把这三个分数各分成三个单位分数

费尔马1

zengyong老师您好！
已经检验了，有两个解是对的:
4/997081=1/249340+1/49722435308+1/907343710
4/997081=1/249288+1/10356680347+1/5288517624

zengyong

的确错两个，改正如下
4/997081=1/249280+1/13081702720+1/12427617584
4/997081==1/249312+1/1563423008+1/31073032284

所以说，这道难题的好处之一就是：错的就是错的，忽悠不了能人。

费尔马1

4/997081=1/249284+1/4522759416+1/5752303868664

费尔马1

曾老师您好！
您修改的这两个解是正确的！祝贺！

过目不忘

4/997081=1/249271+1/124271078394+1/248545820311
4/997081=1/249271+1/124271061667+1/248545887243
4/997081=1/249271+1/124270948131+1/248546341402
4/997081=1/249271+1/124270887690+1/248546583153
4/997081=1/249271+1/124270837560+1/248546783669
4/997081=1/249271+1/124270819505+1/248546855882
4/997081=1/249271+1/124270801821+1/248546926629
4/997081=1/249271+1/124270784487+1/248546995996
4/997081=1/249271+1/124270778780+1/248547018823
4/997081=1/249271+1/124270745267+1/248547152891
4/997081=1/249271+1/124270681575+1/248547407663
4/997081=1/249271+1/124270636329+1/248547588636
4/997081=1/249271+1/124270631425+1/248547608269
4/997081=1/249271+1/124270626537+1/248547627806
4/997081=1/249271+1/124270592952+1/248547762147
4/997081=1/249271+1/124270583544+1/248547799781
4/997081=1/249271+1/124270574218+1/248547837099
4/997081=1/249271+1/124270489214+1/248548177158
4/997081=1/249271+1/124270472068+1/248548245718
4/997081=1/249271+1/124270459368+1/248548296513
4/997081=1/249271+1/124270455169+1/248548313332
4/997081=1/249271+1/124270430240+1/248548413048
4/997081=1/249271+1/124270358255+1/248548701000
4/997081=1/249271+1/124270316121+1/248548869543
4/997081=1/249271+1/124270257054+1/248549105857
4/997081=1/249271+1/124270231953+1/248549206222
4/997081=1/249271+1/124270179594+1/248549415695
4/997081=1/249271+1/124270165939+1/248549470341
4/997081=1/249271+1/124270119057+1/248549657839
4/997081=1/249271+1/124270086423+1/248549788421
4/997081=1/249271+1/124270060777+1/248549890993
4/997081=1/249271+1/124269983132+1/248550201616
4/997081=1/249271+1/124269947087+1/248550345794
4/997081=1/249271+1/124269929344+1/248550416778
4/997081=1/249271+1/124269731547+1/248551208039
4/997081=1/249271+1/124269723624+1/248551239716
4/997081=1/249271+1/124269671628+1/248551447744
4/997081=1/249271+1/124269643590+1/248551559903
4/997081=1/249271+1/124269633485+1/248551600305
4/997081=1/249271+1/124269630968+1/248551610376
4/997081=1/249271+1/124269556833+1/248551906968
4/997081=1/249271+1/124269447906+1/248552342696
4/997081=1/249271+1/124269429507+1/248552416338
4/997081=1/249271+1/124269330831+1/248552811062
4/997081=1/249271+1/124269317699+1/248552863620
4/997081=1/249271+1/124269274421+1/248553036732
4/997081=1/249271+1/124269253069+1/248553122134
4/997081=1/249271+1/124269229800+1/248553215223
4/997081=1/249271+1/124269210931+1/248553290742
4/997081=1/249271+1/124269204665+1/248553315781
4/997081=1/249271+1/124269200497+1/248553332439
4/997081=1/249271+1/124269173600+1/248553440066
4/997081=1/249271+1/124269140883+1/248553570968
4/997081=1/249271+1/124269060856+1/248553891082
4/997081=1/249271+1/124269010128+1/248554094036
4/997081=1/249271+1/124268966034+1/248554270415
4/997081=1/249271+1/124268902136+1/248554526045
4/997081=1/249271+1/124268878088+1/248554622250
4/997081=1/249271+1/124268874414+1/248554636984
4/997081=1/249271+1/124268868893+1/248554659033
4/997081=1/249271+1/124268867061+1/248554666378
4/997081=1/249271+1/124268823362+1/248554841180
4/997081=1/249271+1/124268814347+1/248554877267
4/997081=1/249271+1/124268766126+1/248555070196
4/997081=1/249271+1/124268727407+1/248555225068
4/997081=1/249271+1/124268689196+1/248555377948
4/997081=1/249271+1/124268684023+1/248555398645
4/997081=1/249271+1/124268636163+1/248555590121
4/997081=1/249271+1/124268634465+1/248555596902
4/997081=1/249271+1/124268620932+1/248555651028
4/997081=1/249271+1/124268492019+1/248556166784
4/997081=1/249271+1/124268358758+1/248556699898
4/997081=1/249271+1/124268332432+1/248556805215
4/997081=1/249271+1/124268313974+1/248556879063
4/997081=1/249271+1/124268199330+1/248557337691
4/997081=1/249271+1/124268158039+1/248557502913
4/997081=1/249271+1/124268152173+1/248557526353
4/997081=1/249271+1/124268146322+1/248557549759
4/997081=1/249271+1/124268128831+1/248557619749
4/997081=1/249271+1/124268118665+1/248557660416
4/997081=1/249271+1/124268019970+1/248558055255
4/997081=1/249271+1/124268007295+1/248558105978
4/997081=1/249271+1/124267963954+1/248558279359
4/997081=1/249271+1/124267926618+1/248558428746
4/997081=1/249271+1/124267919741+1/248558456245
4/997081=1/249271+1/124267827472+1/248558825407
4/997081=1/249271+1/124267804748+1/248558916328
4/997081=1/249271+1/124267796758+1/248558948290
4/997081=1/249271+1/124267703433+1/248559321647
4/997081=1/249271+1/124267685292+1/248559394243
4/997081=1/249271+1/124267614788+1/248559676298
4/997081=1/249271+1/124267544243+1/248559958560
4/997081=1/249271+1/124267535501+1/248559993499
4/997081=1/249271+1/124267488404+1/248560181935
4/997081=1/249271+1/124267485941+1/248560191795
4/997081=1/249271+1/124267427228+1/248560426705
4/997081=1/249271+1/124267377705+1/248560624820
4/997081=1/249271+1/124267283860+1/248561000281
4/997081=1/249271+1/124267206964+1/248561307931
4/997081=1/249271+1/124267165573+1/248561473537
4/997081=1/249271+1/124267163287+1/248561482695

费尔马1

太棒了！
谢谢过目不忘老师关注！
看来，老师您证明欧德斯猜想，已经指日可待了！

费尔马1

4/997081=1/249288+1/3501748472+1/13639748016999

zengyong

过目不忘网友的确是电算高手，一下能 找出那么多的答案。
不过老夫有些怀疑，这显然出自计算机之手。如果你没有告诉它是数论的 题目，需要整数运算，分毫不差。机器人“汪仔”高手也会出错啊。

费尔马1

过目不忘网友是我的老师，是他告诉我数学界排名第24题的数学难题---欧德斯猜想。我们师生俩人才共同研究这个题，现在已经有较好的方法可以解决随机给定的一个素数p，4/p的分解。
老师会编程，他说，4/997081，仅仅含1/249271的解就有千万级别的13303189个分解方法，花时半小时不到一点点。

费尔马1

4/997081=1/249300+1/2088884695+1/104151790892700