{"id":104933,"date":"2023-12-26T16:27:14","date_gmt":"2023-12-26T16:27:14","guid":{"rendered":"https:\/\/science-hub.click\/%E3%82%BF%E3%82%AF%E3%82%B7%E3%83%BC%E7%95%AA%E5%8F%B7%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2023-12-26T16:27:14","modified_gmt":"2023-12-26T16:27:14","slug":"%E3%82%BF%E3%82%AF%E3%82%B7%E3%83%BC%E7%95%AA%E5%8F%B7%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=104933","title":{"rendered":"\u30bf\u30af\u30b7\u30fc\u756a\u53f7\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"

\u5c0e\u5165<\/h2>

\u6570\u5b66\u3067\u306f\u3001Ta( n<\/i> ) \u307e\u305f\u306f Taxicab( n<\/i> ) \u3067\u793a\u3055\u308c\u308bn \u756a\u76ee\u306e<\/i>\u30bf\u30af\u30b7\u30fc\u756a\u53f7<\/b>\u306f\u3001\u30aa\u30da\u30e9\u30f3\u30c9\u306e\u9806\u5e8f\u306b\u8fd1\u3044n<\/i>\u500b\u306e\u7570\u306a\u308b\u65b9\u6cd5\u3067 2 \u3064\u306e\u975e\u30bc\u30ed\u306e\u6b63\u306e\u7acb\u65b9\u4f53\u306e\u5408\u8a08\u3068\u3057\u3066\u8868\u73fe\u3067\u304d\u308b\u6700\u5c0f\u306e\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 \u3002 Hardy \u3068EM Wright \u306f<\/span>1954 \u5e74\u306b\u3001\u305d\u306e\u3088\u3046\u306a\u6570\u304c\u3059\u3079\u3066\u306e\u6574\u6570n<\/i>\u306b\u5bfe\u3057\u3066\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u5b9f\u8a3c\u3057\u307e\u3057\u305f\u3002\u305d\u308c\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u305d\u308c\u3089\u306e\u8a3c\u660e\u306f\u305d\u308c\u3089\u3092\u69cb\u7bc9\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u305b\u3093\u3002<\/p>

\n\"\u30bf\u30af\u30b7\u30fc\u756a\u53f7\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u65e2\u77e5\u306e\u30bf\u30af\u30b7\u30fc\u756a\u53f7<\/h2>
<\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(2)&=&1729&=&1^3 + 12^3 \\\\&&&=&9^3 + 10^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(3)&=&87539319&=&167^3 + 436^3 \\\\&&&=&228^3 + 423^3 \\\\&&&=&255^3 + 414^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(4)&=&6963472309248&=&2421^3 + 19083^3 \\\\&&&=&5436^3 + 18948^3 \\\\&&&=&10200^3 + 18072^3 \\\\&&&=&13322^3 + 16630^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(5)&=&48988659276962496&=&38787^3 + 365757^3 \\\\&&&=&107839^3 + 362753^3 \\\\&&&=&205292^3 + 342952^3 \\\\&&&=&221424^3 + 336588^3 \\\\&&&=&231518^3 + 331954^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(6)&=&24153319581254312065344&=&582162^3 + 28906206^3 \\\\&&&=&3064173^3 + 28894803^3 \\\\&&&=&8519281^3 + 28657487^3 \\\\&&&=&16218068^3 + 27093208^3 \\\\&&&=&17492496^3 + 26590452^3 \\\\&&&=&18289922^3 + 26224366^3\\end{matrix}} $$<\/div><\/dd><\/dl>
\n\"\u30bf\u30af\u30b7\u30fc\u756a\u53f7\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u6b74\u53f2<\/h2>

Ta(2) \u306f 1657 \u5e74\u306b\u30d9\u30eb\u30ca\u30fc\u30eb \u30d5\u30ec\u30cb\u30af\u30eb \u30c9 \u30d9\u30c3\u30b7\u30fc\u306b\u3088\u3063\u3066\u521d\u3081\u3066\u51fa\u7248\u3055\u308c\u3001\u305d\u306e\u5f8c\u3001\u6570\u5b66\u8005\u306e\u30cf\u30fc\u30c7\u30a3\u3068\u30b9\u30ea\u30cb\u30f4\u30a1\u30b5 \u30e9\u30de\u30cc\u30b8\u30e3\u30f3\u306b\u95a2\u3059\u308b\u9038\u8a71\u306b\u3088\u3063\u3066\u4e0d\u6ec5\u306e\u540d\u3092\u6b8b\u3057\u307e\u3057\u305f\u3002<\/p>

\u300c\u79c1\uff08GH \u30cf\u30fc\u30c7\u30a3\uff09\u306f\u3001\u304b\u3064\u3066\u5f7c\uff08\u30e9\u30de\u30cc\u30b8\u30e3\u30f3\uff09\u304c\u75c5\u6c17\u3067\u30d1\u30c8\u30cb\u30fc\u3067\u6a2a\u305f\u308f\u3063\u3066\u3044\u305f\u3068\u304d\u3001\u898b\u821e\u3044\u306b\u884c\u304f\u9014\u4e2d\u30011729 \u3068\u3044\u3046\u756a\u53f7\u306e\u30bf\u30af\u30b7\u30fc\u306b\u4e57\u305b\u3089\u308c\u3001\u305d\u306e\u756a\u53f7\u304c<\/a><\/span>\uff087\u30fb13\u30fb19\uff09\u3067\u3042\u308b\u3053\u3068\u306b\u6c17\u3065\u3044\u305f\u3053\u3068\u3092\u899a\u3048\u3066\u3044\u307e\u3059\u3002 \uff09\u306f\u304b\u306a\u308a\u920d\u304f\u601d\u3048\u305f\u306e\u3067\u3001\u305d\u308c\u304c\u4e0d\u5409\u306a\u524d\u5146\u3067\u306a\u3044\u3053\u3068\u3092\u7948\u308a\u307e\u3057\u305f\u3002 \u300c\u3044\u3044\u3048\u3001\u300d\u3068\u5f7c\u306f\u79c1\u306b\u8a00\u3044\u307e\u3057\u305f\u3002\u300c\u3053\u308c\u306f\u975e\u5e38\u306b\u8208\u5473\u6df1\u3044\u6570\u5b57\u3067\u3059\u3002\u3053\u308c\u306f\u30012 \u3064\u306e\u7570\u306a\u308b\u65b9\u6cd5\u3067 2 \u3064\u306e [\u6b63\u306e] \u7acb\u65b9\u4f53\u306e\u548c\u3068\u3057\u3066\u8868\u73fe\u3067\u304d\u308b\u6700\u5c0f\u306e\u6570\u3067\u3059\u3002 \u00bb<\/div><\/blockquote>

\u305d\u306e\u5f8c\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u30bf\u30af\u30b7\u30fc\u306e\u756a\u53f7\u304c\u5224\u660e\u3057\u307e\u3057\u305f\u3002 John Leech \u306f<\/span>1957 \u5e74\u306b Ta(3) \u3092\u53d6\u5f97\u3057\u3001 E. Rosenstiel<\/span> \u3001 JA Dardis<\/span> \u3001 CR Rosenstiel \u306f<\/span>1991 \u5e74\u306b Ta(4) \u3092\u767a\u898b\u3001 David W. Wilson \u306f<\/span>1997 \u5e74 11 \u6708\u306b Ta(5) \u3092\u767a\u898b\u3057\u307e\u3057\u305f\u3002<\/p>

Ta(6) \u306f\u30012008 \u5e74 3 \u6708 9 \u65e5\u306b NMBRTHRY \u30e1\u30fc\u30ea\u30f3\u30b0 \u30ea\u30b9\u30c8\u3067Uwe Hollerbach<\/span>\u306b\u3088\u3063\u3066\u767a\u8868\u3055\u308c\u307e\u3057\u305f\u3002<\/p>

\n\"\u30bf\u30af\u30b7\u30fc\u756a\u53f7\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u30bf\u30af\u30b7\u30fc\u306e\u53f0\u6570\u306e\u4e0a\u9650<\/h2>

\u3053\u306e\u3088\u3046\u306a\u5927\u304d\u306a\u6570\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u3053\u308c\u3089\u304c\u30bf\u30af\u30b7\u30fc\u306e<\/i>\u8981\u4ef6\u3092\u6e80\u305f\u3059\u6700\u5c0f\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u306f\u307e\u3060\u660e\u3089\u304b\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002 <\/p>

$$ {\\begin{matrix}\\operatorname{Ta}(7)& \\le &24885189317885898975235988544&=&2648660966^3 + 1847282122^3 \\\\&&&=&2685635652^3 + 1766742096^3 \\\\&&&=&2736414008^3 + 1638024868^3 \\\\&&&=&2894406187^3 + 860447381^3 \\\\&&&=&2915734948^3 + 459531128^3 \\\\&&&=&2918375103^3 + 309481473^3\\\\&&&=&2919526806^3 + 58798362^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(8)& \\le &50974398750539071400590819921724352&=&299512063576^3 + 288873662876^3 \\\\&&&=&336379942682^3 + 234604829494^3 \\\\&&&=&341075727804^3 + 224376246192^3 \\\\&&&=&347524579016^3 + 208029158236^3 \\\\&&&=&367589585749^3 + 109276817387^3 \\\\&&&=&370298338396^3 + 58360453256^3\\\\&&&=&370633638081^3 + 39304147071^3\\\\&&&=&370779904362^3 + 7467391974^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(9)& \\le &136897813798023990395783317207361432493888&=&41632176837064^3 + 40153439139764^3 \\\\&&&=&46756812032798^3 + 32610071299666^3 \\\\&&&=&47409526164756^3 + 31188298220688^3 \\\\&&&=&48305916483224^3 + 28916052994804^3 \\\\&&&=&51094952419111^3 + 15189477616793^3 \\\\&&&=&51471469037044^3 + 8112103002584^3\\\\&&&=&51518075693259^3 + 5463276442869^3\\\\&&&=&51530042142656^3 + 4076877805588^3\\\\&&&=&51538406706318^3 + 1037967484386^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(10)& \\le &7335345315241855602572782233444632535674275447104&=&15695330667573128^3 + 15137846555691028^3 \\\\&&&=&17627318136364846^3 + 12293996879974082^3 \\\\&&&=&17873391364113012^3 + 11757988429199376^3 \\\\&&&=&18211330514175448^3 + 10901351979041108^3 \\\\&&&=&19262797062004847^3 + 5726433061530961^3 \\\\&&&=&19404743826965588^3 + 3058262831974168^3\\\\&&&=&19422314536358643^3 + 2059655218961613^3\\\\&&&=&19426825887781312^3 + 1536982932706676^3\\\\&&&=&19429379778270560^3 + 904069333568884^3\\\\&&&=&19429979328281886^3 + 391313741613522^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(11)& \\le &2818537360434849382734382145310807703728251895897826621632&=&11410505395325664056^3 + 11005214445987377356^3 \\\\&&&=&12815060285137243042^3 + 8937735731741157614^3 \\\\&&&=&12993955521710159724^3 + 8548057588027946352^3 \\\\&&&=&13239637283805550696^3 + 7925282888762885516^3 \\\\&&&=&13600192974314732786^3 + 6716379921779399326^3 \\\\&&&=&14004053464077523769^3 + 4163116835733008647^3\\\\&&&=&14107248762203982476^3 + 2223357078845220136^3\\\\&&&=&14120022667932733461^3 + 1497369344185092651^3\\\\&&&=&14123302420417013824^3 + 1117386592077753452^3\\\\&&&=&14125159098802697120^3 + 657258405504578668^3\\\\&&&=&14125594971660931122^3 + 284485090153030494^3\\end{matrix}} $$<\/div><\/dd><\/dl>
$$ {\\begin{matrix}\\operatorname{Ta}(12)& \\le &73914858746493893996583617733225161086864012865017882136931801625152&=&33900611529512547910376^3 + 32696492119028498124676^3 \\\\&&&=&38073544107142749077782^3 + 26554012859002979271194^3\\\\&&&=&38605041855000884540004^3 + 25396279094031028611792^3 \\\\&&&=&39334962370186291117816^3 + 23546015462514532868036^3 \\\\&&&=&40406173326689071107206^3 + 19954364747606595397546^3 \\\\&&&=&41606042841774323117699^3 + 12368620118962768690237^3 \\\\&&&=&41912636072508031936196^3 + 6605593881249149024056^3 \\\\&&&=&41950587346428151112631^3 + 4448684321573910266121^3 \\\\&&&=&41960331491058948071104^3 + 3319755565063005505892^3 \\\\&&&=&41965847682542813143520^3 + 1952714722754103222628^3 \\\\&&&=&41965889731136229476526^3 + 1933097542618122241026^3 \\\\&&&=&41967142660804626363462^3 + 845205202844653597674^3\\end{matrix}} $$<\/div><\/dd><\/dl><\/div>
\n\"\u30bf\u30af\u30b7\u30fc\u756a\u53f7\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. \u0639\u062f\u062f \u062a\u0627\u0643\u0633\u064a\u0643\u0627\u0628 \u2013 arabe<\/a><\/li>
  2. N\u00famero taxicab \u2013 catalan<\/a><\/li>
  3. Taxital \u2013 danois<\/a><\/li>
  4. Taxicab-Zahl \u2013 allemand<\/a><\/li>
  5. \u0391\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c4\u03c9\u03bd \u03a4\u03b1\u03be\u03af \u2013 grec<\/a><\/li>
  6. Taxicab number \u2013 anglais<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u30bf\u30af\u30b7\u30fc\u756a\u53f7\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n