{"id":35822,"date":"2024-01-31T20:21:52","date_gmt":"2024-01-31T20:21:52","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%95%E3%82%A7%E3%83%AB%E3%83%9E%E3%83%BC%E3%81%AE2%E5%B9%B3%E6%96%B9%E5%AE%9A%E7%90%86%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":"2024-01-31T20:21:52","modified_gmt":"2024-01-31T20:21:52","slug":"%E3%83%95%E3%82%A7%E3%83%AB%E3%83%9E%E3%83%BC%E3%81%AE2%E5%B9%B3%E6%96%B9%E5%AE%9A%E7%90%86%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=35822","title":{"rendered":"\u30d5\u30a7\u30eb\u30de\u30fc\u306e 2 \u5e73\u65b9\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"

\u5c0e\u5165<\/h2>

\u6570\u5b66\u3067\u306f\u3001\u30d5\u30a7\u30eb\u30de\u30fc\u306e 2 \u5e73\u65b9\u5b9a\u7406\u306f<\/b>\u3001\u6574\u6570\u304c 2 \u3064\u306e\u5b8c\u5168\u306a\u5e73\u65b9 (\u3064\u307e\u308a\u30012 \u3064\u306e\u6574\u6570\u306e\u5e73\u65b9) \u306e\u548c\u3067\u3042\u308b\u305f\u3081\u306e\u6761\u4ef6\u3092\u793a\u3057\u3001\u6574\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u3055\u307e\u3056\u307e\u306a\u65b9\u6cd5\u3067\u5b58\u5728\u3067\u304d\u308b\u304b\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u3053\u306e\u5b9a\u7406<\/span>\u306b\u3088\u308c\u3070\u3001\u5947\u6570\u306e\u7d20\u6570\u306f\u3001<\/a><\/span>\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u3092 4 \u3067\u5272\u3063\u305f<\/a><\/span>\u4f59\u308a\u304c 1 \u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u30012 \u3064\u306e\u5b8c\u5168\u5e73\u65b9\u306e\u548c\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u6b63\u65b9\u5f62\u306f\u4e00\u610f\u306b\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u300117 (= 4×4 + 1) \u307e\u305f\u306f 97 (= 24×4 + 1) \u3067\u691c\u8a3c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u3069\u3061\u3089\u3082\u3001\u3042\u308b\u610f\u5473\u3067\u306f 2 \u3064\u306e\u5e73\u65b9\u548c (17 = 1\u00b2+4\u00b2 \u304a\u3088\u3073 97 = 9\u00b2+4\u00b2) \u3067\u3059\u304c\u3001\u6b21\u306e\u3088\u3046\u306a\u7d20\u6570\u3067\u306f\u3001 7 (=4×1+3) \u307e\u305f\u306f 31 (4×7+3) \u306f 2 \u3064\u306e\u5e73\u65b9\u306e\u548c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u7d50\u679c\u306f\u3001\u5358\u306b 2 \u5e73\u65b9\u5b9a\u7406\u3001\u307e\u305f\u306f\u30d5\u30a7\u30eb\u30de\u30fc \u30c9 \u30ce\u30a8\u30eb\u306e\u5b9a\u7406\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>

\u3053\u308c\u306f\u3001\u53e4\u4ee3\u306b\u9061\u308b\u3001\u6570\u5024\u3092\u5e73\u65b9\u548c\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u9577\u3044\u6b74\u53f2\u306e\u4e00\u90e8\u3067\u3059\u3002\u305d\u308c\u306f17<\/span>\u4e16\u7d00<\/sup>\u306b\u30d4\u30a8\u30fc\u30eb\u30fb\u30c9\u30fb\u30d5\u30a7\u30eb\u30de\u30fc<\/a><\/span>\u306b\u3088\u3063\u3066\u8aac\u660e\u3055\u308c\u307e\u3057\u305f\u304c\u3001\u6700\u521d\u306b\u77e5\u3089\u308c\u305f\u51fa\u7248\u3055\u308c\u305f\u8a3c\u660e\u306f 1\u4e16\u7d00<\/span>\u5f8c\u306e\u30ec\u30aa\u30f3\u30cf\u30eb\u30c8\u30fb\u30aa\u30a4\u30e9\u30fc<\/a><\/span>\u306e\u7814\u7a76\u3067\u3057\u305f\u3002\u5f7c\u306e\u30c7\u30e2\u306f<\/a><\/span>\u7591\u554f\u3092\u89e3\u6c7a\u3059\u308b\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u5f8c\u4f55\u4e16\u7d00\u306b\u3082\u308f\u305f\u3063\u3066\u3001\u65b0\u3057\u3044\u8a3c\u62e0\u3068\u3055\u307e\u3056\u307e\u306a\u4e00\u822c\u5316\u304c\u63d0\u6848\u3055\u308c\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u306f\u3001 \u4ee3\u6570\u7684\u6574\u6570\u8ad6<\/a><\/span>\u3068\u547c\u3070\u308c\u308b\u6570\u5b66<\/a><\/span>\u306e\u4e00\u5206\u91ce\u306e\u767a\u5c55\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3057\u305f\u3002<\/p>

\u591a\u304f\u306e\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f\u3001\u3064\u307e\u308a\u6c42\u3081\u3089\u308c\u308b\u4fc2\u6570\u3068\u89e3\u304c\u6574\u6570\u307e\u305f\u306f\u5206\u6570\u3067\u3042\u308b\u65b9\u7a0b\u5f0f\u3068\u540c\u69d8\u3001\u3053\u306e\u8a18\u8ff0\u306e\u5358\u7d14\u3055\u306f\u5b9f\u8a3c\u306e\u672c\u5f53\u306e\u96e3\u3057\u3055\u3092\u96a0\u3057\u3066\u3044\u307e\u3059\u3002\u63d0\u6848\u3055\u308c\u305f\u8a3c\u660e\u306e\u4e00\u90e8\u306f\u3001\u6955\u5186\u66f2\u7dda\u3084\u6570\u5e7e\u4f55\u5b66<\/a><\/span><\/span>\u306a\u3069\u3001\u6642\u306b\u306f\u9ad8\u5ea6\u306a\u30c4\u30fc\u30eb\u306e\u958b\u767a<\/a><\/span>\u306b\u5f79\u7acb\u3061\u3001\u521d\u6b69\u7684\u306a\u6570\u8ad6\u3092<\/a><\/span>\u6570\u5b66\u306e\u4ed6\u306e\u5206\u91ce\u306b\u7d50\u3073\u4ed8\u3051\u307e\u3057\u305f<\/a><\/span>\u3002<\/p>

\n\"\u30d5\u30a7\u30eb\u30de\u30fc\u306e<\/figure>

\u5b9a\u7406\u306e\u63d0\u793a<\/h2>

\u7d20\u6570\u306e\u5834\u5408<\/span><\/h3>

\u4e00\u90e8\u306e\u7d20\u6570\u306f 2 \u3064\u306e\u5b8c\u5168\u5e73\u65b9\u306e\u548c\u3067\u3059\u3002\u3082\u3061\u308d\u3093\u3001\u3053\u308c\u306f 2 (= 1 2<\/sup> + 1 2<\/sup><\/span> ) \u306e\u5834\u5408\u3067\u3042\u308a\u3001\u540c\u69d8\u306b\u30015 \u306f 1 \u3068 4 \u306e\u5408\u8a08\u3067\u3059\u30023 \u3084 7 \u306a\u3069\u306e\u4ed6\u306e\u5024\u306f\u3001\u3053\u306e\u7279\u6027\u3092\u691c\u8a3c\u3057\u307e\u305b\u3093\u3002 40 \u307e\u3067\u306e\u7cfb\u7d71\u7684\u306a<\/a><\/span>\u30c6\u30b9\u30c8\u3067\u306f\u6b21\u306e\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 <\/p>

$$ {5 = 1^2 + 2^2, \\quad 13 = 2^2 + 3^2, \\quad 17 = 1^2 + 4^2, \\quad 29 = 2^2 + 5^2, \\quad 37 = 1^2 + 6^2.} $$<\/div><\/center>

\u4e00\u65b9\u30013\u30017\u300111\u300119\u300123\u300131 \u306f\u3053\u306e\u3088\u3046\u306b\u5d29\u308c\u307e\u305b\u3093\u3002\u5b9a\u7406\u306f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u72b6\u6cc1\u3092\u533a\u5225\u3067\u304d\u308b\u4e00\u822c\u7684\u306a\u57fa\u6e96\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>

\u30d5\u30a7\u30eb\u30de\u30fc\u306e 2 \u5e73\u65b9\u5b9a\u7406 (\u7d20\u6570\u306e\u5834\u5408)<\/strong> \u2014<\/span> p \u3092<\/i>\u5947\u6570\u306e\u7d20\u6570<\/a><\/span>\u3068\u3057\u307e\u3059\u3002p\u304c 1 \u3092<\/i>\u6cd5\u3068\u3059\u308b<\/a><\/span>4 \u306b\u5408\u540c\u3067\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u3001 p \u306f<\/i>\u81ea\u7136\u6570\u306e 2 \u4e57\u306e\u548c\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ {\\exists x,y\\in \\N \\quad \/\\quad p = x^2 + y^2\\quad \\Leftrightarrow \\quad p\\equiv 1 \\pmod{4}.} $$<\/div><\/center>

\u3055\u3089\u306b\u3001\u3053\u306e\u5206\u89e3\u306f<\/a><\/span>\u3001\u5b58\u5728\u3059\u308b\u5834\u5408\u3001 x<\/i> 2<\/sup><\/span>\u3068y<\/i> 2 \u306e<\/sup><\/span>\u8fd1\u304f\u306e\u4ea4\u63db\u3067\u4e00\u610f\u3067\u3059\u3002<\/p><\/div>

\u300c p \u306f<\/i>4 \u3092\u6cd5\u3068\u3059\u308b 1 \u306b\u5408\u540c\u3067\u3042\u308b\u300d\u3068\u3044\u3046\u3053\u3068\u306f\u3001\u5358\u306bp<\/i>\u3092 4 \u3067\u5272\u3063\u305f\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u9664\u7b97<\/a><\/span>\u306e\u4f59\u308a\u304c 1 \u3067\u3042\u308b\u3053\u3068\u3001\u307e\u305f\u306f\u6570\u5024p<\/i>\u304c 4 k<\/i> +1 \u306e\u5f62\u5f0f\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3053\u306e\u8a9e\u5f59\u306b\u3064\u3044\u3066\u306f\u3001\u300c\u6574\u6570\u306e\u5408\u540c\u300d\u306e\u8a18\u4e8b\u3067\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>

\n\"\u30d5\u30a7\u30eb\u30de\u30fc\u306e<\/figure>

\u4e00\u822c\u7684\u306a\u30b1\u30fc\u30b9<\/span><\/h3>

\u6700\u521d\u306b<\/a><\/span>\u300150 \u672a\u6e80\u306e\u6574\u6570\u304c 4 \u884c\u306b\u66f8\u304b\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u30924<\/i>\u3067\u5272\u3063\u305f\u4f59\u308a\u306b\u5f93\u3063\u3066\u3001\u6b21\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 <\/p>

$$ {{\\color{OliveGreen}4},{\\color{OliveGreen}8},{\\color{red}12},{\\color{OliveGreen}16}, {\\color{OliveGreen}20},{\\color{red}24},{\\color{red}28},{\\color{OliveGreen}32},{\\color{OliveGreen}36}, {\\color{OliveGreen}40},{\\color{red}44},{\\color{red}48}} $$<\/div><\/center>
$$ {{\\color{OliveGreen}1},{\\color{OliveGreen}5},{\\color{OliveGreen}9},{\\color{OliveGreen}13}, {\\color{OliveGreen}17},{\\color{red}21},{\\color{OliveGreen}25},{\\color{OliveGreen}29},{\\color{Red}33}, {\\color{OliveGreen}37},{\\color{OliveGreen}41},{\\color{OliveGreen}45},{\\color{OliveGreen}49}} $$<\/div><\/center>
$$ {{\\color{OliveGreen}2},{\\color{Red}6},{\\color{OliveGreen}10},{\\color{Red}14}, {\\color{OliveGreen}18},{\\color{Red}22},{\\color{OliveGreen}26},{\\color{Red}30},{\\color{OliveGreen}34}, {\\color{Red}38},{\\color{Red}42},{\\color{red}46},{\\color{OliveGreen}50}} $$<\/div><\/center>
$$ {{\\color{Red}3},{\\color{Red}7},{\\color{Red}11},{\\color{Red}15}, {\\color{Red}19},{\\color{Red}23},{\\color{Red}27},{\\color{Red}31},{\\color{Red}35}, {\\color{Red}39},{\\color{Red}43},{\\color{red}47}} $$<\/div><\/center>

\u7dd1\u8272<\/a><\/span>\u3067\u793a\u3055\u308c\u305f\u6574\u6570\u306f 2 \u3064\u306e\u5b8c\u5168\u5e73\u65b9\u306e\u548c\u3068\u3057\u3066\u8a18\u8ff0\u3067\u304d\u308b\u6574\u6570\u3067\u3042\u308a\u3001\u305d\u306e\u3088\u3046\u306a\u8a18\u8ff0\u304c\u4e0d\u53ef\u80fd\u306a\u6574\u6570\u306f\u8d64\u8272<\/a><\/span>\u3067\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 4 \u884c\u76ee\u306b\u306f\u89e3\u6c7a\u7b56\u304c\u542b\u307e\u308c\u3066\u3044\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u3001 4 k<\/i> +3 \u306e\u5f62\u5f0f\u306e\u5076\u6570\u306e\u56e0\u6570\u306e\u7a4d\u306f 4 k<\/i> +1 \u306e\u5f62\u5f0f\u306b\u306a\u308b\u305f\u3081\u3001\u3053\u306e\u6700\u5f8c\u306e\u884c\u306b\u306f 4 k<\/i> +3 \u306e\u5f62\u5f0f\u306e\u5947\u6570\u306e\u7d20\u56e0\u6570\u3092\u6301\u3064\u6570\u5024\u306e\u307f\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u5168\u4f53\u7684\u306a\u72b6\u6cc1<\/a><\/span>\u3092\u7406\u89e3\u3059\u308b\u624b\u304c\u304b\u308a\u3068\u306a\u308a\u307e\u3059\u3002<\/p>

\u4efb\u610f\u306e\u6570n<\/i>\u306e\u5834\u5408\u306f\u3001\u305d\u306e\u7d20\u56e0\u6570\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059\uff1a<\/p>

2 \u5e73\u65b9\u5b9a\u7406 (\u4e00\u822c\u7684\u306a\u5834\u5408)<\/strong> \u2014<\/span>\u6574\u6570\u306f\u30014 k<\/i> + 3 \u306e\u5f62\u5f0f\u306e\u7d20\u56e0\u6570\u304c\u305d\u308c\u305e\u308c\u5076\u6570<\/a><\/span>\u4e57<\/a><\/span>\u3067\u51fa\u73fe\u3059\u308b\u5834\u5408\u306b\u9650\u308a\u30012 \u3064\u306e\u5e73\u65b9\u306e\u548c\u306b\u306a\u308a\u307e\u3059\u3002<\/p><\/div>

\u3057\u305f\u304c\u3063\u3066\u3001 30 = 2.3.5<\/span> , 3 \u306f\u7d20\u56e0\u6570\u3078\u306e\u56e0\u6570\u5206\u89e3\u3067\u6307\u6570<\/a><\/span>1 \u3068\u3068\u3082\u306b\u767a\u751f\u3059\u308b\u305f\u3081\u3001 30 \u306f\u4e8c\u4e57\u548c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4e00\u65b9\u3001 45 = 3 2<\/sup> .5<\/span>\u306f\u30013 \u306e 2 \u4e57\u3067\u3042\u308b\u305f\u3081\u3001\u4e8c\u4e57\u548c\u306b\u306a\u308a\u307e\u3059 ( 45 = 6 2<\/sup> + 3 2<\/sup><\/span>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059)\u3002<\/p>

\u548c\u304c\u4e0e\u3048\u3089\u308c\u305f\u6574\u6570n<\/i>\u306b\u7b49\u3057\u3044\u6b63\u65b9\u5f62\u306e\u30da\u30a2\u306e\u6570\u306e\u554f\u984c\u3082\u3055\u3089\u306b\u96e3\u3057\u304f\u3001\u3053\u306e\u6570\u306f 4 k<\/i> +1 \u306e\u5f62\u5f0f\u306en<\/i>\u306e\u56e0\u6570\u306e\u6307\u6570\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u66f8\u304f\u3053\u3068\u3067

$$ {n=n’p_1^ap_2^bp_3^c…} $$<\/div>\u3053\u3053\u3067\u3001n’ \u306f 2 \u3068 4 k<\/i> +3 \u306e\u5f62\u5f0f\u306e\u7d20\u56e0\u6570\u3067\u306e\u307f\u5272\u308a\u5207\u308c\u307e\u3059\u3002\u307e\u305f\u3001\u7570\u306a\u308bp<\/i> i \u304c<\/i><\/sub><\/span>4 k<\/i> +1 \u306e\u5f62\u5f0f\u306e\u7d20\u56e0\u6570\u3067\u3042\u308b\u5834\u5408\u3001 n<\/i>\u306f 1\/2(a+1) ( b+1)(c+1)…\u6307\u6570 a\u3001b\u3001c\u3001… \u306e\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u304c\u5947\u6570\u3067\u30011\/2(a+1)(b+1) \u306e\u5834\u5408\u30012 \u3064\u306e\u5e73\u65b9\u548c\u306e\u7570\u306a\u308b\u5206\u89e3) )(c+1)…\u3059\u3079\u3066\u306e\u6307\u6570\u304c\u5076\u6570\u306e\u5834\u5408\u306f +1\/2 \u5206\u89e3\u3002<\/p>

\u3053\u306e\u5206\u89e3\u6570\u306e\u5225\u306e\u540c\u7b49\u306e\u8868\u73fe\u306f\u3001 Charles Gustave Jacob Jacobi<\/a><\/span>\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c<\/span>\u307e\u3057\u305f\u3002<\/p>

2 \u5e73\u65b9\u5b9a\u7406 (\u88dc\u6570)<\/strong> \u2014<\/span> n \u3092<\/i>\u6574\u6570\u3068\u3059\u308b

$$ {\\geq 1} $$<\/div> r<\/i> 2<\/sub> ( n<\/i> ) \u306f\u30012 \u3064\u306e\u5e73\u65b9\u548c\u3068\u3057\u3066n<\/i>\u3092\u8868\u73fe\u3059\u308b\u6570\u3067\u3059\u3002 d<\/i> 1<\/sub> (\u307e\u305f\u306fd<\/i> 3<\/sub> ) \u3092\u30011 (\u307e\u305f\u306f 3) \u3092\u6cd5\u3068\u3059\u308bn<\/i>\u306b\u5408\u540c\u306a n \u306e\u7d04\u6570 (\u5fc5\u305a\u3057\u3082\u7d20\u6570\u3067\u306f\u306a\u3044) \u3068\u3059\u308b\u3068\u3001\u6b21\u306e\u5f0f\u304c\u691c\u8a3c\u3055\u308c\u307e\u3059\u3002<\/p>
r2<\/i> (<\/i> n<\/i> ) = 4(d1(n)\u2212d3<\/sub> (<\/i> n<\/i> )<\/i> )<\/sub> \u3002<\/sub><\/span><\/center><\/div>

\u7b26\u53f7\u3084\u9806\u5e8f\u3060\u3051\u304c\u7570\u306a\u308b\u3082\u306e\u3082\u542b\u3081\u3001\u3059\u3079\u3066\u306e\u8868\u73fe\u3092\u6570\u3048\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001

$$ {5 = (\\pm 2)^2 + (\\pm 1)^2 = (\\pm 1)^2 + (\\pm 2)^2} $$<\/div>\u306f 2 \u3064\u306e\u5e73\u65b9\u306e\u548c\u3068\u3057\u3066 8 \u3064\u306e\u8868\u73fe\u3092\u8a8d\u3081\u307e\u3059\u3002\u3053\u306e\u8a18\u8ff0\u3068\u8a3c\u660e\u306f\u3001Hardy & Wright \u306e\u300c\u6570\u8ad6\u5165\u9580\u300d<\/i> \u3001\u5b9a\u7406 278 \u306b\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>

\u6700\u5f8c\u306e\u91cd\u8981\u306a\u5074\u9762\u306f\u3001\u5408\u8a08\u304c\u6307\u5b9a\u3055\u308c\u305f\u6574\u6570n<\/i>\u306b\u7b49\u3057\u3044\u6b63\u65b9\u5f62\u3092\u660e\u793a\u7684\u306b\u69cb\u7bc9\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/p><\/div>

\n\"\u30d5\u30a7\u30eb\u30de\u30fc\u306e<\/figure>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. \u0645\u0628\u0631\u0647\u0646\u0629 \u0641\u064a\u0631\u0645\u0627 \u062d\u0648\u0644 \u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u064a\u0646 \u2013 arabe<\/a><\/li>
  2. \u0422\u044d\u0430\u0440\u044d\u043c\u0430 \u0424\u0435\u0440\u043c\u0430 \u2014 \u042d\u0439\u043b\u0435\u0440\u0430 \u2013 bi\u00e9lorusse<\/a><\/li>
  3. Teorema de la suma de dos quadrats \u2013 catalan<\/a><\/li>
  4. Zwei-Quadrate-Satz \u2013 allemand<\/a><\/li>
  5. Fermat’s theorem on sums of two squares \u2013 anglais<\/a><\/li>
  6. Teorema de Fermat sobre la suma de dos cuadrados \u2013 espagnol<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u30d5\u30a7\u30eb\u30de\u30fc\u306e 2 \u5e73\u65b9\u5b9a\u7406\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n