Additive Squares

Record words

The current record word over each tracked canonical alphabet. Superseded records live on each word’s history list. Click a column header to sort; click again to reverse.

showing 235 of 235
length alphabet size d length / d² status
50 {0, 1, 2, 3} 4 3 5.6 closed
55 {0, 1, 3, 4} 4 4 3.4 closed
55 {0, 1, 4, 5} 4 5 2.2 closed
55 {0, 2, 3, 5} 4 5 2.2 closed
58 {0, 3, 4, 7} 4 7 1.2 closed
60 {0, 1, 5, 6} 4 6 1.7 closed
60 {0, 1, 6, 7} 4 7 1.2 closed
60 {0, 1, 7, 8} 4 8 0.9 open
60 {0, 1, 8, 9} 4 9 0.7 open
60 {0, 1, 9, 10} 4 10 0.6 open
60 {0, 1, 10, 11} 4 11 0.5 open
60 {0, 1, 11, 12} 4 12 0.4 open
60 {0, 1, 12, 13} 4 13 0.4 open
60 {0, 1, 13, 14} 4 14 0.3 open
60 {0, 2, 5, 7} 4 7 1.2 closed
60 {0, 2, 7, 9} 4 9 0.7 open
60 {0, 2, 9, 11} 4 11 0.5 open
60 {0, 2, 11, 13} 4 13 0.4 open
60 {0, 3, 5, 8} 4 8 0.9 closed
60 {0, 3, 7, 10} 4 10 0.6 open
60 {0, 3, 8, 11} 4 11 0.5 open
60 {0, 3, 10, 13} 4 13 0.4 open
60 {0, 3, 11, 14} 4 14 0.3 open
60 {0, 4, 5, 9} 4 9 0.7 open
60 {0, 4, 7, 11} 4 11 0.5 open
60 {0, 4, 9, 13} 4 13 0.4 open
60 {0, 5, 6, 11} 4 11 0.5 open
60 {0, 5, 7, 12} 4 12 0.4 open
60 {0, 5, 8, 13} 4 13 0.4 open
60 {0, 5, 9, 14} 4 14 0.3 open
60 {0, 6, 7, 13} 4 13 0.4 open
62 {0, 1, 2, 4} 4 4 3.9 closed
86 {0, 1, 2, 5} 4 5 3.4 closed
88 {0, 1, 3, 5} 4 5 3.5 closed
110 {0, 1, 3, 6} 4 6 3.1 closed
111 {0, 1, 2, 6} 4 6 3.1 closed
113 {0, 2, 3, 6} 4 6 3.1 open
118 {0, 1, 4, 6} 4 6 3.3 open
139 {0, 2, 3, 7} 4 7 2.8 open
141 {0, 1, 3, 7} 4 7 2.9 open
145 {0, 1, 2, 3, 5} 5 5 5.8 open
145 {0, 2, 4, 7} 4 7 3.0 open
148 {0, 1, 2, 7} 4 7 3.0 open
154 {0, 1, 2, 3, 4} 5 4 9.6 open
161 {0, 1, 4, 7} 4 7 3.3 open
166 {0, 3, 5, 9} 4 9 2.0 open
167 {0, 1, 5, 7} 4 7 3.4 open
171 {0, 3, 4, 8} 4 8 2.7 open
173 {0, 1, 3, 8} 4 8 2.7 open
180 {0, 2, 3, 9} 4 9 2.2 open
180 {0, 3, 4, 9} 4 9 2.2 open
184 {0, 2, 3, 8} 4 8 2.9 open
192 {0, 1, 2, 9, 17, 18} 6 18 0.6 open
195 {0, 2, 5, 8} 4 8 3.0 open
196 {0, 1, 5, 8} 4 8 3.1 open
200 {0, 1, 2, 8} 4 8 3.1 open
205 {0, 2, 6, 9} 4 9 2.5 open
207 {0, 1, 3, 9} 4 9 2.6 open
212 {0, 1, 2, 9} 4 9 2.6 open
215 {0, 1, 4, 8} 4 8 3.4 open
215 {0, 2, 5, 9} 4 9 2.7 open
217 {0, 2, 3, 10} 4 10 2.2 open
220 {0, 1, 6, 9} 4 9 2.7 open
224 {0, 1, 2, 11, 17, 19} 6 19 0.6 open
225 {0, 2, 4, 9} 4 9 2.8 open
232 {0, 1, 6, 8} 4 8 3.6 open
233 {0, 3, 6, 10} 4 10 2.3 open
235 {0, 4, 5, 10} 4 10 2.4 open
236 {0, 1, 4, 9} 4 9 2.9 open
239 {0, 1, 3, 10} 4 10 2.4 open
244 {0, 1, 2, 15, 18, 19} 6 19 0.7 open
246 {0, 3, 4, 10} 4 10 2.5 open
247 {0, 1, 2, 10} 4 10 2.5 open
247 {0, 1, 4, 10} 4 10 2.5 open
253 {0, 4, 6, 11} 4 11 2.1 open
254 {0, 1, 2, 4, 5} 5 5 10.2 open
259 {0, 4, 5, 11} 4 11 2.1 open
262 {0, 2, 5, 10} 4 10 2.6 open
262 {0, 3, 5, 10} 4 10 2.6 open
267 {0, 1, 5, 10} 4 10 2.7 open
269 {0, 2, 3, 11} 4 11 2.2 open
275 {0, 1, 5, 9} 4 9 3.4 open
276 {0, 1, 7, 10} 4 10 2.8 open
276 {0, 2, 4, 11} 4 11 2.3 open
276 {0, 3, 6, 11} 4 11 2.3 open
283 {0, 1, 7, 9} 4 9 3.5 open
283 {0, 2, 5, 11} 4 11 2.3 open
284 {0, 2, 7, 10} 4 10 2.8 open
286 {0, 1, 2, 11} 4 11 2.4 open
289 {0, 1, 3, 11} 4 11 2.4 open
291 {0, 3, 7, 11} 4 11 2.4 open
297 {0, 2, 6, 11} 4 11 2.5 open
305 {0, 1, 6, 10} 4 10 3.0 open
306 {0, 4, 7, 12} 4 12 2.1 open
310 {0, 3, 4, 11} 4 11 2.6 open
317 {0, 1, 6, 11} 4 11 2.6 open
320 {0, 4, 5, 12} 4 12 2.2 open
326 {0, 5, 6, 12} 4 12 2.3 open
327 {0, 2, 7, 12} 4 12 2.3 open
328 {0, 2, 4, 13} 4 13 1.9 open
329 {0, 1, 2, 12} 4 12 2.3 open
330 {0, 3, 8, 13} 4 13 2.0 open
331 {0, 2, 8, 11} 4 11 2.7 open
331 {0, 3, 5, 11} 4 11 2.7 open
334 {0, 4, 8, 13} 4 13 2.0 open
336 {0, 3, 6, 13} 4 13 2.0 open
337 {0, 1, 2, 13} 4 13 2.0 open
338 {0, 3, 8, 12} 4 12 2.3 open
339 {0, 3, 6, 14} 4 14 1.7 open
343 {0, 1, 6, 12} 4 12 2.4 open
343 {0, 4, 6, 13} 4 13 2.0 open
346 {0, 3, 4, 12} 4 12 2.4 open
347 {0, 3, 5, 12} 4 12 2.4 open
349 {0, 4, 9, 14} 4 14 1.8 open
352 {0, 1, 3, 12} 4 12 2.4 open
352 {0, 2, 7, 11} 4 11 2.9 open
353 {0, 1, 8, 10} 4 10 3.5 open
353 {0, 3, 7, 14} 4 14 1.8 open
354 {0, 1, 5, 11} 4 11 2.9 open
356 {0, 2, 3, 12} 4 12 2.5 open
357 {0, 4, 7, 14} 4 14 1.8 open
358 {0, 1, 7, 13} 4 13 2.1 open
358 {0, 6, 7, 14} 4 14 1.8 open
363 {0, 2, 7, 14} 4 14 1.9 open
364 {0, 5, 7, 14} 4 14 1.9 open
366 {0, 1, 4, 11} 4 11 3.0 open
366 {0, 1, 7, 14} 4 14 1.9 open
370 {0, 2, 5, 12} 4 12 2.6 open
370 {0, 4, 5, 13} 4 13 2.2 open
371 {0, 3, 4, 13} 4 13 2.2 open
371 {0, 4, 7, 13} 4 13 2.2 open
372 {0, 1, 8, 11} 4 11 3.1 open
372 {0, 1, 8, 12} 4 12 2.6 open
374 {0, 2, 6, 13} 4 13 2.2 open
377 {0, 5, 7, 13} 4 13 2.2 open
378 {0, 5, 6, 14} 4 14 1.9 open
379 {0, 1, 2, 14} 4 14 1.9 open
379 {0, 5, 8, 14} 4 14 1.9 open
389 {0, 1, 4, 12} 4 12 2.7 open
389 {0, 1, 5, 12} 4 12 2.7 open
393 {0, 5, 6, 13} 4 13 2.3 open
398 {0, 2, 7, 13} 4 13 2.4 open
399 {0, 3, 7, 12} 4 12 2.8 open
400 {0, 1, 7, 11} 4 11 3.3 open
400 {0, 3, 7, 13} 4 13 2.4 open
401 {0, 1, 5, 13} 4 13 2.4 open
401 {0, 2, 3, 13} 4 13 2.4 open
401 {0, 3, 9, 14} 4 14 2.0 open
407 {0, 3, 5, 13} 4 13 2.4 open
409 {0, 1, 2, 3, 6} 5 6 11.4 open
411 {0, 3, 4, 14} 4 14 2.1 open
413 {0, 1, 3, 13} 4 13 2.4 open
416 {0, 1, 2, 5, 6} 5 6 11.6 open
427 {0, 1, 7, 12} 4 12 3.0 open
431 {0, 1, 9, 11} 4 11 3.6 open
434 {0, 2, 9, 12} 4 12 3.0 open
439 {0, 3, 9, 13} 4 13 2.6 open
441 {0, 3, 10, 14} 4 14 2.3 open
442 {0, 2, 8, 13} 4 13 2.6 open
442 {0, 3, 5, 14} 4 14 2.3 open
444 {0, 2, 3, 14} 4 14 2.3 open
452 {0, 1, 9, 12} 4 12 3.1 open
457 {0, 1, 10, 12} 4 12 3.2 open
460 {0, 2, 9, 13} 4 13 2.7 open
461 {0, 1, 2, 4, 7} 5 7 9.4 open
467 {0, 1, 2, 3, 4, 6} 6 6 13.0 open
471 {0, 1, 8, 13} 4 13 2.8 open
474 {0, 1, 2, 3, 4, 5} 6 5 19.0 open
478 {0, 2, 10, 13} 4 13 2.8 open
482 {0, 2, 5, 13} 4 13 2.9 open
482 {0, 2, 11, 14} 4 14 2.5 open
484 {0, 3, 8, 14} 4 14 2.5 open
488 {0, 1, 6, 13} 4 13 2.9 open
490 {0, 1, 10, 13} 4 13 2.9 open
492 {0, 1, 4, 14} 4 14 2.5 open
494 {0, 1, 4, 13} 4 13 2.9 open
503 {0, 1, 11, 13} 4 13 3.0 open
504 {0, 1, 12, 14} 4 14 2.6 open
506 {0, 1, 3, 14} 4 14 2.6 open
514 {0, 4, 5, 14} 4 14 2.6 open
516 {0, 1, 5, 14} 4 14 2.6 open
517 {0, 2, 5, 14} 4 14 2.6 open
532 {0, 1, 6, 14} 4 14 2.7 open
545 {0, 2, 9, 14} 4 14 2.8 open
571 {0, 1, 9, 13} 4 13 3.4 open
574 {0, 1, 11, 14} 4 14 2.9 open
575 {0, 1, 2, 3, 4, 7} 6 7 11.7 open
600 {0, 1, 10, 14} 4 14 3.1 open
686 {0, 1, 2, 4, 8} 5 8 10.7 open
741 {0, 1, 8, 14} 4 14 3.8 open
780 {0, 1, 2, 3, 9} 5 9 9.6 open
798 {0, 1, 9, 14} 4 14 4.1 open
881 {0, 1, 11, 15} 4 15 3.9 open
1134 {0, 3, 6, 7, 8, 13} 6 13 6.7 open
1288 {0, 1, 2, 3, 4, 5, 6} 7 6 35.8 open
1495 {0, 1, 3, 7, 12} 5 12 10.4 open
1559 {0, 1, 2, 3, 4, 5, 7} 7 7 31.8 open
1562 {0, 1, 3, 7, 15} 5 15 6.9 open
2240 {0, 1, 4, 9, 18} 5 18 6.9 open
2451 {0, 4, 9, 11, 12, 17} 6 17 8.5 open
2718 {0, 1, 2, 3, 4, 5, 6, 7} 8 7 55.5 open
2743 {0, 1, 5, 11, 22} 5 22 5.7 open
2823 {0, 1, 3, 7, 12, 20} 6 20 7.1 open
3206 {0, 1, 3, 8, 12, 18} 6 18 9.9 open
4710 {0, 6, 43, 49, 86, 92} 6 92 0.6 open
4889 {0, 3, 6, 71, 74, 77} 6 77 0.8 open
5191 {0, 4, 8, 69, 88, 95} 6 95 0.6 open
6874 {0, 1, 4, 10, 12, 17} 6 17 23.8 open
7031 {0, 1, 2, 3, 4, 5, 6, 7, 8} 9 8 109.9 open
8169 {0, 1, 5, 11, 22, 40} 6 40 5.1 open
10120 {0, 2, 7, 21, 36} 5 36 7.8 open
17606 {0, 1, 2, 70, 71, 72} 6 72 3.4 open
20009 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} 10 9 247.0 open
21250 {0, 1, 2, 97, 98, 99} 6 99 2.2 open
23449 {0, 1, 3, 7, 12, 20, 30} 7 30 26.1 open
24906 {0, 1, 4, 15, 60} 5 60 6.9 open
27021 {0, 3, 41, 85, 90, 96} 6 96 2.9 open
27646 {0, 1, 2, 184, 185, 186} 6 186 0.8 open
28018 {0, 2, 46, 80, 85, 99} 6 99 2.9 open
30783 {0, 1, 3, 7, 12, 20, 30, 44, 65, 80} 10 80 4.8 open
36025 {0, 1, 2, 211, 212, 213} 6 213 0.8 open
36033 {0, 1, 2, 85, 89, 96} 6 96 3.9 open
40030 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} 11 10 400.3 open
74035 {0, 1, 2, 4, 7, 12, 20, 29, 38, 52, 73, 83, 108, 121, 145, 168} 16 168 2.6 open
85014 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} 12 11 702.6 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} 13 12 694.4 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13} 14 13 591.7 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14} 15 14 510.2 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} 16 15 444.4 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} 17 16 390.6 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17} 18 17 346.0 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18} 19 18 308.6 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19} 20 19 277.0 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} 21 20 250.0 open
100000 {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21} 22 21 226.8 open