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历届IMO（国际数学奥林匹克）试题提供国 2023/1 proposed by Poland 波兰 2023/2 proposed by Romania 罗马尼亚 2023/3 proposed by Hungary 匈牙利 2023/4 proposed by Hungary 匈牙利 2023/5 proposed by Romania 罗马尼亚 2023/6 proposed by Czechoslovakia 捷克斯洛伐克 2023/1 proposed by Bulgaria 保加利亚 2023/2 proposed by Hungary 匈牙利 2023/3 proposed by Romania 罗马尼亚 2023/4 proposed by Hungary 匈牙利 2023/5 proposed by Czechoslovakia 捷克斯洛伐克 2023/6 proposed by Bulgaria 保加利亚 2023/7 proposed by Eastern Germany 民主德国 2023/1 proposed by Hungary 匈牙利 2023/2 proposed by Poland 波兰 2023/3 proposed by Bulgaria 保加利亚 2023/4 proposed by Eastern Germany 民主德国 2023/5 proposed by Czechoslovakia 捷克斯洛伐克 2023/6 proposed by Romania 罗马尼亚 2023/1 proposed by Poland 波兰 2023/2 proposed by Hungary 匈牙利 2023/3 proposed by Czechoslovakia 捷克斯洛伐克 2023/4 proposed by Romania 罗马尼亚 2023/5 proposed by Bulgaria 保加利亚 2023/6 proposed by Eastern Germany 民主德国 2023/7 proposed by USSR 苏联 2023/1 proposed by Czechoslovakia 捷克斯洛伐克 2023/2 proposed by USSR 苏联 2023/3 proposed by Hungary 匈牙利 2023/4 proposed by USSR 苏联 2023/5 proposed by Eastern Germany 民主德国 2023/6 proposed by Hungary 匈牙利 2023/1 proposed by Czechoslovakia 捷克斯洛伐克 2023/2 proposed by Hungary 匈牙利 2023/3 proposed by Yugoslavia 南斯拉夫 2023/4 proposed by Hungary 匈牙利 2023/5 proposed by Romania 罗马尼亚 2023/6 proposed by Poland 波兰 2023/1 proposed by Yugoslavia 南斯拉夫 2023/2 proposed by Poland 波兰 2023/3 proposed by Czechoslovakia 捷克斯洛伐克 2023/4 proposed by USSR 苏联 2023/5 proposed by Romania 罗马尼亚 2023/6 proposed by Poland 波兰 2023/1 proposed by USSR 苏联 2023/2 proposed by Hungary 匈牙利 2023/3 proposed by Bulgaria 保加利亚 2023/4 proposed by Yugoslavia 南斯拉夫 2023/5 proposed by Czechoslovakia 捷克斯洛伐克 2023/6 proposed by Poland 波兰 2023/1 proposed by Poland 波兰 2023/2 proposed by Czechoslovakia 捷克斯洛伐克 2023/3 proposed by United Kingdom 英国 2023/4 proposed by Italy 意大利 2023/5 proposed by USSR 苏联 2023/6 proposed by Hungary 匈牙利 2023/1 proposed by Romania 罗马尼亚 2023/2 proposed by Czechoslovakia 捷克斯洛伐克 2023/3 proposed by Bulgaria 保加利亚 2023/4 proposed by Poland 波兰 2023/5 proposed by Eastern Germany 民主德国 2023/6 proposed by United Kingdom 英国 2023/1 proposed by Eastern Germany 民主德国 2023/2 proposed by Hungary 匈牙利 2023/3 proposed by Poland 波兰 2023/4 proposed by Netherlands 荷兰 2023/5 proposed by Mongolia 蒙古 2023/6 proposed by USSR 苏联 2023/1 proposed by Poland 波兰 2023/2 proposed by Romania 罗马尼亚 2023/3 proposed by Sweden 瑞典 2023/4 proposed by Czechoslovakia 捷克斯洛伐克 2023/5 proposed by Bulgaria 保加利亚 2023/6 proposed by USSR 苏联 2023/1 proposed by Hungary 匈牙利 2023/2 proposed by USSR 苏联 2023/3 proposed by Poland 波兰 2023/4 proposed by Netherlands荷兰 2023/5 proposed by Bulgaria 保加利亚 2023/6 proposed by Sweden 瑞典 2023/1 proposed by USSR 苏联 2023/2 proposed by Netherlands 荷兰 2023/3 proposed by United Kingdom 英国 2023/4 proposed by Netherlands 荷兰 2023/5 proposed by Bulgaria 保加利亚 2023/6 proposed by United Kingdom 英国 2023/1 proposed by Czechoslovakia 捷克斯洛伐克 2023/2 proposed by Poland 波兰 2023/3 proposed by Sweden 瑞典 2023/4 proposed by Yugoslavia 南斯拉夫 2023/5 proposed by Poland 波兰 2023/6 proposed by Sweden 瑞典 2023/1 proposed by USA 美国 2023/2 proposed by Finland 芬兰 2023/3 proposed by Romania 罗马尼亚 2023/4 proposed by Bulgaria 保加利亚 2023/5 proposed by Netherlands 荷兰 2023/6 proposed by Sweden 瑞典 2023/1 proposed by Czechoslovakia 捷克斯洛伐克 2023/2 proposed by United Kingdom 英国 2023/3 proposed by Netherlands 荷兰 2023/4 proposed by USSR 苏联 2023/5 proposed by USSR 苏联 2023/6 proposed by United Kingdom 英国 2023/1 proposed by Czechoslovakia 捷克斯洛伐克 2023/2 proposed by Finland 芬兰 2023/3 proposed by Netherlands 荷兰 2023/4 proposed by USA 美国 2023/5 proposed by Netherlands 荷兰 2023/6 proposed by United Kingdom 英国 2023/1 proposed by Netherlands 荷兰 2023/2 proposed by Phan ??c Chính, Vietnam 越南 2023/3 proposed by Netherlands 荷兰 2023/4 proposed by United Kingdom 英国 2023/5 proposed by Eastern Germany 民主德国 2023/6 proposed by Bulgaria 保加利亚 2023/1 proposed by Cuba 古巴 2023/2 proposed by USA 美国 2023/3 proposed by United Kingdom 英国 2023/4 proposed by USA 美国 2023/5 proposed by France 芬兰 2023/6 proposed by Netherlands 荷兰 2023/1 proposed by Western Germany 民主德国 2023/2 proposed by Bulgaria 保加利亚 2023/3 proposed by USSR 苏联 2023/4 proposed by USA 美国 2023/5 proposed by Israel 以色列 2023/6 proposed by Eastern Germany 民主德国 2023/1 proposed by United Kingdom 英国 2023/2 proposed by Western Germany 民主德国 2023/3 proposed by Netherlands 荷兰 2023/4 proposed by Belgium 比利时 2023/5 proposed by USSR 苏联 2023/6 proposed by Finland 芬兰 2023/1 proposed by United Kingdom 英国 2023/2 proposed by Netherlands 荷兰 2023/3 proposed by A.Grishkov, USSR 苏联 2023/4 proposed by United Kingdom 英国 2023/5 proposed by Netherlands 荷兰 2023/6 proposed by V?n Nh? C??ng, Vietnam 越南 2023/1 proposed by United Kingdom 英国 2023/2 proposed by I.F.Sharygin, USSR 苏联 2023/3 proposed by Western Germany 民主德国 2023/4 proposed by Belgium 比利时 2023/5 proposed by Poland 波兰 2023/6 proposed by USA 美国 2023/1 proposed by Western Germany 民主德国 2023/2 proposed by Netherlands 荷兰 2023/3 proposed by Romania 罗马尼亚 2023/4 proposed by Romania 罗马尼亚 2023/5 proposed by Mongolia 蒙古 2023/6 proposed by Poland 波兰 2023/1 proposed by United Kingdom 英国 2023/2 proposed by Australia 澳大利亚 2023/3 proposed by Netherlands 荷兰 2023/4 proposed by Mongolia 蒙古 2023/5 proposed by USSR 苏联 2023/6 proposed by Sweden 瑞典 2023/1 proposed by Western Germany 联邦德国 2023/2 proposed by Gengzhe Chang and Dongxu Qi, China 中国常庚哲齐东旭 2023/3 proposed by Elias Wegert, Eastern Germany 民主德国 2023/4 proposed by Iceland 冰岛 2023/5 proposed by United Kingdom 英国 2023/6 proposed by Konrad Engel, Eastern Germany 民主德国 恩格尔 2023/1 proposed by Western Germany 民主德国 2023/2 proposed by I.A.Kushnir, USSR 苏联 2023/3 proposed by Western Germany 联邦德国 2023/4 proposed by Nguy?n Minh ??c, Vietnam 越南 2023/5 proposed by Eastern Germany 民主德国 2023/6 proposed by V.F.Lev, USSR 苏联 2023/1 proposed by Lucien Kieffer, Luxembourg 卢森堡 2023/2 proposed by Czechoslovakia 捷克斯洛伐克 2023/3 proposed by United Kingdom 英国 2023/4 proposed by Ireland 爱尔兰 2023/5 proposed by Dimitris Kontogiannis, Greece 希腊 2023/6 proposed by Western Germany 联邦德国 2023/1 proposed by Philippines 菲律宾 2023/2 proposed by Australia 澳大利亚 2023/3 proposed by Hendrikus Gerardus Derksen, Netherlands 荷兰 2023/4 proposed by Iceland 2023/5 proposed by Sweden 2023/6 proposed by Professor Marcin Kuczma, university of Warsaw, Poland 波兰 2023/1 proposed by India 印度 2023/2 proposed by Czechoslovakia 捷克斯洛伐克 2023/3 proposed by Laurentin Panaitopol, university of Bucharest Romania 罗马尼亚 2023/4 proposed by Turkey 土耳其 2023/5 proposed by Germany 德国 2023/6 proposed by Hendrikus Gerardus Derksen, Netherlands 荷兰 2023/1 proposed by USSR 苏联 2023/2 proposed by Romania 罗马尼亚 2023/3 proposed by Chengzhang Li, China 中国 李成章 2023/4 proposed by USA 2023/5 proposed by Johan Yebbou, France 2023/6 proposed by Hendrikus Gerardus Derksen, Netherlands 2023/1 proposed by New Zealand 新西兰 2023/2 proposed by India 印度 2023/3 proposed by Chengzhang Li, China 中国 李成章 2023/4 proposed by Johan Yebbou, France 法国 2023/5 proposed by Italy 意大利 2023/6 proposed by Tony Gardiner, United Kingdom 英国 2023/1 proposed by Ireland 爱尔兰 2023/2 proposed by David Monk, formerly University of Edinburgh, United Kingdom 英国 2023/3 proposed by Finland 芬兰 2023/4 proposed by F.Y.R. Macedonia 马萨多尼亚 2023/5 proposed by Elias Wegert, Germany 德国 2023/6 proposed by N.G. de Bruijn, Netherlands 荷兰 2023/1 proposed by Vincent Lafforgue, France 法国 2023/2 proposed by Hans Lausch, Monash University, Australia and Armenia independently 亚美尼亚－澳大利亚 2023/3 proposed by Romania 罗马尼亚 2023/4 proposed by Australia 澳大利亚 2023/5 proposed by United Kingdom 英国 2023/6 proposed by Finland 芬兰 2023/1 proposed by Bulgaria 保加利亚 2023/2 proposed by Nazar Agakhanov, Russia 俄罗斯 2023/3 proposed by Jaromir Simsa, Czech Republic（我在其他地方得到的信息是这题为日本提供） 2023/4 proposed by Professor Marcin Kuczma, university of Warsaw, Poland 波兰 2023/5 proposed by New Zealand 新西兰 2023/6 proposed by Professor Marcin Kuczma, university of Warsaw, Poland 波兰 2023/1 proposed by Finland 芬兰 2023/2 proposed by Canada 加拿大 2023/3 proposed by Romania 罗马尼亚 2023/4 proposed by Alexander S. Golovanov, Russia 俄罗斯 2023/5 proposed by Nairi M. Sedrakyan, Armenia 亚美尼亚 2023/6 proposed by Laurent Rosaz, France 法国 2023/1 proposed by Belarus 白俄罗斯 2023/2 proposed by David Monk, formerly University of Edinburgh, United Kingdom 英国 2023/3 proposed by Russia 俄罗斯 2023/4 proposed by Iran 伊朗 2023/5 proposed by Petr Kanovsky, Czech Republic 捷克斯洛伐克 2023/6 proposed by Giedrius Alkauskas, Lithuania 立陶宛 2023/1 proposed by Charles Leytem, high school Dierkirch, Luxembourg 卢森堡 2023/2 proposed by India 印度 2023/3 proposed by Belarus 白俄罗斯 2023/4 proposed by David Monk university Edinbourg 英国 2023/5 proposed by Ukraine 乌克兰 2023/6 proposed by Nikolai Nikolov and Oleg Mushkarov Institut Mathematiques Informatiques Academie des Sciences Sofia Bulgarie 保加利亚 2023/1 proposed by Jan Willemson university of Tartu, Estonia 爱沙尼亚 2023/2 proposed by Professor Marcin Kuczma, university of Warsaw, Poland 波兰 2023/3 proposed by E.Barabanov and I.Voronovich, Belarus 白俄罗斯 2023/4 proposed by Taiwan 中国台湾 2023/5 proposed by P.Kozhevnikov, Russia 俄罗斯 2023/6 proposed by Japan 日本 2023/1 proposed by Serge Berlov, Saint-Petersbourg Russia 俄罗斯 2023/2 proposed by Titu Andreescu, USA 美国 2023/3 proposed by Belarus 白俄罗斯 2023/4 proposed by Sandor Dobos professor lyc Fazekas Mihaly, Budapest, Hungary 匈牙利 2023/5 proposed by Valerii Senderov, Moscou Russia 俄罗斯 2023/6 proposed by Lev and Tatiana Emelianovii, Kaluga Russia 俄罗斯 2023/1 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国 2023/2 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国 2023/3 proposed by Dr.Christian Bey university of Rostock, Germany 德国 2023/4 proposed by Professor Bill Sands university of Calgary, Canada 加拿大 2023/5 proposed by Toshio Seimiya, Kawasaki Japan / see cruxmathematicorum problem 2023 （以色列） 2023/6 proposed by Alexander Ivanov, Bulgaria 保加利亚 2023/1 proposed by Federico Ardila, university of Los Andes, Bogota Colombia 哥伦比亚 2023/2 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国 2023/3 proposed by Laurentin Panaitopol, university of Bucharest Romania 罗马尼亚 2023/4 proposed by Mihai Manea, Galati Romania 罗马尼亚 2023/5 proposed by B.J.Venkatachala, professor university of Indian Institut of Sciences, Bangalore India 印度 2023/6 proposed by Vyacheslav Yasinskiy, Vinnitsa Pedagogical University, Vinnitsa Ukraine 乌克兰 2023/1 proposed by Carlos Gustavo Moreira, Brasilia 巴西 2023/2 proposed by Bulgaria 保加利亚 2023/3 proposed by Waldemar Pompe, Poland 波兰 2023/4 proposed by Finland 芬兰 2023/5 proposed by Ireland 爱尔兰 2023/6 proposed by Johan Yebbou Professeur Mathematiques Speciales MP* in France 法国 2023/1 proposed by Valentin Vornicu and Dinu Serbanescu, Romania 罗马尼亚 2023/2 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国 2023/3 proposed by Jan Villemson, Estonia 爱沙尼亚 2023/4 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国 2023/5 proposed by Waldemar Pompe, Poland 波兰 2023/6 proposed by Dr. Mohsen Jamaly, Iran 伊朗 2023/1 proposed by Bogdan Enescu, Romania 罗马尼亚 2023/2 proposed by N.G. de Bruijn, Netherlands 荷兰 2023/3 proposed by Hojoo Lee, South Korea 韩国 2023/4 proposed by Mariusz Skalba, Poland 波兰 2023/5 proposed by Waldemar Pompe, Poland 波兰 2023/6 proposed by Radu Gologan and Dan Schwarz, Romania 罗马尼亚 2023/1 proposed by Hojoo Lee, South Korea 韩国 2023/2 proposed by Du?an Djuki?, Serbia 塞尔维亚－黑山 2023/3 proposed by Finbarr Holland, Ireland 爱尔兰 2023/4 proposed by Zuming Feng, USA 美国 冯祖铭 2023/5 proposed by Dan Schwarz, Romania 罗马尼亚 2023/6 proposed by Du?an Djuki?, Serbia 塞尔维亚－黑山 2023年第48届国际数学奥林匹克IMO试题由以下国家提供 第1题：新西兰； 第2题：卢森堡； 第3题：俄罗斯 第5题：英国； 第6题：荷兰 2023年第49届国际数学奥林匹克IMO试题由以下国家提供 第1题由俄罗斯的Andrey Gavrilyuk提供。 第2题由奥地利的Walther Janous提供。 第3题由立陶宛的Kęstutis Česnavičius提供。 第4题由韩国的Hojoo Lee提供,他已为IMO供题多道，经常上mathoe的就都知道此人了。 第5题由法国的Bruno Le Floch and Ilia Smilga共同提供。 第6题由俄罗斯的Vladimir Shmarov提供 我国向IMO提供的题目 2023第27届IMO第2题，这是我国向IMO提供的第一道试题。 在平面上给定的点P0和△A1A2A3，且约定S≥4时，As＝A s-3，构造点列P0，P1，P2，……，使得P k+1为点Pk绕中心A k+1顺时针旋转120°所到达的位置，k＝0，1，2，……。求证：如果P2023＝P0，则△A1A2A3为等边三角形。 由中国科技大学常庚哲和吉林大学齐东旭共同命制。 2023第32届IMO第3题，这是我国向IMO提供的第二道试题。 设S＝｛1，2，3，……，280｝，求最小的自然数n，使得S的每个n元子集中都含有5个两两互素的数。 由南开大学李成章命制。 2023第33届IMO第3题，这是我国向IMO提供的第三道试题。 给定空间中的九个点，其中任何四点都不共面，在每一对点之间都连有一条线段，这条线段可染为红色或蓝色，也可不染色。试求出最小的n值，使得将其中任意n条线段中的每一条任意地染为红蓝二色之一时，在这n条线段的集合中都必然包含有一个各边同色的三角形。 由南开大学李成章命制。 2023年第40届IMO第四题由我国台湾提供。 确定所有的正整数对(n,p)，满足：p是一个素数，n≤2p，且(p-1)n＋1能够被n p-1整除。 | 
