高々３種類の桁数字をもつ累乗数

　
愉快な等式

高々３種類の桁数字をもつ累乗数　（＜ 10²⁴ ）

平方数

[ 1 ] 1² = 1

[ 4 ] 2² = 4

[ 9 ] 3² = 9

[ 1, 2 ] 11² = 121

[ 1, 4 ] 12² = 144, 21² = 441, 38² = 1444

[ 1, 6 ] 81619² = 6661661161

[ 1, 8 ] 9² = 81, 109² = 11881

[ 2, 5 ] 5² = 25, 15² = 225, 235² = 55225

[ 2, 9 ] 173² = 29929

[ 3, 6 ] 6² = 36

[ 4, 6 ] 8² = 64

[ 4, 7 ] 88² = 7744

[ 4, 8 ] 22² = 484

[ 4, 9 ] 7² = 49, 212² = 44944

[ 6, 7 ] 26² = 676

[ 6, 9 ] 264² = 69696, 3114² = 9696996

[ 0, 1, 2 ]
147 101² = 10201, 149² = 22201, 1001² = 1002001, 1011² = 1022121, 1101² = 1212201,
10001² = 100020001, 10011² = 100220121, 11001² = 121022001,
14499² = 210221001, 100001² = 10000200001, 100011² = 10002200121,
100101² = 10020210201, 101001² = 10201202001, 110001² = 12100220001,
316261² = 100021020121, 1000001² = 1000002000001, 1000011² = 1000022000121,
1000101² = 1000202010201, 1010001² = 1020102020001, 1010011² = 1020122220121,
1100001², 1100101², 10000001², 10000011², 10000101², 10001001², 10001011²,
10001101², 10010001², 10100001², 10100011², 10110001², 11000001², 11000101²,
11010001², 100000001², 100000011², 100000101², 100001001², 100001011²,
100001101², 100100001², 100100011², 101000001², 101000011², 101100001²,
110000001², 110000101², 110001001², 110100001², 1000000001², 1000000011²,
1000000101², 1000001001², 1000001011², 1000001101², 1000010001², 1000010011²,
1000011001², 1000100001², 1000100101², 1000101001², 1001000001², 1001000011²,
1001000101², 1001010001², 1001100001², 1010000001², 1010000011², 1010001001²,
1010010001², 1011000001², 1100000001², 1100000101², 1100001001², 1100100001²,
1101000001², 10000000001², 10000000011², 10000000101², 10000001001²,
10000001011², 10000001101², 10000010001², 10000010011², 10000011001²,
10001000001², 10001000011², 10010000001², 10010000011², 10010000101²,
10011000001², 10100000001², 10100000011², 10100001001², 10110000001²,
11000000001², 11000000101², 11000001001², 11000010001², 11001000001²,
11010000001², 100000000001², 100000000011², 100000000101², 100000001001²,
100000001011², 100000001101², 100000010001², 100000010011², 100000011001²,
100000100001², 100000100011², 100000100101², 100000101001², 100000110001²,
100001000001², 100001000101², 100001010001², 100010000001², 100010000011²,
100010000101², 100010100001², 100011000001², 100100000001², 100100000011²,
100100000101², 100101000001², 100110000001², 100110000101², 101000000001²,
101000000011², 101000001001², 101000010001², 101000010011², 101000011001²,
101000100001², 101001000001², 101100000001², 110000000001², 110000000101²,
110000001001², 110000010001², 110001000001², 110010000001², 110010000101²,
110100000001²

[ 0, 1, 4 ]
56 102² = 10404, 201² = 40401, 1002² = 1004004, 1049² = 1100401, 2001² = 4004001,
10002² = 100040004, 10679² = 114041041, 20001² = 400040001,
20348² = 414041104, 100002² = 10000400004, 100549² = 10110101401,
200001² = 40000400001, 202512² = 41011110144, 375501² = 141001001001,
643771² = 414441100441, 1000002² = 1000004000004, 1020348² = 1041110041104,
2000001² = 4000004000001, 2002848² = 4011400111104, 10000002²,
10200201², 20000001², 20024988² = 401000144400144, 20100102², 100000002²,
100202001², 102000201², 104930501² = 11010410040111001, 200000001²,
200101002², 201000102², 374701229² = 140401011014110441, 1000000002²,
1000555348² = 1001111004411401104, 1020000201², 2000000001², 2010000102²,
10000000002², 10002020001², 10020002001², 10200000201²,
10204949799² = 104141000400110140401, 20000000001², 20001010002²,
20010001002², 20100000102², 100000000002², 100020020001², 100200002001²,
102000000201², 200000000001², 200010010002², 200100001002²,
201000000102², 316249918751² = 100014011110014101400001,
632490395501² = 400044100401011401041001

[ 0, 1, 5 ] 74499² = 5550101001, 124499² = 15500001001

[ 0, 1, 6 ]
12 10301² = 106110601, 10496² = 110166016, 10801² = 116661601,
1003001² = 1006011006001, 1008001² = 1016066016001,
100030001² = 10006001100060001, 100080001² = 10016006600160001,
326498249² = 106601106600066001, 10000300001² = 100006000110000600001,
10000800001² = 100016000660001600001,
24698199551² = 610001061061016601601,
40012700004² = 1601016161610101600016

[ 0, 1, 7 ] 27749² = 770007001

[ 0, 1, 8 ]
30 901² = 811801, 1009² = 1018081, 9001² = 81018001, 10009² = 100180081,
10401² = 108180801, 90001² = 8100180001, 100009² = 10001800081,
100901² = 10181011801, 900001², 1000009², 1004001² = 1008018008001,
8954391² = 80181118180881, 9000001², 10000009², 10009001² = 100180101018001,
34351141² = 1180000888001881, 90000001², 100000009²,
100040001² = 10008001800080001, 900000001², 1000000009²,
1000090001² = 1000180010100180001, 3163554991² = 10008080181081010081,
9000000001², 10000000009², 10000400001², 90000000001², 100000000009²,
100000900001², 900000000001²

[ 0, 2, 4 ]
11 1498² = 2244004, 6498² = 42224004, 20602² = 424442404,
148998² = 22200404004, 2006002² = 4024044024004,
6343832² = 40244204444224, 47351898² = 2242202244202404,
200060002² = 40024004400240004, 201002498² = 40402004202240004,
20000600002² = 400024000440002400004,
46929738998² = 2202400402420402044004

[ 0, 2, 5 ]
67 45² = 2025, 505² = 255025, 745² = 555025, 1415² = 2002225,
1485² = 2205225, 4495² = 20205025, 5005² = 25050025, 15985² = 255520225,
50005² = 2500500025, 72495² = 5255525025, 469255² = 220200255025,
500005² = 250005000025, 500505² = 250505255025,
1597505² = 2552022225025, 1598515² = 2555250205225,
4474955² = 20025222252025, 5000005² = 25000050000025,
5000505² = 25005050255025, 5050005² = 25502550500025,
7085235² = 50200555005225, 15008515² = 225255522505225,
44949995² = 2020502050500025, 50000005² = 2500000500000025,
50000505², 50005005², 50500005², 500000005², 500000505², 500005005²,
500254955² = 250255020002052025, 500500005², 505000005²,
1500839765² = 2252520000205255225, 5000000005², 5000000505²,
5000005005², 5000050005², 5005000005², 5005050005²,
5050000005², 5050005005², 44949994995² = 2020502050050525050025,
50000000005², 50000000505², 50000005005², 50000050005²,
50005000005², 50020051235² = 2502005525552025025225,
50049995505² = 2505002050050520205025, 50050000005², 50050000505²,
50500000005², 50500005005², 50552450045² = 2555550205552220502025,
150000850015² = 22500255005222525500225, 500000000005², 500000000505²,
500000005005², 500000050005², 500000500005², 500000500505²,
500050000005², 500050500005², 500500000005², 500500000505²,
505000000005², 505000005005², 505000050005²

[ 0, 2, 9 ] 47² = 2209, 547² = 299209, 1703² = 2900209, 538703² = 290200922209

[ 0, 3, 4 ] 548² = 300304, 585688² = 343030433344, 58591812² = 3433000433443344,
200824138² = 40330334403443044

[ 0, 3, 6 ] 1740871344² = 3030633036360366336

[ 0, 3, 9 ] 969071253² = 939099093390990009

[ 0, 4, 5 ]
7 224612² = 50450550544, 233462² = 54504505444, 7376002² = 54405405504004,
21072602² = 444054555050404, 22370752² = 500450545045504,
7386136002² = 54555005040040544004,
735156748252² = 540455444500454505055504

[ 0, 4, 6 ]
7 20992² = 440664064, 21602² = 466646404, 215408² = 46400606464,
800037502² = 640060004606400004, 21120134092² = 446060064064060664464,
25815899102² = 666460646444644406404,
80025400008² = 6404064646440406400064

[ 0, 4, 7 ] 638² = 407044

[ 0, 4, 8 ]
147 202² = 40804, 298² = 88804, 2002² = 4008004, 2022² = 4088484,
2202² = 4848804, 20002², 20022² = 400880484, 22002² = 484088004,
28998² = 840884004, 200002², 200022², 200202², 202002², 220002²,
632522² = 400084080484, 2000002², 2000022², 2000202², 2020002²,
2020022², 2200002², 2200202², 20000002², 20000022², 20000202²,
20002002², 20002022², 20002202², 20020002², 20200002², 20200022²,
20220002², 22000002², 22000202², 22020002², 200000002², 200000022²,
200000202², 200002002², 200002022², 200002202², 200200002², 200200022²,
202000002², 202000022², 202200002², 220000002², 220000202², 220002002²,
220200002², 2000000002², 2000000022², 2000000202², 2000002002²,
2000002022², 2000002202², 2000020002², 2000020022², 2000022002²,
2000200002², 2000200202², 2000202002², 2002000002², 2002000022²,
2002000202², 2002020002², 2002200002², 2020000002², 2020000022²,
2020002002², 2020020002², 2022000002², 2200000002², 2200000202²,
2200002002², 2200200002², 2202000002², 20000000002², 20000000022²,
20000000202², 20000002002², 20000002022², 20000002202², 20000020002²,
20000020022², 20000022002², 20002000002², 20002000022², 20020000002²,
20020000022², 20020000202², 20022000002², 20200000002², 20200000022²,
20200002002², 20220000002², 22000000002², 22000000202², 22000002002²,
22000020002², 22002000002², 22020000002², 200000000002²,
200000000022², 200000000202², 200000002002², 200000002022²,
200000002202², 200000020002², 200000020022², 200000022002²,
200000200002², 200000200022², 200000200202², 200000202002²,
200000220002², 200002000002², 200002000202², 200002020002²,
200020000002², 200020000022², 200020000202², 200020200002²,
200022000002², 200200000002², 200200000022², 200200000202²,
200202000002², 200220000002², 200220000202², 202000000002²,
202000000022², 202000002002², 202000020002², 202000020022²,
202000022002², 202000200002², 202002000002², 202200000002²,
220000000002², 220000000202², 220000002002², 220000020002²,
220002000002², 220020000002², 220020000202², 220200000002²

[ 0, 4, 9 ]
18 97² = 9409, 997² = 994009, 3148² = 9909904, 9997² = 99940009,
20102² = 404090404, 99997² = 9999400009, 999997² = 999994000009,
2001002² = 4004009004004, 3074003² = 9449494444009, 9999997²,
99999997², 200010002², 999999997², 9999999997², 20000100002²,
99999999997², 953671853653² = 909490004449949049444409, 999999999997²

[ 0, 5, 9 ] 70778174997² = 5009550055905955950009,
771395165003² = 595050500590005595990009

[ 0, 6, 7 ] 8226² = 67667076, 818576² = 670066667776, 8124474² = 66007077776676

[ 0, 6, 9 ] 813² = 660969, 81240813² = 6600069696900969,
262861353² = 69096090900990609

[ 0, 8, 9 ] 283² = 80089

[ 1, 2, 3 ]
8 111² = 12321, 36361² = 1322122321, 363639² = 132233322321,
461761² = 213223221121, 3636361² = 13223121322321,
34815389² = 1212111311221321, 362397739² = 131332121232312121,
176412364139² = 31121322221111133211321

[ 1, 2, 4 ]
23 338² = 114244, 1488² = 2214144, 3338² = 11142244, 11011² = 121242121,
20521² = 421111441, 33338² = 1111422244, 210771² = 44424414441,
333338² = 111114222244, 3333338², 14636332² = 214222214414224,
15570521² = 242441124211441, 20279162² = 411244411422244, 33333338²,
45947921² = 2111211444222241, 49136668² = 2414412142142224,
66641662² = 4441111114122244, 333333338², 648940838² = 421124211224142244,
3333333338², 6412661079² = 41122222114121444241,
14632642079² = 214114214212121442241, 33333333338², 333333333338²

[ 1, 2, 5 ]
43 35² = 1225, 39² = 1521, 335² = 112225, 461² = 212521, 715² = 511225,
1235² = 1525225, 1585² = 2512225, 2261² = 5112121, 2285² = 5221225,
3335² = 11122225, 12335² = 152152225, 33335², 33989² = 1155252121,
34965² = 1222551225, 72285² = 5225121225, 123335² = 15211522225,
333335², 1101011² = 1212225222121, 1233335² = 1521115222225,
3333335², 11054965² = 122212251151225, 12333335² = 152111152222225,
14579285² = 212555551111225, 33333335², 105934485² = 11222115112215225,
123333335², 333333335², 1074826289² = 1155251551525511521,
1233333335², 1487118765² = 2211522221215125225, 3333333335²,
3333504485² = 11112252151515115225, 4638162515² = 21512551515551125225,
7453289289² = 55551521225522125521, 12333333335², 33333333335²,
33333504485² = 1111122521251515115225,
34821288765² = 1212522151255515225225,
72467379665² = 5251521115511255512225,
123333333335², 124588167665² = 15522211522122151552225,
333333333335², 333333504485² = 111111225212251515115225

[ 1, 2, 6 ]
11 46² = 2116, 511² = 261121, 1619² = 2621161, 78881² = 6222212161,
81404² = 6626611216, 161761² = 26166621121, 1105046² = 1221126662116,
1456404² = 2121112611216, 4595881² = 21122122166161,
814010204² = 662612612216121616, 128884685369² = 16611262122666122666161

[ 1, 2, 7 ] 1489² = 2217121, 4596489² = 21127711127121

[ 1, 2, 8 ]
17 91² = 8281, 359² = 128881, 3359² = 11282881, 15109² = 228281881,
33359² = 1112822881, 333359² = 111128222881, 3333359² = 11111282222881,
14903989² = 222128888112121, 15127091² = 228828882122281,
28497739² = 812121128112121, 33333359², 90450109² = 8181222218111881,
333333359², 3333333359², 33333333359²,
46023126591² = 2118128181211211281281, 333333333359²

[ 1, 2, 9 ]
9 3161² = 9991921, 34827² = 1212919929, 43923² = 1929229929,
44623² = 1991212129, 54123² = 2929299129, 1108661² = 1229129212921,
9603239² = 92222199291121, 14832161² = 219992999929921,
9960980373² = 99221129991291219129

[ 1, 3, 4 ]
6 1188² = 1411344, 20771² = 431434441, 37962² = 1441113444,
3378512² = 11414343334144, 11594538² = 134433311433444,
65833989271² = 4334114143334143111441

[ 1, 3, 6 ]
17 19² = 361, 56² = 3136, 369² = 136161, 796² = 633616, 1146² = 1313316,
1156² = 1336336, 3656² = 13366336, 8131² = 66113161, 19056² = 363131136,
40204² = 1616361616, 258131² = 66631613161, 5624381² = 31633661633161,
24762131² = 613163131661161, 362789631² = 131616316361116161,
1079982019² = 1166361161363316361, 11666754546² = 136113161636611666116,
562726517354² = 316661133333361663161316

[ 1, 3, 8 ] 3652141² = 13338133883881

[ 1, 4, 5 ]
6 10729² = 115111441, 39388² = 1551414544, 664388² = 441411414544,
10743112² = 115414455444544, 6415259271² = 41155551514151451441,
10701193462² = 114515541511151545444

[ 1, 4, 6 ]
24 108² = 11664, 119² = 14161, 121² = 14641, 129² = 16641, 204² = 41616, 408² = 166464,
804² = 646416, 2538² = 6441444 3408² = 11614464, 6642² = 44116164,
12908² = 166616464, 25771² = 664144441, 78196² = 6114614416,
333858² = 111461164164, 204000408² = 41616166464166464,
668164962² = 446444416444461444, 813118358² = 661161464116616164,
4018285038² = 16146614646614661444, 12006850738² = 144164464644611144644,
12694138988² = 161141164646661664144,
12706943631² = 161466416441411464161,
40182224262² = 1614611146641661444644,
40578463021² = 1646611661146664446441,
785153912392² = 616466666144464411161664

[ 1, 4, 7 ]
4 2729² = 7447441, 2036462² = 4147177477444, 2678521² = 7174474747441,
1203108962² = 1447471174444717444

[ 1, 4, 8 ]
13 29² = 841, 122² = 14884, 221² = 48841, 1191² = 1418481, 20359² = 414488881,
12017441² = 144418888188481, 64352012² = 4141181448448144,
69362229² = 4811118811848441, 105741122² = 11181184881818884,
1347014779² = 1814448814844418841, 10715008859² = 114811414848448481881,
664190348029² = 441148818414884144184841,
940313186572² = 884188888841188881111184

[ 1, 4, 9 ]
8 107² = 11449, 31488² = 991494144, 70107² = 4914991449,
387288² = 149991994944, 95610729² = 9141411499911441,
446653271² = 199499144494999441, 3148717107² = 9914419419914449449,
21081079479² = 444411911999914911441

[ 1, 5, 6 ]
25 34² = 1156, 81² = 6561, 334² = 111556, 746² = 556516, 2581² = 6661561,
3334² = 11115556, 12869² = 165611161, 33334² = 1111155556, 39581² = 1566655561,
333334² = 111111555556, 1245454² = 1551155666116, 1249666² = 1561665111556,
3333334², 12496666² = 156166661115556, 33333334², 333333334²,
2261749666² = 5115511551651111556, 3333333334²,
3939100869² = 15516515656156555161, 12851113246² = 165151111661516656516,
22706069919² = 515565611166516666561, 33333333334²,
78493000746² = 6161151166111556556516,
235722539581² = 55565115666516111655561, 333333333334²

[ 1, 5, 8 ] 296848141² = 88118818815155881

[ 1, 6, 7 ]
8 131² = 17161, 276² = 76176, 881² = 776161, 3431² = 11771761, 81346² = 6617171716,
129119² = 16671716161, 132954² = 17676766116,
1292931424² = 1671671667166667776

[ 1, 6, 8 ]
17 41² = 1681, 1291² = 1666681, 28604² = 818188816, 78541² = 6168688681,
782104² = 611686666816, 1054119² = 1111166866161, 3341881² = 11168168618161,
4345881² = 18886681666161, 25823791² = 666868181611681,
29439546² = 866686868686116, 129105041² = 16668111611611681,
817851954² = 668881818661618116, 931064546² = 866881188818186116,
2486185454² = 6181118111681186116, 2609955204² = 6811866166886681616,
24862847104² = 618161166116881186816,
786680914454² = 618866861166181666118116

[ 1, 6, 9 ]
16 13² = 169, 14² = 196, 31² = 961, 263² = 69169, 4119² = 16966161, 24737² = 611919169,
834386² = 696199996996, 1382737² = 1911961611169, 9959514² = 99191919116196,
10775719² = 116116119966961, 341608987² = 116696699999166169,
836460469² = 699666116199699961, 998053937² = 996111661161199969,
24737858031² = 611961619961911196961,
40201507014² = 1616161166196691196196,
99599046013² = 9919969966699691196169

[ 1, 7, 8 ]
3 280859² = 78881777881, 105769141² = 11187111187877881,
279067891² = 77878887787187881

[ 1, 8, 9 ]
6 141² = 19881, 10583² = 111999889, 34641² = 1199998881,
44510583² = 1981191998999889, 105741141² = 11181188899981881,
942926927083² = 889111189818189198888889

[ 2, 3, 4 ]
8 18² = 324, 482² = 232324, 5868² = 34433424, 20838² = 434222244,
208188² = 43342243344, 492162² = 242223434244,
6582038² = 43323224233444, 2054834162² = 4222343433322242244

[ 2, 3, 5 ]
11 485² = 235225, 1885² = 3553225, 5765² = 33235225, 15885² = 252333225,
50235² = 2523555225, 57665² = 3325252225, 72335² = 5232352225,
1798765² = 3235555525225, 15249765² = 232555332555225,
187703365² = 35232553232323225,
179876492415² = 32355552523523552532225

[ 2, 3, 6 ] 14945311394² = 223362332663626223236,
179619783606² = 32263266662666266363236

[ 2, 3, 9 ]
8 577² = 332929, 1823² = 3323329, 4827² = 23299929,
3036823² = 9222293933329, 6271677² = 39333932392329,
96032923² = 9222322299923929, 179721989173² = 32299993392299929223929,
184207283323² = 33932323229239993922329

[ 2, 4, 5 ]
39 65² = 4225, 665² = 442225, 2132² = 4545424, 2335² = 5452225,
6515² = 42445225, 6665² = 44422225, 23335² = 544522225,
47162² = 2224254244, 66515² = 4424245225, 66665² = 4444222225,
67485² = 4554225225, 233335² = 54445222225, 235065² = 55255554225,
666515² = 444242245225, 666665², 2333335², 6666515², 6666665², 23333335²,
64980962² = 4222525422445444, 66666515² = 4444424222245225,
66666665², 233333335², 666666515², 666666665², 2333333335²,
5044357665² = 25445544252444252225, 6666666515², 6666666665²,
20548611935² = 422245452455224444225, 23333333335²,
23499415832² = 552222544445252252224, 66666666515², 66666666665²,
74327145415² = 5524524545542555522225, 233333333335²,
652246443112² = 425425422552255452244544, 666666666515²,
666666666665² = 444444444442222222222225

[ 2, 4, 6 ]
19 68² = 4624, 162² = 26244, 668² = 446224, 5162² = 26646244, 6668² = 44462224,
25738² = 662444644, 66668² = 4444622224, 79162² = 6266622244,
163238² = 26646644644, 666668² = 444446222224, 6666668²,
8041408² = 64664242622464, 24993332² = 624666644462224, 66666668²,
666666668², 6666666668², 8016649092² = 64266662664264424464,
66666666668², 666666666668² = 444444444446222222222224

[ 2, 4, 7 ] 88002411582² = 7744424444247727742724

[ 2, 4, 8 ]
4 168² = 28224, 478² = 228484, 2878² = 8282884,
210912978² = 44484284288828484

[ 2, 4, 9 ]
20 307² = 94249, 1557² = 2424249, 3038² = 9229444, 4788² = 22924944,
6557² = 42994249, 9607² = 92294449, 70173² = 4924249929,
222327² = 49429294929, 649788² = 422224444944,
7015857² = 49222249444449, 17173882² = 294942222949924,
22349368² = 499494249999424, 30402212² = 924294494492944,
1514009327² = 2292224242242992929, 5470304327² = 29924229429994922929,
67081614057² = 4499942944492299999249,
171739460943² = 29494442444992222449249,
205534649693² = 42244492224424224994249,
473521111382² = 224222242924444449949924,
666553067838² = 444292992244249429994244

[ 2, 5, 6 ]
28 16² = 256, 25² = 625, 75² = 5625, 475² = 225625, 515² = 265225, 516² = 266256,
725² = 525625, 5125² = 26265625, 7525² = 56625625, 22925² = 525555625,
23585² = 556252225, 72475² = 5252625625, 505525² = 255555525625,
515415² = 265652622225, 2501125² = 6255626265625,
15008516² = 225255552522256, 23711235² = 562222665225225,
72267325² = 5222566262655625, 149081275² = 22225226555625625,
250133275² = 62566655262225625, 256032335² = 65552556565552225,
505228925² = 255256266656655625, 2294919525² = 5266655626226225625,
5153315075² = 26556656262222255625,
15040686675² = 226222255655522555625,
50222133125² = 2522262655625222265625,
79153437465² = 6265266662525665626225,
250250405125² = 62625265265226626265625

[ 2, 5, 7 ]
21 85² = 7225, 165² = 27225, 1665² = 2772225, 15085² = 227557225,
16665² = 277722225, 166665² = 27777222225, 268835² = 72272257225,
1666665² = 2777772222225, 5076665² = 25772527522225, 16666665²,
52683515² = 2775552752755225, 165898335² = 27522257555772225,
166666665², 278433515² = 77525222275255225,
507668915² = 257727727257277225, 850032485² = 722555225555275225,
1508559835² = 2275752775775227225, 1666666665²,
15085017485² = 227557752522755725225, 16666666665², 166666666665²

[ 2, 5, 8 ]
10 765² = 585225, 9235² = 85285225, 7632515² = 58255285225225,
9412135² = 88588285258225, 14909235² = 222285288285225,
15891903135² = 252552585252222828225,
24142333335² = 582852258858252222225,
150086151335² = 22525852822552522282225,
150274932335² = 22582555288288828552225,
235695839765² = 55552528882528555255225

[ 2, 5, 9 ]
16 23² = 529, 77² = 5929, 173² = 29929, 315² = 99225, 1515² = 2295225,
2435² = 5929225, 7227² = 52229529, 23515² = 552955225,
54335² = 2952292225, 97773² = 9559559529, 243515² = 59299555225,
2435077² = 5929599995929, 3090673² = 9552259592929,
72497765² = 5255925929995225, 74533585² = 5555255292952225,
9639636523² = 92922592295555529529

[ 2, 6, 7 ] 526² = 276676, 1636345826² = 2677627662267622276,
512130136076² = 262277276277222276677776

[ 2, 6, 9 ]
8 964² = 929296, 3114² = 9696996, 31563² = 996222969, 163187² = 26629996969,
264437² = 69926926969, 16431563² = 269996262622969,
96032404423² = 9222222699262629962929,
99647694036² = 9929662926692269969296

[ 2, 7, 9 ]
7 27² = 729, 527² = 277729, 5223² = 27279729, 85013527² = 7227299772979729,
2824499473² = 7977797272977277729, 5271838173² = 27792277722299977929,
14907304327² = 222227722297792922929

[ 2, 8, 9 ]
6 17² = 289, 2983² = 8898289, 298327² = 88998998929,
1732017² = 2999882888289, 5412290577² = 29292889289882992929,
9964933517² = 99299899998229989289

[ 3, 4, 5 ]
10 188² = 35344, 2312² = 5345344, 5962² = 35545444, 230962² = 53343445444,
23335688² = 544554334433344, 59534388² = 3544343354534544,
2107947688² = 4443443455344545344,
18287819538² = 334444343454454533444,
213174443462² = 45443343345333434545444,
745274080688² = 555433455345343534553344

[ 3, 4, 6 ]
10 58² = 3364, 2108² = 4443664, 665908² = 443433464464,
682908² = 466363336464, 6583794² = 43346343434436,
6814942² = 46443434463364, 58622892² = 3436643466443664,
183475738² = 33663346434644644, 79651953188² = 6344433646663343363344,
666585663238² = 444336446434444344644644

[ 3, 4, 7 ] 688² = 473344

[ 3, 4, 8 ] 62² = 3844, 939938² = 883483443844, 290427872² = 84348348834448384,
620035792022² = 384444383388348838848484

[ 3, 4, 9 ] 2107² = 4439449, 586893² = 344443393449, 658357² = 433433939449

[ 3, 5, 6 ]
12 256² = 65536, 744² = 553536, 1834² = 3363556, 18806² = 353665636,
23166² = 536663556, 23566² = 555356356, 256194² = 65635365636,
2357194² = 5556363553636, 2523166² = 6366366663556,
187979694² = 35336365356333636, 2310098166² = 5336553536556563556,
19121548934² = 365633633635356536356

[ 3, 6, 7 ] 194² = 37636, 876² = 767376, 18376² = 337677376

[ 3, 6, 8 ]
4 94² = 8836, 62156² = 3863368336, 25265364906² = 638338663833336388836,
94146871344² = 8863633383863688366336

[ 3, 6, 9 ]
10 63² = 3969, 306² = 93636, 1914² = 3663396, 31086² = 966339396,
81813² = 6693366969, 190614² = 36333696996, 251787² = 63396693369,
310956² = 96693633936, 184372811544² = 33993333636639339663936,
631933060806² = 399339393339639693369636

[ 3, 8, 9 ] 583² = 339889, 58167² = 3383399889,
58295281833² = 3398339883988899839889,
199974958167² = 39989983893893399999889

[ 4, 5, 6 ]
14 216² = 46656, 238² = 56644, 258² = 66564, 738² = 544644, 6742² = 45454564,
25408² = 645566464, 80408² = 6465446464, 2377908² = 5654446456464,
80278612² = 6444655544646544, 667567716² = 445646655445456656,
6756141388² = 45645446454646566544,
6823243112² = 46556646565455444544,
23802219742² = 566545664646454546564,
81648365908² = 6666455655446656664464

[ 4, 5, 7 ]
7 6888² = 47444544, 6912² = 47775744, 7588² = 57577744, 68962² = 4755757444,
6674412² = 44547775545744, 2749137588² = 7557757477754457744,
7466242412² = 55744775754747577744

[ 4, 5, 8 ] 76478² = 5848884484, 210828² = 44448445584, 6968112² = 48554584844544,
235763622² = 55584485458558884

[ 4, 5, 9 ] 2357² = 5555449, 23357² = 545549449, 244038² = 59554545444,
678196107² = 459949959549955449

[ 4, 6, 7 ] 2108238² = 4444667464644, 8165033238² = 66667767777644764644,
876154475408² = 767646664777467676766464

[ 4, 6, 8 ]
10 92² = 8464, 262² = 68644, 2978² = 8868484, 258238² = 66686864644,
805262² = 648446888644, 9191762² = 84488488664644,
81784378² = 6688684484846884, 696037692² = 484468468684686864,
2546858238² = 6486486884468464644,
93095030408² = 8666684686666444646464

[ 4, 6, 9 ]
12 2236² = 4999696, 3157² = 9966649, 31614² = 999444996, 68187² = 4649466969,
254842² = 64944444964, 80434114² = 6469646694964996,
263527313² = 69446644696999969, 3073591864² = 9446966946446994496,
6670791907² = 44499464666496696649,
21134016762² = 446646664496496964644,
21610059386² = 466994666666446696996,
97312381892² = 9469699669494449499664

[ 4, 7, 8 ] 28² = 784, 86478² = 7478444484, 94227622² = 8878844747774884

[ 4, 7, 9 ] 893² = 797449, 69242288² = 4794494447474944,
8819171038² = 77777777797497997444

[ 4, 8, 9 ]
21 67² = 4489, 667² = 444889, 707² = 499849, 6667² = 44448889,
21212² = 449948944, 66667² = 4444488889, 666667² = 444444888889,
974417² = 949488489889, 3160457² = 9988488448849, 6666667²,
9974417² = 99488994489889, 21200212² = 449448988844944, 66666667²,
210914543² = 44484944448898849, 666666667²,
973883712² = 948449484498898944, 6666666667²,
6670081667² = 44489989444449498889, 66666666667², 666666666667²

[ 5, 6, 7 ] 24² = 576, 76² = 5776, 869924² = 756767765776,
2582184474² = 6667676657766656676

[ 5, 6, 8 ] 816² = 665856

[ 5, 6, 9 ]
8 236² = 55696, 834² = 695556, 83666² = 6999999556,
2440614² = 5956596696996, 978087913² = 956655965556695569,
998298337² = 996599569656965569, 3097740563² = 9595996595655556969,
75203523634² = 5655569966969596565956

[ 5, 8, 9 ] 99927917² = 9985588595958889, 92496431583² = 8555589855588599885889

[ 6, 7, 9 ]
7 313² = 97969, 3114113² = 9697699776769, 278922387² = 77797697969777769,
881361264² = 776797677679677696, 2603208937² = 6776696769676669969,
3125343176² = 9767769967769766976,
312518799063² = 97667999767779769677969

[ 6, 8, 9 ]
12 83² = 6889, 836² = 698896, 8167² = 66699889, 98336² = 9669968896,
818333² = 669668898889, 828667² = 686688996889, 994836² = 989698666896,
9309617² = 86668968686689, 984833336² = 969896699696888896,
82885443167² = 6869996688989986989889,
948097937383² = 898889698869898988888689,
984879122886² = 969986886696696688968996

立方数

[ 1 ] 1³ = 1

[ 8 ] 2³ = 8

[ 1, 3 ] 11³ = 1331

[ 2, 7 ] 3³ = 27

[ 3, 4 ] 7³ = 343

[ 4, 6 ] 4³ = 64

[ 0, 1, 3 ] 101³ = 1030301, 1001³ = 1003003001, 10001³, 100001³, 1000001³, 10000001³

[ 0, 2, 7 ] 888³ = 700227072

[ 0, 4, 7 ] 3543³ = 44474744007

[ 0, 7, 8 ] 192³ = 7077888

[ 1, 2, 5 ] 5³ = 125, 8³ = 512

[ 1, 2, 6 ] 6³ = 216

[ 1, 3, 6 ] 146796³ = 3163316636166336

[ 1, 3, 9 ] 211³ = 9393931, 110011³ = 1331399339931331

[ 1, 5, 7 ] 173³ = 5177717

[ 2, 3, 8 ] 62³ = 238328

[ 2, 4, 7 ] 14³ = 2744

[ 2, 7, 9 ] 9³ = 729

[ 3, 5, 7 ] 15³ = 3375

[ 4, 5, 6 ] 36³ = 46656

[ 6, 7, 8 ] 92³ = 778688

４乗数

[ 1 ] 1⁴ = 1

[ 1, 6 ] 2⁴ = 16

[ 1, 8 ] 3⁴ = 81

[ 1, 3, 6 ] 34⁴ = 1336336

[ 1, 4, 6 ] 11⁴ = 14641

[ 1, 5, 6 ] 9⁴ = 6561

[ 2, 5, 6 ] 4⁴ = 256, 5⁴ = 625

[ 3, 5, 6 ] 16⁴ = 65536

５乗数

[ 1 ] 1⁵ = 1

[ 2, 3 ] 2⁵ = 32

[ 0, 1, 5 ] 101⁵ = 10510100501, 1001⁵ = 1005010010005001, 10001⁵

[ 2, 3, 4 ] 3⁵ = 243

[ 3, 4, 6 ] 23⁵ = 6436343

６乗数

[ 1 ] 1⁶ = 1

[ 4, 6 ] 2⁶ = 64

[ 4, 5, 6 ] 6⁶ = 46656

７乗数またはそれより高い累乗数　なし

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設立：2004年1月20日，最終更新日 : 2004年2月22日

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