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Function to calculate unique Pythagorean triples
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// ----------------------------------------------------------------------------- | |
// utils | |
function isPrime(value) | |
{ | |
for(var i = 2; i < value; i++) | |
{ | |
if(value % i === 0) | |
{ | |
return false; | |
} | |
} | |
return value > 1; | |
} | |
function isUnique(x, y, triples) | |
{ | |
return !triples.some(t => t[0] / x === t[1] / y) | |
} | |
function print (arr) | |
{ | |
console.clear(); | |
console.log(arr.map(triple => triple.join(', ')).join('\n')); | |
} | |
// ----------------------------------------------------------------------------- | |
// triangles | |
function getTriangles (n) | |
{ | |
var results = []; | |
var start = 93222358; // first existing factor | |
var r = Math.sqrt(2); | |
var first; | |
var last; | |
for(var x = start; x <= n; x++) | |
{ | |
var y = x; | |
var z = Math.sqrt((x * x) + (y * y)); | |
if (Math.floor(z) === z) | |
{ | |
if (!first) | |
{ | |
first = x; | |
} | |
results.push([x, y, z, x / first]) | |
last = x; | |
} | |
} | |
return results; | |
} | |
function printTriangles (n) | |
{ | |
print(getTriangles(n)) | |
} | |
// ----------------------------------------------------------------------------- | |
// triples | |
function getTriples(n, unique) | |
{ | |
var triples = []; | |
for(var x = 1; x <= n; x++) | |
{ | |
for(var y = x; y <= n; y++) | |
{ | |
var z = Math.sqrt((x * x) + (y * y)); | |
if (Math.floor(z) === z) | |
{ | |
if (unique && !isUnique(x, y, triples)) | |
{ | |
continue; | |
} | |
triples.push([x, y, z]); | |
} | |
} | |
} | |
return triples; | |
} | |
function printTriples (n, unique) | |
{ | |
print(getTriples(n, unique)); | |
} | |
function plotTriples(triples, unique) | |
{ | |
// to do! | |
} | |
// ----------------------------------------------------------------------------- | |
// code | |
printTriangles(1000000000) | |
printTriples(1000, true) |
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// results up to 1,000,000,000² (1bn²) | |
93222358, 93222358, 131836323 | |
131836323, 131836323, 186444716 | |
170450288, 170450288, 241053109 | |
186444716, 186444716, 263672646 | |
202439144, 202439144, 286292183 | |
209064253, 209064253, 295661502 | |
225058681, 225058681, 318281039 | |
241053109, 241053109, 340900576 | |
247678218, 247678218, 350269895 | |
263672646, 263672646, 372889432 | |
279667074, 279667074, 395508969 | |
318281039, 318281039, 450117362 | |
334275467, 334275467, 472736899 | |
340900576, 340900576, 482106218 | |
356895004, 356895004, 504725755 | |
372889432, 372889432, 527345292 | |
395508969, 395508969, 559334148 | |
404878288, 404878288, 572584366 | |
411503397, 411503397, 581953685 | |
418128506, 418128506, 591323004 | |
427497825, 427497825, 604573222 | |
434122934, 434122934, 613942541 | |
450117362, 450117362, 636562078 | |
459486681, 459486681, 649812296 | |
466111790, 466111790, 659181615 | |
472736899, 472736899, 668550934 | |
482106218, 482106218, 681801152 | |
488731327, 488731327, 691170471 | |
495356436, 495356436, 700539790 | |
504725755, 504725755, 713790008 | |
511350864, 511350864, 723159327 | |
520720183, 520720183, 736409545 | |
527345292, 527345292, 745778864 | |
543339720, 543339720, 768398401 | |
549964829, 549964829, 777767720 | |
552709039, 552709039, 781648619 | |
559334148, 559334148, 791017938 | |
565959257, 565959257, 800387257 | |
575328576, 575328576, 813637475 | |
581953685, 581953685, 823006794 | |
597948113, 597948113, 845626331 | |
613942541, 613942541, 868245868 | |
620567650, 620567650, 877615187 | |
627192759, 627192759, 886984506 | |
636562078, 636562078, 900234724 | |
652556506, 652556506, 922854261 | |
668550934, 668550934, 945473798 | |
675176043, 675176043, 954843117 | |
681801152, 681801152, 964212436 | |
691170471, 691170471, 977462654 | |
697795580, 697795580, 986831973 | |
707164899, 707164899, 1000082191 | |
713790008, 713790008, 1009451510 | |
729784436, 729784436, 1032071047 | |
736409545, 736409545, 1041440366 | |
745778864, 745778864, 1054690584 | |
752403973, 752403973, 1064059903 | |
761773292, 761773292, 1077310121 | |
765654191, 765654191, 1082798541 | |
768398401, 768398401, 1086679440 | |
771142611, 771142611, 1090560339 | |
775023510, 775023510, 1096048759 | |
781648619, 781648619, 1105418078 | |
784392829, 784392829, 1109298977 | |
791017938, 791017938, 1118668296 | |
793762148, 793762148, 1122549195 | |
797643047, 797643047, 1128037615 | |
800387257, 800387257, 1131918514 | |
807012366, 807012366, 1141287833 | |
809756576, 809756576, 1145168732 | |
813637475, 813637475, 1150657152 | |
816381685, 816381685, 1154538051 | |
820262584, 820262584, 1160026471 | |
823006794, 823006794, 1163907370 | |
829631903, 829631903, 1173276689 | |
832376113, 832376113, 1177157588 | |
836257012, 836257012, 1182646008 | |
839001222, 839001222, 1186526907 | |
845626331, 845626331, 1195896226 | |
848370541, 848370541, 1199777125 | |
852251440, 852251440, 1205265545 | |
854995650, 854995650, 1209146444 | |
858876549, 858876549, 1214634864 | |
861620759, 861620759, 1218515763 | |
868245868, 868245868, 1227885082 | |
870990078, 870990078, 1231765981 | |
874870977, 874870977, 1237254401 | |
877615187, 877615187, 1241135300 | |
884240296, 884240296, 1250504619 | |
890865405, 890865405, 1259873938 | |
893609615, 893609615, 1263754837 | |
900234724, 900234724, 1273124156 | |
902978934, 902978934, 1277005055 | |
906859833, 906859833, 1282493475 | |
909604043, 909604043, 1286374374 | |
916229152, 916229152, 1295743693 | |
918973362, 918973362, 1299624592 | |
922854261, 922854261, 1305113012 | |
929479370, 929479370, 1314482331 | |
932223580, 932223580, 1318363230 | |
938848689, 938848689, 1327732549 | |
945473798, 945473798, 1337101868 | |
948218008, 948218008, 1340982767 | |
954843117, 954843117, 1350352086 | |
961468226, 961468226, 1359721405 | |
964212436, 964212436, 1363602304 | |
968093335, 968093335, 1369090724 | |
970837545, 970837545, 1372971623 | |
977462654, 977462654, 1382340942 | |
980206864, 980206864, 1386221841 | |
984087763, 984087763, 1391710261 | |
986831973, 986831973, 1395591160 | |
990712872, 990712872, 1401079580 | |
993457082, 993457082, 1404960479 |
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// results up to 1000² | |
3,4,5 | |
5,12,13 | |
7,24,25 | |
8,15,17 | |
9,40,41 | |
11,60,61 | |
12,35,37 | |
13,84,85 | |
15,112,113 | |
16,63,65 | |
17,144,145 | |
19,180,181 | |
20,21,29 | |
20,99,101 | |
21,220,221 | |
23,264,265 | |
24,143,145 | |
25,312,313 | |
27,364,365 | |
28,45,53 | |
28,195,197 | |
29,420,421 | |
31,480,481 | |
32,255,257 | |
33,56,65 | |
33,544,545 | |
35,612,613 | |
36,77,85 | |
36,323,325 | |
37,684,685 | |
39,80,89 | |
39,760,761 | |
40,399,401 | |
41,840,841 | |
43,924,925 | |
44,117,125 | |
44,483,485 | |
45,1012,1013 | |
47,1104,1105 | |
48,55,73 | |
48,575,577 | |
49,1200,1201 | |
51,140,149 | |
51,1300,1301 | |
52,165,173 | |
52,675,677 | |
53,1404,1405 | |
55,1512,1513 | |
56,783,785 | |
57,176,185 | |
57,1624,1625 | |
59,1740,1741 | |
60,91,109 | |
60,221,229 | |
60,899,901 | |
61,1860,1861 | |
63,1984,1985 | |
64,1023,1025 | |
65,72,97 | |
65,2112,2113 | |
67,2244,2245 | |
68,285,293 | |
68,1155,1157 | |
69,260,269 | |
69,2380,2381 | |
71,2520,2521 | |
72,1295,1297 | |
73,2664,2665 | |
75,308,317 | |
75,2812,2813 | |
76,357,365 | |
76,1443,1445 | |
77,2964,2965 | |
79,3120,3121 | |
80,1599,1601 | |
81,3280,3281 | |
83,3444,3445 | |
84,187,205 | |
84,437,445 | |
84,1763,1765 | |
85,132,157 | |
85,3612,3613 | |
87,416,425 | |
87,3784,3785 | |
88,105,137 | |
88,1935,1937 | |
89,3960,3961 | |
91,4140,4141 | |
92,525,533 | |
92,2115,2117 | |
93,476,485 | |
93,4324,4325 | |
95,168,193 | |
95,4512,4513 | |
96,247,265 | |
96,2303,2305 | |
97,4704,4705 | |
99,4900,4901 | |
100,621,629 | |
100,2499,2501 | |
101,5100,5101 | |
103,5304,5305 | |
104,153,185 | |
104,2703,2705 | |
105,208,233 | |
105,608,617 | |
105,5512,5513 | |
107,5724,5725 | |
108,725,733 | |
108,2915,2917 | |
109,5940,5941 | |
111,680,689 | |
111,6160,6161 | |
112,3135,3137 | |
113,6384,6385 | |
115,252,277 | |
115,6612,6613 | |
116,837,845 | |
116,3363,3365 | |
117,6844,6845 | |
119,120,169 | |
119,7080,7081 | |
120,209,241 | |
120,391,409 | |
120,3599,3601 | |
121,7320,7321 | |
123,836,845 | |
123,7564,7565 | |
124,957,965 | |
124,3843,3845 | |
125,7812,7813 | |
127,8064,8065 | |
128,4095,4097 | |
129,920,929 | |
129,8320,8321 | |
131,8580,8581 | |
132,475,493 | |
132,1085,1093 | |
132,4355,4357 | |
133,156,205 | |
133,8844,8845 | |
135,352,377 | |
135,9112,9113 | |
136,273,305 | |
136,4623,4625 | |
137,9384,9385 | |
139,9660,9661 | |
140,171,221 | |
140,1221,1229 | |
140,4899,4901 | |
141,1100,1109 | |
141,9940,9941 | |
144,5183,5185 | |
145,408,433 | |
147,1196,1205 | |
148,1365,1373 | |
148,5475,5477 | |
152,345,377 | |
152,5775,5777 | |
155,468,493 | |
156,667,685 | |
156,1517,1525 | |
156,6083,6085 | |
159,1400,1409 | |
160,231,281 | |
160,6399,6401 | |
161,240,289 | |
164,1677,1685 | |
164,6723,6725 | |
165,532,557 | |
165,1508,1517 | |
168,425,457 | |
168,775,793 | |
168,7055,7057 | |
172,1845,1853 | |
172,7395,7397 | |
175,288,337 | |
176,7743,7745 | |
177,1736,1745 | |
180,299,349 | |
180,2021,2029 | |
180,8099,8101 | |
183,1856,1865 | |
184,513,545 | |
184,8463,8465 | |
185,672,697 | |
188,2205,2213 | |
188,8835,8837 | |
189,340,389 | |
192,1015,1033 | |
192,9215,9217 | |
195,748,773 | |
195,2108,2117 | |
196,2397,2405 | |
196,9603,9605 | |
200,609,641 | |
200,9999,10001 | |
201,2240,2249 | |
203,396,445 | |
204,253,325 | |
204,1147,1165 | |
204,2597,2605 | |
205,828,853 | |
207,224,305 | |
212,2805,2813 | |
213,2516,2525 | |
215,912,937 | |
216,713,745 | |
217,456,505 | |
219,2660,2669 | |
220,459,509 | |
220,3021,3029 | |
225,272,353 | |
228,325,397 | |
228,1435,1453 | |
228,3245,3253 | |
231,520,569 | |
231,2960,2969 | |
232,825,857 | |
235,1092,1117 | |
236,3477,3485 | |
237,3116,3125 | |
240,551,601 | |
240,1591,1609 | |
244,3717,3725 | |
245,1188,1213 | |
248,945,977 | |
249,3440,3449 | |
252,275,373 | |
252,3965,3973 | |
255,1288,1313 | |
255,3608,3617 | |
259,660,709 | |
260,651,701 | |
260,4221,4229 | |
261,380,461 | |
264,1073,1105 | |
264,1927,1945 | |
265,1392,1417 | |
267,3956,3965 | |
268,4485,4493 | |
273,736,785 | |
273,4136,4145 | |
276,493,565 | |
276,2107,2125 | |
276,4757,4765 | |
279,440,521 | |
280,351,449 | |
280,759,809 | |
280,1209,1241 | |
284,5037,5045 | |
285,1612,1637 | |
285,4508,4517 | |
287,816,865 | |
291,4700,4709 | |
292,5325,5333 | |
295,1728,1753 | |
296,1353,1385 | |
297,304,425 | |
300,589,661 | |
300,2491,2509 | |
300,5621,5629 | |
301,900,949 | |
303,5096,5105 | |
305,1848,1873 | |
308,435,533 | |
308,5925,5933 | |
309,5300,5309 | |
312,1505,1537 | |
312,2695,2713 | |
315,572,653 | |
315,988,1037 | |
315,1972,1997 | |
316,6237,6245 | |
319,360,481 | |
320,999,1049 | |
321,5720,5729 | |
324,6557,6565 | |
327,5936,5945 | |
328,1665,1697 | |
329,1080,1129 | |
332,6885,6893 | |
333,644,725 | |
335,2232,2257 | |
336,377,505 | |
336,527,625 | |
336,3127,3145 | |
339,6380,6389 | |
340,1131,1181 | |
340,7221,7229 | |
341,420,541 | |
344,1833,1865 | |
345,2368,2393 | |
345,6608,6617 | |
348,805,877 | |
348,3355,3373 | |
348,7565,7573 | |
355,2508,2533 | |
356,7917,7925 | |
357,1276,1325 | |
357,7076,7085 | |
360,1271,1321 | |
360,2009,2041 | |
363,7316,7325 | |
364,627,725 | |
364,8277,8285 | |
365,2652,2677 | |
368,465,593 | |
369,800,881 | |
371,1380,1429 | |
372,925,997 | |
372,3835,3853 | |
372,8645,8653 | |
375,7808,7817 | |
376,2193,2225 | |
380,1419,1469 | |
380,9021,9029 | |
381,8060,8069 | |
384,4087,4105 | |
385,552,673 | |
385,1488,1537 | |
385,2952,2977 | |
387,884,965 | |
388,9405,9413 | |
392,2385,2417 | |
393,8576,8585 | |
395,3108,3133 | |
396,403,565 | |
396,9797,9805 | |
399,1600,1649 | |
399,8840,8849 | |
400,561,689 | |
405,3268,3293 | |
407,624,745 | |
408,2585,2617 | |
408,4615,4633 | |
411,9380,9389 | |
413,1716,1765 | |
415,3432,3457 | |
417,9656,9665 | |
420,851,949 | |
420,1189,1261 | |
420,1739,1789 | |
420,4891,4909 | |
423,1064,1145 | |
424,2793,2825 | |
427,1836,1885 | |
429,460,629 | |
429,700,821 | |
432,665,793 | |
435,3772,3797 | |
440,1911,1961 | |
440,3009,3041 | |
441,1160,1241 | |
444,1333,1405 | |
444,5467,5485 | |
445,3948,3973 | |
448,975,1073 | |
451,780,901 | |
455,528,697 | |
455,2088,2137 | |
455,4128,4153 | |
456,3233,3265 | |
456,5767,5785 | |
460,2091,2141 | |
464,777,905 | |
465,4312,4337 | |
468,595,757 | |
469,2220,2269 | |
472,3465,3497 | |
473,864,985 | |
476,1107,1205 | |
477,1364,1445 | |
480,2279,2329 | |
480,6391,6409 | |
481,600,769 | |
483,2356,2405 | |
485,4692,4717 | |
488,3705,3737 | |
492,1645,1717 | |
492,6715,6733 | |
495,952,1073 | |
495,1472,1553 | |
495,4888,4913 | |
496,897,1025 | |
497,2496,2545 | |
504,703,865 | |
504,1247,1345 | |
504,3953,3985 | |
505,5088,5113 | |
511,2640,2689 | |
515,5292,5317 | |
516,1813,1885 | |
516,7387,7405 | |
517,1044,1165 | |
520,2679,2729 | |
520,4209,4241 | |
525,2788,2837 | |
528,1025,1153 | |
528,7735,7753 | |
531,1700,1781 | |
532,1395,1493 | |
533,756,925 | |
535,5712,5737 | |
536,4473,4505 | |
539,1140,1261 | |
540,629,829 | |
540,2891,2941 | |
545,5928,5953 | |
549,1820,1901 | |
552,4745,4777 | |
552,8455,8473 | |
553,3096,3145 | |
555,572,797 | |
555,6148,6173 | |
559,840,1009 | |
560,1161,1289 | |
560,1551,1649 | |
560,3111,3161 | |
561,1240,1361 | |
564,2173,2245 | |
564,8827,8845 | |
565,6372,6397 | |
567,3256,3305 | |
568,5025,5057 | |
576,943,1105 | |
580,741,941 | |
580,3339,3389 | |
581,3420,3469 | |
583,1344,1465 | |
584,5313,5345 | |
585,928,1097 | |
585,2072,2153 | |
585,6832,6857 | |
588,2365,2437 | |
588,9595,9613 | |
592,1305,1433 | |
595,3588,3637 | |
595,7068,7093 | |
600,5609,5641 | |
600,9991,10009 | |
603,2204,2285 | |
605,7308,7333 | |
609,3760,3809 | |
611,1020,1189 | |
612,1075,1237 | |
615,728,953 | |
615,7552,7577 | |
616,663,905 | |
616,1887,1985 | |
616,5913,5945 | |
620,861,1061 | |
620,3819,3869 | |
623,3936,3985 | |
624,1457,1585 | |
627,1564,1685 | |
632,6225,6257 | |
635,8052,8077 | |
636,2773,2845 | |
637,1116,1285 | |
639,2480,2561 | |
640,4071,4121 | |
644,2067,2165 | |
645,812,1037 | |
645,8308,8333 | |
648,6545,6577 | |
649,1680,1801 | |
651,4300,4349 | |
655,8568,8593 | |
656,1617,1745 | |
657,2624,2705 | |
660,779,1021 | |
660,989,1189 | |
660,2989,3061 | |
660,4331,4381 | |
663,1216,1385 | |
664,6873,6905 | |
665,4488,4537 | |
665,8832,8857 | |
671,1800,1921 | |
672,2255,2353 | |
679,4680,4729 | |
680,4599,4649 | |
680,7209,7241 | |
684,1363,1525 | |
685,9372,9397 | |
688,1785,1913 | |
689,1320,1489 | |
693,1924,2045 | |
693,2924,3005 | |
693,4876,4925 | |
695,9648,9673 | |
696,697,985 | |
696,7553,7585 | |
700,2451,2549 | |
704,903,1145 | |
705,992,1217 | |
705,9928,9953 | |
707,5076,5125 | |
708,3445,3517 | |
711,3080,3161 | |
712,7905,7937 | |
715,1428,1597 | |
715,2052,2173 | |
720,1519,1681 | |
720,1961,2089 | |
720,5159,5209 | |
721,5280,5329 | |
728,2655,2753 | |
728,8265,8297 | |
731,780,1069 | |
732,3685,3757 | |
735,1088,1313 | |
737,2184,2305 | |
740,1269,1469 | |
740,5451,5501 | |
741,1540,1709 | |
744,817,1105 | |
744,8633,8665 | |
747,3404,3485 | |
748,1035,1277 | |
749,5700,5749 | |
752,2145,2273 | |
756,2867,2965 | |
759,2320,2441 | |
760,5751,5801 | |
760,9009,9041 | |
763,5916,5965 | |
765,868,1157 | |
765,3572,3653 | |
767,1656,1825 | |
776,9393,9425 | |
777,6136,6185 | |
780,1421,1621 | |
780,4189,4261 | |
780,6059,6109 | |
781,2460,2581 | |
784,2337,2465 | |
791,6360,6409 | |
792,1175,1417 | |
792,1855,2017 | |
792,9785,9817 | |
793,1776,1945 | |
795,1292,1517 | |
799,960,1249 | |
801,3920,4001 | |
803,2604,2725 | |
804,4453,4525 | |
805,6588,6637 | |
812,3315,3413 | |
816,2537,2665 | |
819,1900,2069 | |
819,4100,4181 | |
819,6820,6869 | |
820,1581,1781 | |
820,6699,6749 | |
825,2752,2873 | |
828,2035,2197 | |
832,855,1193 | |
833,1056,1345 | |
836,1323,1565 | |
840,1081,1369 | |
840,3551,3649 | |
840,7031,7081 | |
847,7296,7345 | |
848,2745,2873 | |
852,5005,5077 | |
855,4472,4553 | |
860,1749,1949 | |
860,7371,7421 | |
861,7540,7589 | |
868,3795,3893 | |
869,3060,3181 | |
871,2160,2329 | |
873,4664,4745 | |
875,7788,7837 | |
876,5293,5365 | |
880,1479,1721 | |
880,2961,3089 | |
880,7719,7769 | |
884,987,1325 | |
885,1628,1853 | |
888,1225,1513 | |
889,8040,8089 | |
891,3220,3341 | |
893,924,1285 | |
896,4047,4145 | |
897,2296,2465 | |
900,2419,2581 | |
901,1260,1549 | |
903,8296,8345 | |
909,5060,5141 | |
912,3185,3313 | |
913,3384,3505 | |
915,1748,1973 | |
917,8556,8605 | |
920,8439,8489 | |
923,2436,2605 | |
924,1643,1885 | |
924,4307,4405 | |
924,5893,5965 | |
927,5264,5345 | |
931,1020,1381 | |
935,1368,1657 | |
935,3552,3673 | |
936,1127,1465 | |
936,2623,2785 | |
940,2109,2309 | |
940,8811,8861 | |
944,3417,3545 | |
945,9088,9137 | |
948,6205,6277 | |
949,2580,2749 | |
952,4575,4673 | |
957,3724,3845 | |
959,9360,9409 | |
960,9191,9241 | |
963,5684,5765 | |
969,1120,1481 | |
969,1480,1769 | |
973,9636,9685 | |
975,2728,2897 | |
976,3657,3785 | |
979,3900,4021 | |
980,2301,2501 | |
980,9579,9629 | |
981,5900,5981 | |
984,1537,1825 | |
987,9916,9965 | |
988,1275,1613 | |
996,6853,6925 | |
1001,2880,3049 | |
1001,4080,4201 | |
1003,1596,1885 | |
1005,2132,2357 | |
1007,1224,1585 | |
1008,3055,3217 | |
1008,3905,4033 | |
1008,5135,5233 | |
1012,1995,2237 | |
1017,6344,6425 | |
1020,2501,2701 | |
1020,7189,7261 | |
1023,4264,4385 | |
1027,3036,3205 | |
1032,1705,1993 | |
1035,6572,6653 | |
1036,1173,1565 | |
1036,5427,5525 | |
1037,1716,2005 | |
1040,1431,1769 | |
1040,4161,4289 | |
1044,3283,3445 | |
1045,1332,1693 | |
1045,4452,4573 | |
1053,3196,3365 | |
1056,2183,2425 | |
1060,2709,2909 | |
1064,5727,5825 | |
1065,2408,2633 | |
1067,4644,4765 | |
1068,7885,7957 | |
1071,1840,2129 | |
1071,7040,7121 | |
1072,4425,4553 | |
1079,3360,3529 | |
1089,7280,7361 | |
1092,1325,1717 | |
1092,1595,1933 | |
1092,6035,6133 | |
1092,8245,8317 | |
1095,2552,2777 | |
1100,2379,2621 | |
1104,4697,4825 | |
1105,1968,2257 | |
1105,3528,3697 | |
1111,5040,5161 | |
1113,1184,1625 | |
1116,3763,3925 | |
1120,6351,6449 | |
1121,1560,1921 | |
1125,7772,7853 | |
1128,2065,2353 | |
1131,3700,3869 | |
1133,5244,5365 | |
1136,4977,5105 | |
1139,2100,2389 | |
1140,1219,1669 | |
1140,3149,3349 | |
1140,8989,9061 | |
1143,8024,8105 | |
1144,1767,2105 | |
1144,2583,2825 | |
1148,1485,1877 | |
1148,6675,6773 | |
1152,4015,4177 | |
1155,1292,1733 | |
1155,2852,3077 | |
1155,5452,5573 | |
1157,3876,4045 | |
1159,1680,2041 | |
1164,9373,9445 | |
1168,5265,5393 | |
1173,2236,2525 | |
1176,2257,2545 | |
1177,5664,5785 | |
1179,8540,8621 | |
1180,3381,3581 | |
1185,3008,3233 | |
1188,2795,3037 | |
1196,1947,2285 | |
1197,1804,2165 | |
1197,8804,8885 | |
1199,5880,6001 | |
1200,5561,5689 | |
1204,1653,2045 | |
1204,7347,7445 | |
1207,2376,2665 | |
1209,4240,4409 | |
1220,3621,3821 | |
1221,6100,6221 | |
1224,4543,4705 | |
1232,3015,3257 | |
1232,5865,5993 | |
1232,7695,7793 | |
1233,9344,9425 | |
1235,1932,2293 | |
1235,4428,4597 | |
1239,1520,1961 | |
1241,2520,2809 | |
1243,6324,6445 | |
1245,3332,3557 | |
1248,1265,1777 | |
1248,2135,2473 | |
1251,9620,9701 | |
1260,1829,2221 | |
1260,3869,4069 | |
1260,4819,4981 | |
1260,8051,8149 | |
1261,4620,4789 | |
1264,6177,6305 | |
1265,6552,6673 | |
1272,2665,2953 | |
1273,2064,2425 | |
1275,2668,2957 | |
1276,3243,3485 | |
1281,1640,2081 | |
1287,4816,4985 | |
1287,6784,6905 | |
1288,8415,8513 | |
1296,6497,6625 | |
1300,2331,2669 | |
1309,2820,3109 | |
1309,7020,7141 | |
1311,1360,1889 | |
1311,2200,2561 | |
1312,1425,1937 | |
1313,5016,5185 | |
1316,2013,2405 | |
1316,8787,8885 | |
1320,1711,2161 | |
1320,2881,3169 | |
1320,3479,3721 | |
1328,6825,6953 | |
1332,5395,5557 | |
1335,3848,4073 | |
1339,5220,5389 | |
1340,4389,4589 | |
1343,2976,3265 | |
1344,9167,9265 | |
1349,2340,2701 | |
1353,7504,7625 | |
1357,1476,2005 | |
1360,7161,7289 | |
1364,3723,3965 | |
1365,1892,2333 | |
1365,4028,4253 | |
1365,5428,5597 | |
1368,5695,5857 | |
1375,7752,7873 | |
1376,1593,2105 | |
1377,3136,3425 | |
1380,1891,2341 | |
1380,4661,4861 | |
1387,2484,2845 | |
1391,5640,5809 | |
1392,7505,7633 | |
1397,8004,8125 | |
1400,9951,10049 | |
1403,1596,2125 | |
1404,2747,3085 | |
1407,2024,2465 | |
1408,3975,4217 | |
1411,3300,3589 | |
1416,3337,3625 | |
1417,5856,6025 | |
1419,8260,8381 | |
1420,4941,5141 | |
1424,7857,7985 | |
1425,2632,2993 | |
1428,1475,2053 | |
1428,2405,2797 | |
1440,1769,2281 | |
1440,6319,6481 | |
1441,8520,8641 | |
1443,6076,6245 | |
1449,1720,2249 | |
1455,4592,4817 | |
1456,2967,3305 | |
1456,8217,8345 | |
1460,5229,5429 | |
1463,2784,3145 | |
1463,8784,8905 | |
1464,3577,3865 | |
1469,6300,6469 | |
1476,6643,6805 | |
1479,3640,3929 | |
1484,2613,3005 | |
1485,9052,9173 | |
1488,8585,8713 | |
1491,2300,2741 | |
1495,1848,2377 | |
1495,6528,6697 | |
1496,1647,2225 | |
1496,4503,4745 | |
1501,2940,3301 | |
1504,1953,2465 | |
1507,9324,9445 | |
1508,3195,3533 | |
1513,3816,4105 | |
1515,4988,5213 | |
1520,8961,9089 | |
1525,1548,2173 | |
1529,9600,9721 | |
1533,2444,2885 | |
1539,3100,3461 | |
1540,2829,3221 | |
1540,4779,5021 | |
1540,5829,6029 | |
1541,1980,2509 | |
1545,5192,5417 | |
1547,3996,4285 | |
1547,6996,7165 | |
1548,7315,7477 | |
1551,9880,10001 | |
1552,9345,9473 | |
1560,2479,2929 | |
1560,3431,3769 | |
1560,4081,4369 | |
1564,1827,2405 | |
1568,2145,2657 | |
1573,7236,7405 | |
1575,1672,2297 | |
1577,3264,3625 | |
1580,6141,6341 | |
1581,4180,4469 | |
1584,5063,5305 | |
1584,7663,7825 | |
1584,9737,9865 | |
1596,3053,3445 | |
1599,7480,7649 | |
1605,5612,5837 | |
1608,4345,4633 | |
1612,3675,4013 | |
1615,3432,3793 | |
1615,4368,4657 | |
1620,6461,6661 | |
1625,7728,7897 | |
1628,5355,5597 | |
1632,2015,2593 | |
1632,2345,2857 | |
1633,2256,2785 | |
1635,5828,6053 | |
1649,4560,4849 | |
1651,7980,8149 | |
1652,3285,3677 | |
1653,3604,3965 | |
1656,8383,8545 | |
1659,2900,3341 | |
1660,6789,6989 | |
1664,3927,4265 | |
1672,5655,5897 | |
1675,1932,2557 | |
1677,8236,8405 | |
1679,2400,2929 | |
1680,2911,3361 | |
1683,4756,5045 | |
1691,3780,4141 | |
1692,1885,2533 | |
1692,8755,8917 | |
1695,6272,6497 | |
1696,2553,3065 | |
1700,2211,2789 | |
1703,8496,8665 | |
1704,4897,5185 | |
1708,3525,3917 | |
1716,4187,4525 | |
1716,5963,6205 | |
1717,4956,5245 | |
1725,2068,2693 | |
1725,2548,3077 | |
1729,3960,4321 | |
1729,8760,8929 | |
1740,3139,3589 | |
1740,7469,7669 | |
1743,3224,3665 | |
1748,1755,2477 | |
1751,5160,5449 | |
1752,5185,5473 | |
1755,9028,9197 | |
1760,2769,3281 | |
1760,6279,6521 | |
1764,2077,2725 | |
1764,9523,9685 | |
1767,4144,4505 | |
1768,2415,2993 | |
1768,4455,4793 | |
1771,2700,3229 | |
1775,2208,2833 | |
1780,7821,8021 | |
1781,9300,9469 | |
1785,3392,3833 | |
1785,5368,5657 | |
1785,6968,7193 | |
1800,9919,10081 | |
1804,6603,6845 | |
1807,9576,9745 | |
1809,1880,2609 | |
1815,7208,7433 | |
1817,2856,3385 | |
1819,5580,5869 | |
1820,4029,4421 | |
1820,4731,5069 | |
1820,8181,8381 | |
1824,1943,2665 | |
1824,2993,3505 | |
1825,2352,2977 | |
1833,9856,10025 | |
1836,2627,3205 | |
1843,4524,4885 | |
1848,5785,6073 | |
1848,6935,7177 | |
1853,5796,6085 | |
1860,3619,4069 | |
1860,8549,8749 | |
1863,3016,3545 | |
1869,3740,4181 | |
1872,5015,5353 | |
1876,4293,4685 | |
1881,4720,5081 | |
1887,6016,6305 | |
1888,3225,3737 | |
1892,7275,7517 | |
1896,6097,6385 | |
1900,2139,2861 | |
1904,2847,3425 | |
1905,7952,8177 | |
1908,2485,3133 | |
1909,3180,3709 | |
1917,2156,2885 | |
1919,4920,5281 | |
1920,3871,4321 | |
1921,6240,6529 | |
1924,5307,5645 | |
1925,2652,3277 | |
1932,4565,4957 | |
1940,9309,9509 | |
1952,3465,3977 | |
1955,3348,3877 | |
1955,6468,6757 | |
1957,5124,5485 | |
1960,2001,2801 | |
1965,8468,8693 | |
1971,2300,3029 | |
1972,3075,3653 | |
1975,2808,3433 | |
1976,2343,3065 | |
1976,5607,5945 | |
1980,2701,3349 | |
1980,7979,8221 | |
1980,9701,9901 | |
1988,4845,5237 | |
1989,6700,6989 | |
1992,6745,7033 | |
1995,4292,4733 | |
1995,5332,5693 | |
1995,8732,8957 | |
2001,3520,4049 | |
2016,3713,4225 | |
2024,8343,8585 | |
2025,2968,3593 | |
2033,5544,5905 | |
2037,4484,4925 | |
2040,2201,3001 | |
2040,3311,3889 | |
2040,4399,4849 | |
2040,7081,7369 | |
2044,5133,5525 | |
2047,3696,4225 | |
2052,2555,3277 | |
2055,9272,9497 | |
2057,7176,7465 | |
2059,2100,2941 | |
2068,8715,8957 | |
2071,5760,6121 | |
2075,3132,3757 | |
2079,2600,3329 | |
2080,3969,4481 | |
2080,6231,6569 | |
2085,9548,9773 | |
2091,7420,7709 | |
2093,3876,4405 | |
2100,5429,5821 | |
2108,3555,4133 | |
2109,5980,6341 | |
2112,9095,9337 | |
2117,2244,3085 | |
2120,2409,3209 | |
2121,4880,5321 | |
2124,3157,3805 | |
2125,7668,7957 | |
2128,2775,3497 | |
2132,6555,6893 | |
2133,2756,3485 | |
2136,7777,8065 | |
2139,4060,4589 | |
2144,4233,4745 | |
2147,6204,6565 | |
2156,9483,9725 | |
2159,7920,8209 | |
2163,5084,5525 | |
2175,2392,3233 | |
2175,3472,4097 | |
2176,3807,4385 | |
2184,2263,3145 | |
2184,6887,7225 | |
2184,8137,8425 | |
2185,4248,4777 | |
2185,6432,6793 | |
2193,8176,8465 | |
2196,3397,4045 | |
2200,9879,10121 | |
2204,3003,3725 | |
2208,4505,5017 | |
2212,6045,6437 | |
2220,5251,5701 | |
2223,6664,7025 | |
2225,3648,4273 | |
2227,8436,8725 | |
2231,4440,4969 | |
2233,2544,3385 | |
2236,7227,7565 | |
2241,3080,3809 | |
2244,4067,4645 | |
2247,5504,5945 | |
2261,6900,7261 | |
2261,8700,8989 | |
2268,6365,6757 | |
2272,4785,5297 | |
2275,3828,4453 | |
2277,4636,5165 | |
2280,2849,3649 | |
2280,3239,3961 | |
2280,5551,6001 | |
2280,8881,9169 | |
2288,7575,7913 | |
2289,5720,6161 | |
2291,2700,3541 | |
2295,3248,3977 | |
2295,8968,9257 | |
2299,7140,7501 | |
2323,4836,5365 | |
2324,6693,7085 | |
2325,2332,3293 | |
2325,4012,4637 | |
2328,9265,9553 | |
2329,9240,9529 | |
2336,5073,5585 | |
2337,7384,7745 | |
2340,3901,4549 | |
2340,7931,8269 | |
2349,2860,3701 | |
2356,3483,4205 | |
2360,3081,3881 | |
2363,9516,9805 | |
2369,5040,5569 | |
2373,6164,6605 | |
2375,7632,7993 | |
2380,4611,5189 | |
2380,7029,7421 | |
2387,2484,3445 | |
2392,8295,8633 | |
2397,9796,10085 | |
2400,5369,5881 | |
2403,3596,4325 | |
2407,3024,3865 | |
2412,4165,4813 | |
2413,7884,8245 | |
2415,5248,5777 | |
2415,6392,6833 | |
2425,4392,5017 | |
2432,3735,4457 | |
2436,2923,3805 | |
2436,7373,7765 | |
2440,3321,4121 | |
2444,8667,9005 | |
2448,4895,5473 | |
2449,2640,3601 | |
2451,8140,8501 | |
2457,3776,4505 | |
2460,6499,6949 | |
2461,5460,5989 | |
2464,5673,6185 | |
2465,3192,4033 | |
2475,4588,5213 | |
2489,8400,8761 | |
2492,7725,8117 | |
2496,9047,9385 | |
2507,5676,6205 | |
2508,2765,3733 | |
2508,3995,4717 | |
2511,2800,3761 | |
2516,5187,5765 | |
2520,3569,4369 | |
2525,4788,5413 | |
2528,5985,6497 | |
2541,7100,7541 | |
2548,9435,9773 | |
2553,5896,6425 | |
2556,4717,5365 | |
2565,4148,4877 | |
2565,8932,9293 | |
2573,2964,3925 | |
2575,4992,5617 | |
2576,2607,3665 | |
2580,7171,7621 | |
2581,3540,4381 | |
2584,4263,4985 | |
2584,5487,6065 | |
2592,6305,6817 | |
2596,2997,3965 | |
2599,6120,6649 | |
2600,9831,10169 | |
2603,9204,9565 | |
2604,3403,4285 | |
2604,8453,8845 | |
2619,4340,5069 | |
2625,7592,8033 | |
2628,5005,5653 | |
2635,3132,4093 | |
2639,3720,4561 | |
2640,7519,7969 | |
2641,9480,9841 | |
2652,5795,6373 | |
2656,6633,7145 | |
2660,4539,5261 | |
2660,8829,9221 | |
2667,7844,8285 | |
2668,2835,3893 | |
2675,5412,6037 | |
2679,9760,10121 | |
2680,4089,4889 | |
2684,3237,4205 | |
2688,3655,4537 | |
2691,6580,7109 | |
2697,3304,4265 | |
2697,3904,4745 | |
2716,9213,9605 | |
2720,6111,6689 | |
2720,6969,7481 | |
2725,5628,6253 | |
2727,4736,5465 | |
2736,4823,5545 | |
2737,6816,7345 | |
2739,2900,3989 | |
2751,8360,8801 | |
2755,4092,4933 | |
2759,3480,4441 | |
2760,3071,4129 | |
2760,4361,5161 | |
2760,8239,8689 | |
2772,3485,4453 | |
2772,5605,6253 | |
2772,9605,9997 | |
2775,5848,6473 | |
2781,4940,5669 | |
2783,7056,7585 | |
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2844,5917,6565 | |
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2852,3315,4373 | |
2856,4183,5065 | |
2856,6767,7345 | |
2860,3741,4709 | |
2871,4480,5321 | |
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3333,4556,5645 | |
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3360,5959,6841 | |
3367,3456,4825 | |
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3379,5460,6421 | |
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6435,9212,11237 | |
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6681,7280,9881 | |
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6783,7544,10145 | |
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7301,9900,12301 | |
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8080,8601,11801 | |
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9211,9540,13261 | |
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9333,9844,13565 | |
9416,9513,13385 | |
9592,9945,13817 |
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