,58,324,268,114,210,124,300,34,358,24,148,234,90,244
3
16
358
3565892726219917759
716
Jarek
0,54,70,84,124,138,150,154,204,208,220,234,274,288,304,358
0,304,124,288,274,138,150,154,234,70,358,54,208,204,84,220
3
16
358
904317321628148641
716
Jarek
0,6,30,36,126,132,156,162,196,202,226,232,322,328,352,358
0,352,202,162,328,36,126,226,156,196,358,6,232,132,30,322

(*) magic costant=prime*4+magic

Here are the best solution arrived after the ending of the competition:

Task
K-tuple
Diameter
Prime
Magic(*)
Name

(*) magic costant=prime*4+magic

Ranking for K-Tuples of Primes

This is the Ranking of the K-Tuples of Primes competition:

Pos
User
Points
T1
T2
T3
Last Improvement
1
Jarek
368
29
5
334
17/11/2015
2
Natalia Makarova
5
4
1
02/10/2015

Primes k-tuple

Competition #4

This competition is organized by Макарова Наталия (Natalia Makarova)

Definitions

Definition 1:

A prime k-tuple is a finite collection of values (p + a1, p + a2, p + a3, …, p + ak), where p, p + a1, p + a2, p + a3, …, p + ak are prime numbers, (a1, a2, a3, …, ak) are pattern. Typically the first value in the pattern is 0 and the rest are distinct positive even numbers.

We consider the k-tuple, where p + a1, p + a2, p + a3, …, p + ak are consecutive primes.

Definition 2:

k-tuple (p + a1, p + a2, p + a3, …, p + a [k / 2], p + a [k / 2+1], …, p + a [k-2], p + a [k-1], p + ak) for k even, is called symmetric, if the following condition is satisfied:
a1 + ak = a2 + a[k-1] = a3 + a[k-2] = … = a[k/2] + a[k/2+1]

Example: symmetric 8-tuple

(17 + 0, 17 + 2, 17 + 6, 17 + 12, 17 + 14, 17 + 20, 17 + 24, 17 + 26)

Shortened we write this:

17: 0, 2, 6, 12, 14, 20, 24, 26

Definition 3:

k-tuple (p + a1, p + a2, p + a3, …, p + a [(k-1) / 2], p + a [(k-1) / 2 + 1], p + a [(k-1) / 2 + 2], …, p + a [k-2], p + a [k-1], p + ak) for k odd called symmetric, if the following condition is satisfied:
a1 + ak = a2 + a[k-1] = a3 +a [k-2] =…= a[(k-1)/2] + a[(k-1)/2+2] = 2 a[(k-1)/2+1]

Example: symmetric 5-tuple

18713: 0, 6, 18, 30, 36

Definition 4:

The diameter d of k-tuple is the difference of its largest and smallest elements.

Example: 8-tuple

17: 0, 2, 6, 12, 14, 20, 24, 26

It has a diameter d = 26.

Definition 5:

A pandiagonal magic square is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the square, also add up to the magic constant.

The Contest

In the contest is required to compete for those tasks:

Task 1
Required to find k-tuples with the minimal value p:
for an even k > 24; for odd k > 15.

Example

15-tuple, p=3945769040698829 (minimal)
3945769040698829: 0, 12, 18, 42, 102, 138, 180, 210, 240, 282, 318, 378, 402, 408, 420

Task 2
Required to find k-tuples with a minimal diameter d:
for an even k > 10; for odd k > 13.

Example
8-tuple with a minimal diameter d = 26

17: 0, 2, 6, 12, 14, 20, 24, 26

Task 3
Required to find the 16-tuple, the elements of which it is possible to make pandiagonal magic square of order 4 with magic constant S as: 94615738903617540 < S < 29643562211780078520 Example 16-tuple

23653934725904299: 0, 12, 22, 34, 48, 60, 70, 82, 90, 102, 112, 124, 138, 150, 160, 172

pandiagonal magic square

23653934725904299+
0  160   60  124
82  102   22  138
112   48  172   12
150   34   90   70

S=94615738903617540

Rule:

Prime numbers can contain no more than 100 digits.

In tasks 1 and 2 k <= 50.

Format of solution

For every task the first line is the number of task you are entering: so 1, 2 or 3. After there are those lines according to the tasks you are inserting.

In tasks 1 and 2

k-tuple is represented as

p: a1, a2, a3, …, ak

Example

18713: 0, 6, 18, 30, 36

In task 3
it is 16-tuple and pandiagonal magic square of order 4, composed of the elements of the tuple.

Example

23653934725904299: 0, 12, 22, 34, 48, 60, 70, 82, 90, 102, 112, 124, 138, 150, 160, 172
0, 160, 60, 124, 82, 102, 22, 138, 112, 48, 172, 12, 150, 34, 90, 70

Scoring

The contestant receives one point for every solution to tasks 1 and 3.
For each k in task 2 one point counted towards only those participants, who will have a minimum diameter d.

The Prize

If two or more contestants have equal number of points, the winner will be the entrant who submitted solutions ahead of other contestants.
The winner will receive a prize of 5,000 rubles.
If the winner is not from Russia, the prize will be paid in US dollars at the official exchange rate on the day ending of the contest.

Thanks

We thanks  Wolfram Alpha as we use their API for testing the primality of the given big numbers.

Links

[1] https://en.wikipedia.org/wiki/Prime_k-tuple
[2] https://en.wikipedia.org/wiki/Pandiagonal_magic_square
[3] http://oeis.org/A256234
[4] http://oeis.org/A081235
[5] http://oeis.org/A055380
[6] http://oeis.org/A055382
[7] http://oeis.org/A175309
[8] http://www.primepuzzles.net/problems/prob_060.htm
[9] http://dxdy.ru/topic93581.html
[10] http://dxdy.ru/topic87170.html

Result for Ultra Magic Squares of prime numbers

The competition Ultra Magic Squares of prime numbers is over.

Thanks to all people that have partecipate.

The result is in this table:

Task
Dim.
User
Magic
Assoc.
Result
0
7
Natalia Makarova
4613
1318
227 617 677 431 1217 1307 137
1259 827 1061 509 521 167 269
347 929 1187 17 557 719 857
89 479 29 659 1289 839 1229
461 599 761 1301 131 389 971
1049 1151 797 809 257 491 59
1181 11 101 887 641 701 1091
0
8
Natalia Makarova
2040
510
241 199 409 467 47 79 359 239
421 137 7 53 487 179 317 439
31 281 347 353 227 277 127 397
449 197 109 379 491 337 11 67
443 499 173 19 131 401 313 61
113 383 233 283 157 163 229 479
71 193 331 23 457 503 373 89
271 151 431 463 43 101 311 269
0
9
Natalia Makarova
13059
2902
2843 149 1973 2039 971 1031 2141 293 1619
2063 563 1811 113 2549 1601 2633 1721 5
2393 503 1613 2381 1193 41 2411 101 2423
173 2711 2879 773 1583 1493 461 443 2543
569 83 821 311 1451 2591 2081 2819 2333
359 2459 2441 1409 1319 2129 23 191 2729
479 2801 491 2861 1709 521 1289 2399 509
2897 1181 269 1301 353 2789 1091 2339 839
1283 2609 761 1871 1931 863 929 2753 59
0
10
Natalia Makarova
46150
9230
9133 2017 1069 1669 3583 4999 8629 1489 6343 7219 5209 4219 5101 6793 43 6841 7951 2683 5557 1753 7603 7369 6883 8059 8863 919 1471 769 4111 103 163 8179 4723 4243 4663 5869 1741 6553 1723 8293 2833 4051 709 1021 7177 5701 1993 6991 8101 7573 1657 1129 2239 7237 3529 2053 8209 8521 5179 6397 937 7507 2677 7489 3361 4567 4987 4507 1051 9067 9127 5119 8461 7759 8311 367 1171 2347 1861 1627 7477 3673 6547 1279 2389 9187 2437 4129 5011 4021 2011 2887 7741 601 4231 5647 7561 8161 7213 97

Here are the best solution arrived after the ending of the competition:

Task
Dim.
User
Magic
Assoc.
Result

Ranking for Ultra Magic Squares of prime numbers

This is the Ranking of the “Ultra Magic Squares of prime numbers” competition:

Pos
User
Points
Last Improvement
1
Natalia Makarova
4.0000
28/05/2015
2
primesmagicgames
2.3115
01/03/2015

Ultra Magic Squares of prime numbers

Competition #3

This competition is organized by Макарова Наталия (Natalia Makarova)

Definitions

Definition 1:

Magic square is called ultra magic square, if it is both associative (center symmetric) and pandiagonal.

Ultra magic squares exist for orders n > 4.

The Contest

In the contest is required to built ultra magic squares of order 7 – 16 of distinct primes.

Example

n = 5
 
 113 1151 1229  911  101
 839  521   41 1013 1091
 941  953  701  449  461
 311  389 1361  881  563
1301  491  173  251 1289

S=3505

This is the minimal solution for n = 5.

Known as a minimal solution for n = 6 (author M. Alekseyev)

103  59 163 233 139 293
229 257 307 131  13  53
283  17  67 173 181 269
 61 149 157 263 313  47
277 317 199  23  73 101
 37 191  97 167 271 227

S=990

Rule:

For each order n = 7 – 16 you can imagine several solutions with magic constants S1 <S2 <S3 …

Known solutions:

n = 7, S = 4613 (author N. Makarova)
n = 8, S = 2640 (author N. Makarova)
n = 9, S = 24237 (author A. Chernov)

Contestant shall not be deemed a winner, if he would submit only solutions with known magic constants

Format of solution

The solution is represented in the form:

n: a (1), a (2), a (3), …, a (n^2)

Example:

5:113,1151,1229,911,101,839,521,41,1013,1091,941,953,701,449,461,311,389,1361,881,563,1301,491,173,251,1289

Scoring

Contestant receives for every n the score: Smin/S, where

Smin – the minimal magic constant of solution in the contest;

S –  the minimal magic constant of solution by contestant.

 

The Prize

Winner receives a prize of 3000 rubles.

If the winner is not from Russia, the prize will be paid in $USA at the official rate on the day of end the contest.

Organizers N. Makarova and S. Tognon can participate in the contest, but does not receive the prize in case of winning.

 

Result for Pandiagonal Squares of Consecutive Primes

The competiotion was termanated without inserted result and with no winner (the two values in ranking are just testing result).

Remember that you can still try to find new solution for the problems (without price) and in that cases the result will be presented here.

Thanks

Ranking for Pandiagonal Squares of Consecutive Primes

This is the Ranking of the “Pandiagonal Squares of Consecutive Primes” competition:

Pos
User
Points
Last Improvement
1
primesmagicgames
3
16/12/2014
2
Natalia Makarova
1
23/09/2014

Pandiagonal Squares of Consecutive Primes

Competition #2

This competition is organized by Макарова Наталия (Natalia Makarova)

Definitions

Definition 1: Pandiagonal magic squares

Magic square is called pandiagonal, if the sum of the numbers in each of the broken diagonal is the magic constant of the square.

For example – pandiagonal square of order 8 of prime numbers:

  5   13  463  293  443  283   53   31
313  379   71   73   89   79  191  389
 23  211  167  331  199  353  149  151
449  239   41   97   59  127  349  223
 19   47  439  269  457  317   29    7
241  383  109  103   17   83  229  419
101  139  181  311  277  281  163  131
433  173  113  107   43   61  421  233

Magic constant of the square S = 1584

The Contest

In the contest is required to construct pandiagonal squares of consecutive primes.
It is necessary to solve the problem for the orders n = 4 – 10.

Rule:

Basic rule: solutions with known magic constants are not accepted.
n=4: Required to find solutions with magic constant S > 682775764735680
n=6: Required to find solutions with magic constant S > 930

Known solutions

  1. n = 4 (minimal, author Max Alekseyev)
    170693941183817+
    0     116  132  164 
    162 134   30    86 
    74   42     206  90 
    176 120   44    72
    
    S=682775764735680
    

    See
    http://oeis.org/A245721
    http://dxdy.ru/post891839.html#p891839

  2. n=4 (authors J. Wroblewski and J. K. Andersen)
    320572022166380833+
    0   88  16  84
    76 24  60 28
    78 10  94 6
    34 66 18  70
    
    S = 1282288088665523520
    

    See
    http://dxdy.ru/post751928.html#p751928
    http://www.primepuzzles.net/conjectures/conj_042.htm

    Required to find solutions with magic constant S > 682775764735680.

  3. n = 6 (minimal)
    67+
    0 126 4 184 42 172
    72 166 46 114 90 40
    174 30 124 22 96 82
    6 100 64 162 84 112
    132 36 160 34 60 106
    144 70 130 12 156 16
    
    S=930
    

    See
    http://oeis.org/A073523

    Required to find solutions with magic constant S > 930.

  4. For the orders n = 5, 7 – 10 unknown solutions.

Format of solution

Solutions should be introduced in a normalized form, plus dimension.
The first line must contains the dimension of problem (4, 5..10)
The second the normalized form of solution.
For example:

6
67: 0,126,4,184,42,172,72,166,46,114,90,40,174,30,124,22,96,82,6,100,64,162,84,112,132,36,160,34,60,106,144,70,130,12,156,16

Scoring

Contestant receives one point for each new decision.
Solutions with the same magic constant are considered equal, even if they are not isomorphic.

The Prize

Instituted a price to the participant who has won first place – $ 100 USA.
In cases of more people will have the same final score for the first positons, the price goes to the one that makes that score before the other.
If the winner will be the contestant from Russia, he will receive a prize in rubles at the official exchange rate on the last day of the competition.

The competition was taken from 23/09/2014 to 23/12/2014 but due to no winners (no one introduce a valid solution), it is now extended just for fun and not for price.

Help links

  1. https://ru.wikipedia.org/wiki/Магический_квадрат
  2. https://en.wikipedia.org/wiki/Magic_square
  3. B. Rosser and R. J. Walker. The algebraic theory of diabolic magic squares
    http://yadi.sk/d/tl-_Ab-o5AYhS
  4. N. Makarova. Unconventional pandiagonal squares of primes
    http://www.natalimak1.narod.ru/panpr.htm
    http://www.natalimak1.narod.ru/pannetr.htm
    http://www.natalimak1.narod.ru/pannetr2.htm
  5. Contest “Pandiagonal Magic Squares of Prime Numbers” (from Al Zimmermann)
    http://www.azspcs.net/Contest/PandiagonalMagicSquares/FinalReport
  6. The smallest magic constant for any n x n magic square made from consecutive primes
    http://oeis.org/A073520
  7. The smallest magic constant of pan-diagonal magic squares which consist of distinct prime numbers
    http://oeis.org/A179440

Result for Magic Cubes of Prime Numbers

The competition Magic Cubes of Prime Numbers is over.

Thanks to all people that have partecipate.

The winner is Natalia, but price goes to Dmitry

The result is in this table:

Task
Dim.
User
Magic
Assoc.
Result
1
4
Natalia Makarova
780
0
17 7 439 317
139 487 107 47
331 59 167 223
293 227 67 193
19 61 281 419
191 199 179 211
337 347 43 53
233 173 277 97
283 443 23 31
421 83 127 149
3 103 433 241
73 151 197 359
461 269 37 13
29 11 367 373
109 271 137 263
181 229 239 131
1
5
Dmitry Ezhov
5515
0
1063 1811 1109 331 1201 1171 673 1583 1361 727 479 1009 1031 1879 1117 2531 971 383 1367 263 271 1051 1409 577 2207 2011 373 739 1709 683 617 2749 1531 109 509 619 281 1697 1597 1321 797 811 839 1447 1621 1471 1301 709 653 1381 557 647 241 2239 1831 163 1637 1667 307 1741 2161 571 1103 773 907 761 1723 223 1999 809 1873 937 2281 197 227 1223 397 2693 1123 79 2267 97 631 1609 911 587 3221 1091 53 563 977 1663 13 389 2473 461 137 1087 2341 1489 661 2287 733 113 1721 1297 359 103 2129 1627 1669 433 593 1213 1607 449 347 4057 313 349 1439 2089 29 1747 211
1
6
Natalia Makarova
6030
0
13 59 1319 1439 1987 1213
1811 479 397 257 1759 1327
1973 383 839 1277 1091 467
1103 1949 1283 461 353 881
991 1259 499 1409 439 1433
139 1901 1693 1187 401 709
7 389 1777 1487 1913 457
1033 1861 19 641 1499 977
643 877 1597 1373 173 1367
1847 1193 71 1459 1297 163
947 89 2333 547 1051 1063
1553 1621 233 523 97 2003
809 1601 1291 557 31 1741
1567 151 73 1667 2129 443
1151 953 1723 587 757 859
787 283 1733 1303 701 1223
1447 2633 491 463 433 563
269 409 719 1453 1979 1201
1993 1999 1013 487 311 227
79 449 1889 1471 211 1931
347 1279 107 2017 617 1663
941 1061 1867 431 661 1069
887 1231 157 101 2531 1123
1783 11 997 1523 1699 17
1907 1873 313 1237 179 521
857 1559 2039 241 181 1153
373 911 593 43 2473 1637
223 1483 349 827 1361 1787
1181 67 1039 2909 5 829
1489 137 1697 773 1831 103
1301 109 317 823 1609 1871
683 1531 1613 1753 251 199
1543 1627 1171 733 919 37
1129 61 727 1549 1657 907
577 751 1511 601 1571 1019
797 1951 691 571 23 1997
1
7
Dmitry Ezhov
69811
0
9127 11083 631 9811 17551 12979 8629 8641 1579 18289 3463 15733 13789 8317 3229 18397 8179 277 13591 4549 21589 23293 223 23557 13933 6073 2539 193 5479 5653 8737 12289 7753 25303 4597 5119 11719 4327 20071 6553 6709 15313 14923 21157 6091 9967 2557 3943 11173 10987 7213 9067 10651 5953 9109 16831 4801 9241 16273 5623 9007 9283 15583 15649 14431 8221 5503 13381 10357 2269 4969 1663 19753 16141 10399 1063 15823 4339 20509 6451 9463 5743 9157 14149 12799 9883 8389 4933 23539 10069 199 16267 6871 1657 17497 1789 20773 4957 3607 13729 15241 7669 1543 24859 3163 12601 15607 1549 14797 2113 3637 19507 3019 7159 10867 6121 10567 17827 14251 20731 7573 331 997 21379 13159 5641 1861 8293 10723 19081 10159 5791 13903 21613 13807 6763 5407 16561 1237 4423 6379 3643 24337 15739 7489 3301 8923 13597 19603 5323 3253 16033 9199 2803 883 7789 12253 30493 1423 5227 11743 21937 457 21787 6247 18973 13 397 3583 12583 2719 9973 9151 16363 15439 22039 9343 5659 8377 271 12433 11689 4663 6343 11443 739 4159 22783 19681 3109 13693 10627 10729 19801 3793 8059 7369 5839 8839 20533 12451 1471 13309 25171 10531 6427 4051 7963 5557 10111 1999 5647 7993 16633 8461 24967 4111 12073 22063 16111 5107 13879 439 139 16087 17341 12097 6529 8353 2347 7057 1699 4027 1297 11257 8527 15643 27361 5413 4363 17047 5701 10177 19387 7723 14293 6907 11491 5857 13633 1741 15889 11863 9613 7069 9043 24469 6661 1093 6397 8599 10477 17239 2089 5827 19183 3631 9733 6733 8893 2713 34369 3739 7417 5821 22573 5209 12739 7039 9013 7351 14401 4789 20011 9091 11497 2671 18859 14737 6679 3559 5077 2677 18223 10831 5437 19219 12037 2647 10453 9187 5851 15451 7951 2341 9103 25657 3457 17581 15121 2287 17791 2749 6271 8011 1531 15973 607 14767 6217 1879 28837 12589 2851 3571 8863 24793 7741 9403 16567 9631 32803 7393 1381 1873 163 4861 5347 3373 6619 22921 15937 10753
2
4
Natalia Makarova
1260
630
23 521 433 283
373 29 457 401
587 139 11 523
277 571 359 53
263 379 557 61
613 13 131 503
317 449 31 463
67 419 541 233
397 89 211 563
167 599 181 313
127 499 617 17
569 73 251 367
577 271 59 353
107 619 491 43
229 173 601 257
347 197 109 607
2
5
Natalia Makarova
54515
21806
14347 21163 9349 4099 5557
3793 9883 20899 9463 10477
6379 15739 12919 10369 9109
13627 3673 3019 21397 12799
16369 4057 8329 9187 16573
5113 11149 9397 19087 9769
17443 4603 283 18307 13879
16183 3847 17359 1483 15643
14563 13933 9043 2539 14437
1213 20983 18433 13099 787
8803 877 18919 12757 13159
16903 20353 1783 739 14737
13093 3169 10903 18637 8713
7069 21067 20023 1453 4903
8647 9049 2887 20929 13003
21019 8707 3373 823 20593
7369 19267 12763 7873 7243
6163 20323 4447 17959 5623
7927 3499 21523 17203 4363
12037 2719 12409 10657 16693
5233 12619 13477 17749 5437
9007 409 18787 18133 8179
12697 11437 8887 6067 15427
11329 12343 907 11923 18013
16249 17707 12457 643 7459
2
6
Natalia Makarova
19800
6600
883 3697 5591 4243 233 5153
1117 5923 4457 1031 4799 2473
5387 977 4289 2273 5507 1367
4447 2861 179 6121 743 5449
6269 5323 863 1549 2777 3019
1697 1019 4421 4583 5741 2339
1783 6373 239 47 6007 5351
19 53 3643 4159 5477 6449
31 131 1667 5413 6037 6521
6211 3673 5113 2087 1523 1193
5227 3371 4349 6091 733 29
6529 6199 4789 2003 23 257
397 211 3299 5861 5981 4051
1949 127 3463 3209 4561 6491
3691 1979 5419 1097 1327 6287
3517 6337 3491 3167 821 2467
3917 6143 3187 3923 2593 37
6329 5003 941 2543 4517 467
6133 2083 4057 5659 1597 271
6563 4007 2677 3413 457 2683
4133 5779 3433 3109 263 3083
313 5273 5503 1181 4621 2909
109 2039 3391 3137 6473 4651
2549 619 739 3301 6389 6203
6343 6577 4597 1811 401 71
6571 5867 509 2251 3229 1373
5407 5077 4513 1487 2927 389
79 563 1187 4933 6469 6569
151 1123 2441 2957 6547 6581
1249 593 6553 6361 227 4817
4261 859 2017 2179 5581 4903
3581 3823 5051 5737 1277 331
1151 5857 479 6421 3739 2153
5233 1093 4327 2311 5623 1213
4127 1801 5569 2143 677 5483
1447 6367 2357 1009 2903 5717

Here are the best solution arrived after the ending of the competition:

Task
Dim.
User
Magic
Assoc.
Result
1
5
Michael Huerter
3505
0
439 1049 17 1429 571 2467 331 71 277 359 263 1093 607 509 1033 307 419 2137 631 11 29 613 673 659 1531 61 1223 811 587 823 409 751 1123 773 449 569 733 1091 1069 43 1187 757 197 37 1327 1279 41 283 1039 863 1549 347 433 79 1097 239 3 1433 1087 743 599 179 701 809 1217 541 2069 211 547 137 577 907 727 983 311 839 797 761 1061 47 53 619 421 1051 1361 1583 563 97 199 1063 641 229 787 971 877 389 1297 1439 223 157 617 89 1483 349 967 337 1801 457 317 593 491 937 1009 919 149 829 31 173 1319 1153 1231 647 383 601 643
1
6
Natalia Makarova
5670
0
971 761 1801 367 157 1613
1447 379 491 1031 569 1753
1033 1667 1709 281 877 103
1117 1777 419 457 1607 293
461 23 787 1723 797 1879
641 1063 463 1811 1663 29
607 409 719 1877 1627 431
1543 1039 31 887 1823 347
599 439 2311 383 647 1291
233 353 557 2371 499 1657
1229 1949 881 139 811 661
1459 1481 1171 13 263 1283
937 149 1303 677 983 1621
1553 97 307 2069 1307 337
727 2267 523 317 673 1163
653 967 1451 271 1091 1237
1531 449 1499 1123 709 359
269 1741 587 1213 907 953
1277 1693 19 1289 829 563
593 53 2333 751 643 1297
1423 991 107 373 2309 467
311 2423 571 659 127 1579
739 313 769 1997 701 1151
1327 197 1871 601 1061 613
17 1831 401 1381 1847 193
397 2591 1109 73 7 1493
101 83 839 2707 151 1789
1759 37 1201 479 2063 131
1699 1069 631 521 1559 191
1697 59 1489 509 43 1873
1861 827 1427 79 227 1249
137 1511 1399 859 1321 443
1787 223 181 1609 1013 857
1597 113 1471 1433 283 773
11 1867 1103 167 1093 1429
277 1129 89 1523 1733 919
1
7
Michael Huerter
18053
0
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