把4/p分为三个埃及分数的举例

费尔马1

关于欧德斯猜想的几个举例:
4/241=1/63+1/1446+1/30366
4/241=1/66+1/723+1/15906
4/337=1/85+1/11458+1/57290
4/409=1/105+1/4090+1/85890
4/433=1/110+1/9526+1/23815
4/457=1/115+1/21022+1/105110
4/577=1/145+1/33466+1/167330
4/601=1/154+1/6611+1/92554
4/673=1/170+1/22882+1/57205
4/769=1/196+1/10766+1/150724
4/937=1/235+1/88078+1/440390
4/1009=1/253+1/92828+1/1021108
4/1033=1/260+1/53716+1/134290
4/1129=1/285+1/33870+1/214510
4/1153=1/290+1/66874+1/167185
4/1153=1/289+1/117606+1/1999302
4/1201=1/306+1/21618+1/61251
4/1249=1/315+1/37470+1/786870
4/1297=1/325+1/168610+1/843050
4/1321=1/336+1/21136+1/221928

4/1801=1/456+1/43224+1/205314
4/1489=1/378+1/26802+1/281421
4/1489=1/378+1/40203+1/62538
4/1753=1/440+1/154264+1/385660
4/1753=1/441+1/73626+1/1546146



4/2089=1/528+1/50136+1/1102992
4/2161=1/546+1/56186+1/589953
4/2281=1/574+1/93521+1/1309294
4/2689=1/676+1/139828+1/908882
4/3001=1/756+1/108036+1/1134378
4/3001=1/756+1/162054+1/252084
4/3001=1/754+1/174058+1/1131377



4/995881=1/248976+1/11807165136+1/123975233928
4/995881=1/248976+1/13050024624+1/61987616964
4/995881=1/248976+1/15496904241+1/35421495408
4/995881=1/248976+1/17710747704+1/27550051984

费尔马1

我今天又找了三个难度最大的素数p，996409  996529  996841，试把4/p分为三个埃及分数的和。

费尔马1

三个难度最大的素数p，996409  996529  996841，试把4/p分为三个埃及分数的和:
4/996409=1/249106+1/19093189258+1/124105730177
4/996529=1/249135+1/29208264990+1/99308100966
4/996841=1/249214+1/17744766641+1/248426732974

lusishun

别太累了，高兴的放不下了？哈哈，您是深深的被其中的奇妙吸引了，

费尔马1

谢谢！鲁老师关注！
我只不过是对欧德斯猜想进行探究，此猜想的解决有难度的啊！

zengyong

4/996409=1/90584+1/6942977912+1/45029356428
4/996841==1/249216+1/248428726656+1/11289214848
4/996529=1/66264+1/66264+1/2901515348

lusishun

zengyong 发表于 2018-2-11 14:20
4/996409=1/90584+1/6942977912+1/45029356428
4/996841==1/249216+1/248428726656+1/11289214848
4/9965 ...

找一找，一般规律，就可以啊？我相信您这选题，有意义

费尔马1

谢谢zengyong老师关注！我检验了您的这三个式子，都不成立啊！请老师再仔细检查一下。
4/996409=1/90584+1/6942977912+1/45029356428
4/996841==1/249216+1/248428726656+1/11289214848
4/996529=1/66264+1/66264+1/2901515348

zengyong

不好意思，数太大，计算错了。重做得如下结果，不知对否？

4/996409=1/249106+1/1847389258+1/2771083887

费尔马1

重做得如下结果，不知对否？


下面这个题还是不成立啊！


4/996409=1/249106+1/1847389258+1/2771083887