Reducerade system för tipset – note to self. Tabell över befintliga system för n-1 (12/13 rätt) och n-2 (11/13 rätt), med aktuella teoretiska och praktiska gränser. Ett enstaka system saknas alltjämt (markerat med ❌), medan ett fåtal inte uppnår gränsvärde (markerade i orange färg).
| K(t, b, R = 1) | K(t, b, R = 2) | ||||||
| t | b | Gränser n/ö | R (n-1) | Gränser n/ö | R (n-2) | ||
| 0 | 1 | 1 | R 0-1-1-1 | ||||
| 0 | 2 | 2 | R 0-2-2-1 | 1 | R 0-2-1-2 | ||
| 0 | 3 | 2 | R 0-3-2-1 | 2 | R 0-3-2-2 | ||
| 0 | 4 | 4 | R 0-4-4-1 | 2 | R 0-4-2-2 | ||
| 0 | 5 | 7 | R 0-5-7-1 | 2 | R 0-5-2-2 | ||
| 0 | 6 | 12 | R 0-6-12-1 | 4 | R 0-6-4-2 | ||
| 0 | 7 | 16 | R 0-7-16-1 | 7 | R 0-7-7-2 | ||
| 0 | 8 | 32 | R 0-8-32-1 | 12 | R 0-8-12-2 | ||
| 0 | 9 | 62 | R 0-9-62-1 | 16 | R 0-9-16-2 | ||
| 0 | 10 | 107 | 120 | R 0-10-120-1 | 24 | 30 | R 0-10-30-2 |
| 0 | 11 | 180 | 192 | R 0-11-192-1 | 37 | 44 | R 0-11-44-2 |
| 0 | 12 | 342 | 380 | R 0-12-380-1 | 61 | 78 | R 0-12-78-2 |
| 0 | 13 | 598 | 704 | R 0-13-704-1 | 97 | 128 | R 0-13-128-2 |
| 1 | 0 | 1 | R 1-0-1-1 | ||||
| 1 | 1 | 2 | R 1-1-2-1 | 1 | R 1-1-1-2 | ||
| 1 | 2 | 3 | R 1-2-3-1 | 2 | R 1-2-2-2 | ||
| 1 | 3 | 6 | R 1-3-6-1 | 2 | R 1-3-2-2 | ||
| 1 | 4 | 8 | R 1-4-8-1 | 3 | R 1-4-3-2 | ||
| 1 | 5 | 16 | R 1-5-16-1 | 6 | R 1-5-6-2 | ||
| 1 | 6 | 24 | R 1-6-24-1 | 8 | R 1-6-8-2 | ||
| 1 | 7 | 42 | 48 | R 1-7-48-1 | 12 | R 1-7-12-2 | |
| 1 | 8 | 76 | 84 | R 1-8-84-1 | 20 | R 1-8-20-2 | |
| 1 | 9 | 134 | 160 | R 1-9-160-1 | 24 | 35 | R 1-9-35-2 |
| 1 | 10 | 253 | 284 | R 1-10-284-1 | 44 | 60 | R 1-10-60-2 |
| 1 | 11 | 448 | 548 | R 1-11-548-1 | 74 | 96 | R 1-11-96-2 |
| 1 | 12 | 869 | 992 | R 1-12-992-1 | 121 | 179 | R 1-12-179-2 |
| 2 | 0 | 3 | R 2-0-3-1 | 1 | R 2-0-1-2 | ||
| 2 | 1 | 4 | R 2-1-4-1 | 2 | R 2-1-2-2 | ||
| 2 | 2 | 6 | R 2-2-6-1 | 3 | R 2-2-3-2 | ||
| 2 | 3 | 12 | R 2-3-12-1 | 4 | R 2-3-4-2 | ||
| 2 | 4 | 20 | R 2-4-20-1 | 6 | R 2-4-6-2 | ||
| 2 | 5 | 32 | 36 | R 2-5-36-1 | 11 | R 2-5-11-2 | |
| 2 | 6 | 57 | 64 | R 2-6-64-1 | 16 | R 2-6-16-2 | |
| 2 | 7 | 101 | 122 | R 2-7-122-1 | 22 | 28 | R 2-7-28-2 |
| 2 | 8 | 187 | 232 | R 2-8-232-1 | 33 | 48 | R 2-8-48-2 |
| 2 | 9 | 338 | 408 | R 2-9-408-1 | 56 | 74 | R 2-9-74-2 |
| 2 | 10 | 646 | 768 | R 2-10-768-1 | 93 | 144 | R 2-10-144-2 |
| 2 | 11 | 1173 | 1472 | R 2-11-1472-1 | 165 | 256 | R 2-11-256-2 |
| 3 | 0 | 5 | R 3-0-5-1 | 3 | R 3-0-3-2 | ||
| 3 | 1 | 9 | R 3-1-9-1 | 3 | R 3-1-3-2 | ||
| 3 | 2 | 16 | R 3-2-16-1 | 5 | R 3-2-5-2 | ||
| 3 | 3 | 24 | R 3-3-24-1 | 8 | R 3-3-8-2 | ||
| 3 | 4 | 44 | 48 | R 3-4-48-1 | 13 | R 3-4-13-2 | |
| 3 | 5 | 78 | 92 | R 3-5-92-1 | 17 | 23 | R 3-5-23-2 |
| 3 | 6 | 140 | 171 | R 3-6-171-1 | 25 | 36 | R 3-6-36-2 |
| 3 | 7 | 256 | 312 | R 3-7-312-1 | 43 | 56 | R 3-7-56-2 |
| 3 | 8 | 480 | 576 | R 3-8-576-1 | 72 | 96 | R 3-8-96-2 |
| 3 | 9 | 888 | 1056 | R 3-9-1056-1 | 123 | 188 | R 3-9-188-2 |
| 3 | 10 | 1689 | 2016 | R 3-10-2016-1 | 223 | 356 | R 3-10-356-2 |
| 4 | 0 | 9 | R 4-0-9-1 | 3 | R 4-0-3-2 | ||
| 4 | 1 | 18 | R 4-1-18-1 | 6 | R 4-1-6-2 | ||
| 4 | 2 | 36 | R 4-2-36-1 | 10 | R 4-2-10-2 | ||
| 4 | 3 | 60 | 72 | R 4-3-72-1 | 15 | 18 | R 4-3-18-2 |
| 4 | 4 | 107 | 128 | R 4-4-128-1 | 20 | 24 | R 4-4-24-2 |
| 4 | 5 | 195 | 238 | R 4-5-238-1 | 32 | 48 | R 4-5-48-2 |
| 4 | 6 | 356 | 432 | R 4-6-432-1 | 55 | 72 | R 4-6-72-2 |
| 4 | 7 | 672 | 852 | R 4-7-852-1 | 93 | 144 | R 4-7-144-2 |
| 4 | 8 | 1257 | 1296 | R 4-8-1296-1 | 168 | 252 | R 4-8-252-2 |
| 4 | 9 | 2370 | 2592 | R 4-9-2592-1 | 290 | 480 | R 4-9-480-2 |
| 5 | 0 | 27 | R 5-0-27-1 | 8 | R 5-0-8-2 | ||
| 5 | 1 | 45 | 54 | R 5-1-54-1 | 12 | R 5-1-12-2 | |
| 5 | 2 | 80 | 96 | R 5-2-96-1 | 16 | 21 | R 5-2-21-2 |
| 5 | 3 | 148 | 168 | R 5-3-168-1 | 24 | 36 | R 5-3-36-2 |
| 5 | 4 | 268 | 324 | R 5-4-324-1 | 42 | 64 | R 5-4-64-2 |
| 5 | 5 | 509 | 624 | R 5-5-624-1 | 71 | 108 | R 5-5-108-2 |
| 5 | 6 | 936 | 1184 | R 5-6-1184-1 | 126 | 192 | R 5-6-192-2 |
| 5 | 7 | 1791 | 1944 | R 5-7-1944-1 | 222 | 348 | R 5-7-348-2 |
| 5 | 8 | 3353 | 3888 | R 5-8-3888-1 | 385 | 664 | R 5-8-665-2 |
| 6 | 0 | 71 | 73 | R 6-0-73-1 | 15 | 17 | R 6-0-17-2 |
| 6 | 1 | 113 | 132 | R 6-1-132-1 | 19 | 27 | R 6-1-27-2 |
| 6 | 2 | 204 | 252 | R 6-2-252-1 | 33 | 48 | R 6-2-48-2 |
| 6 | 3 | 386 | 468 | R 6-3-468-1 | 54 | 72 | R 6-3-72-2 |
| 6 | 4 | 700 | 864 | R 6-4-864-1 | 94 | 144 | R 6-4-144-2 |
| 6 | 5 | 1353 | 1620 | R 6-5-1620-1 | 170 | 276 | R 6-5-276-2 |
| 6 | 6 | 2500 | 2916 | R 6-6-2916-1 | 290 | 513 | R 6-6-513-2 |
| 6 | 7 | 4827 | 5832 | R 6-7-5832-1 | 532 | 936 | R 6-7-936-2 |
| 7 | 0 | 156 | 186 | R 7-0-186-1 | 26 | 34 | R 7-0-34-2 |
| 7 | 1 | 292 | 333 | R 7-1-333-1 | 42 | 54 | R 7-1-54-2 |
| 7 | 2 | 525 | 648 | R 7-2-648-1 | 72 | 108 | R 7-2-108-2 |
| 7 | 3 | 1022 | 1296 | R 7-3-1296-1 | 130 | 216 | R 7-3-216-2 |
| 7 | 4 | 1864 | 2304 | R 7-4-2304-1 | 230 | 374 | R 7-4-384-2 |
| 7 | 5 | 3641 | 4374 | R 7-5-4374-1 | 397 | 688 | R 7-5-688-2 |
| 7 | 6 | 6762 | 8352 | R 7-6-8352-1 | 729 | 1280 | R 7-6-1296-2 |
| 8 | 0 | 402 | 486 | R 8-0-486-1 | 54 | 81 | R 8-0-81-2 |
| 8 | 1 | 772 | 948 | R 8-1-948-1 | 99 | 162 | R 8-1-162-2 |
| 8 | 2 | 1395 | 1728 | R 8-2-1728-1 | 167 | 288 | R 8-2-288-2 |
| 8 | 3 | 2747 | 3374 | R 8-3-3374-1 | 295 | 504 | R 8-3-504-2 |
| 8 | 4 | 5047 | 6408 | R 8-4-6408-1 | 555 | 876 | R 8-4-972-2 |
| 8 | 5 | 9904 | 11664 | R 8-5-11664-1 | 964 | 1566 | R 8-5-1566-2 |
| 9 | 0 | 1060 | 1269 | R 9-0-1269-1 | 130 | 219 | R 9-0-219-2 |
| 9 | 1 | 2072 | 2520 | R 9-1-2538-1 | 219 | 396 | R 9-1-396-2 |
| 9 | 2 | 3770 | 4752 | R 9-2-4806-1 | 422 | 729 | R 9-2-729-2 |
| 9 | 3 | 7463 | 9288 | R 9-3-9612-1 | 731 | 1184 | R 9-3-1215-2 |
| 9 | 4 | 13802 | 17496 | R 9-4-17496-1 | 1321 | 1782 | R 9-4-1863-2 |
| 10 | 0 | 2854 | 3645 | R 10-0-3645-1 | 323 | 555 | R 10-0-555-2 |
| 10 | 1 | 5624 | 6804 | R 10-1-6804-1 | 555 | 729 | R 10-1-729-2 |
| 10 | 2 | 10311 | 13122 | R 10-2-13122-1 | 983 | 1458 | R 10-2-1458-2 |
| 10 | 3 | 20458 | 25272 | R 10-3-25272-1 | 1894 | 1944 | R 10-3-1944-2 |
| 11 | 0 | 7832 | 9477 | R 11-0-9477-1 | 729 | R 11-0-729-2 | |
| 11 | 1 | 15405 | 18954 | R 11-1-18954-1 | 1436 | 1458 | R 11-1-1458-2 |
| 11 | 2 | 28439 | 34992 | ❌ | 2528 | 2916 | R 11-2-2916-2 |
| 12 | 0 | 21531 | 27702 | R 12-0-27702-1 | 1919 | 2187 | R 12-0-2187-2 |
| 12 | 1 | 42516 | 52488 | R 12-1-52488-1 | 3405 | 4374 | R 12-1-4374-2 |
| 13 | 0 | 59049 | R 13-0-59049-1 | 5062 | 6561 | R 13-0-6561-2 | |
