把4/p分为三个埃及分数的举例

Treenewbee

追梦欧德斯 发表于 2023-11-29 08:10
5/121=1/55+1/110+1/132+1/363+1/484+1/605，这种分拆结果最大分母605是不是比726小呢？，因为你遍的程序 ...

部分解，拆分成5-8项之和：

5/121= 1/33+1/220+1/363+1/484+1/605
5/121= 1/33+1/363+1/396+1/484+1/495+1/605
5/121= 1/44+1/99+1/363+1/484+1/495+1/605
5/121= 1/44+1/110+1/330+1/363+1/484+1/605
5/121= 1/44+1/132+1/220+1/363+1/484+1/605
5/121= 1/55+1/110+1/132+1/363+1/484+1/605
5/121= 1/44+1/176+1/220+1/363+1/484+1/528+1/605
5/121= 1/55+1/110+1/176+1/363+1/484+1/528+1/605
5/121= 1/44+1/132+1/363+1/396+1/484+1/495+1/605
5/121= 1/55+1/99+1/220+1/363+1/484+1/495+1/605
5/121= 1/66+1/99+1/132+1/363+1/484+1/495+1/605
5/121= 1/66+1/77+1/220+1/363+1/462+1/484+1/605
5/121= 1/55+1/88+1/330+1/363+1/440+1/484+1/605
5/121= 1/44+1/165+1/264+1/363+1/440+1/484+1/605
5/121= 1/66+1/88+1/165+1/363+1/440+1/484+1/605
5/121= 1/44+1/198+1/220+1/363+1/396+1/484+1/605
5/121= 1/55+1/110+1/198+1/363+1/396+1/484+1/605
5/121= 1/44+1/154+1/330+1/363+1/385+1/484+1/605
5/121= 1/55+1/132+1/154+1/363+1/385+1/484+1/605
5/121= 1/55+1/110+1/220+1/330+1/363+1/484+1/605
5/121= 1/55+1/132+1/165+1/330+1/363+1/484+1/605
5/121= 1/66+1/110+1/132+1/330+1/363+1/484+1/605
5/121= 1/44+1/220+1/231+1/308+1/363+1/484+1/605
5/121= 1/55+1/110+1/231+1/308+1/363+1/484+1/605
5/121= 1/66+1/88+1/220+1/264+1/363+1/484+1/605
5/121= 1/66+1/99+1/198+1/220+1/363+1/484+1/605
5/121= 1/66+1/110+1/165+1/220+1/363+1/484+1/605
5/121= 1/44+1/198+1/297+1/363+1/484+1/495+1/594+1/605
5/121= 1/44+1/220+1/297+1/363+1/396+1/484+1/594+1/605
5/121= 1/55+1/110+1/297+1/363+1/396+1/484+1/594+1/605
5/121= 1/66+1/99+1/220+1/297+1/363+1/484+1/594+1/605
5/121= 1/44+1/220+1/286+1/363+1/429+1/484+1/572+1/605
5/121= 1/55+1/110+1/286+1/363+1/429+1/484+1/572+1/605
5/121= 1/44+1/176+1/363+1/396+1/484+1/495+1/528+1/605
5/121= 1/66+1/99+1/176+1/363+1/484+1/495+1/528+1/605
5/121= 1/55+1/154+1/176+1/363+1/385+1/484+1/528+1/605
5/121= 1/55+1/165+1/176+1/330+1/363+1/484+1/528+1/605
5/121= 1/66+1/110+1/176+1/330+1/363+1/484+1/528+1/605
5/121= 1/66+1/132+1/176+1/220+1/363+1/484+1/528+1/605
5/121= 1/66+1/77+1/363+1/396+1/462+1/484+1/495+1/605
5/121= 1/77+1/99+1/132+1/363+1/462+1/484+1/495+1/605
5/121= 1/88+1/99+1/110+1/363+1/440+1/484+1/495+1/605
5/121= 1/44+1/220+1/330+1/363+1/396+1/484+1/495+1/605
5/121= 1/55+1/110+1/330+1/363+1/396+1/484+1/495+1/605
5/121= 1/44+1/231+1/308+1/363+1/396+1/484+1/495+1/605
5/121= 1/66+1/88+1/264+1/363+1/396+1/484+1/495+1/605
5/121= 1/55+1/132+1/220+1/363+1/396+1/484+1/495+1/605
5/121= 1/66+1/99+1/198+1/363+1/396+1/484+1/495+1/605
5/121= 1/66+1/110+1/165+1/363+1/396+1/484+1/495+1/605
5/121= 1/66+1/99+1/220+1/330+1/363+1/484+1/495+1/605
5/121= 1/66+1/99+1/231+1/308+1/363+1/484+1/495+1/605
5/121= 1/77+1/99+1/154+1/308+1/363+1/484+1/495+1/605
5/121= 1/88+1/99+1/132+1/264+1/363+1/484+1/495+1/605
5/121= 1/99+1/110+1/132+1/165+1/363+1/484+1/495+1/605
5/121= 1/77+1/88+1/165+1/363+1/440+1/462+1/484+1/605
5/121= 1/44+1/231+1/330+1/363+1/385+1/462+1/484+1/605
5/121= 1/55+1/132+1/231+1/363+1/385+1/462+1/484+1/605
5/121= 1/77+1/110+1/132+1/330+1/363+1/462+1/484+1/605
5/121= 1/77+1/88+1/220+1/264+1/363+1/462+1/484+1/605
5/121= 1/77+1/99+1/198+1/220+1/363+1/462+1/484+1/605
5/121= 1/77+1/110+1/165+1/220+1/363+1/462+1/484+1/605
5/121= 1/55+1/132+1/264+1/330+1/363+1/440+1/484+1/605
5/121= 1/55+1/165+1/220+1/264+1/363+1/440+1/484+1/605
5/121= 1/66+1/110+1/220+1/264+1/363+1/440+1/484+1/605
5/121= 1/66+1/132+1/165+1/264+1/363+1/440+1/484+1/605
5/121= 1/88+1/110+1/132+1/220+1/363+1/440+1/484+1/605
5/121= 1/88+1/99+1/165+1/198+1/363+1/440+1/484+1/605
5/121= 1/55+1/154+1/198+1/363+1/385+1/396+1/484+1/605
5/121= 1/55+1/165+1/198+1/330+1/363+1/396+1/484+1/605
5/121= 1/66+1/110+1/198+1/330+1/363+1/396+1/484+1/605
5/121= 1/66+1/132+1/198+1/220+1/363+1/396+1/484+1/605
5/121= 1/55+1/154+1/220+1/330+1/363+1/385+1/484+1/605
5/121= 1/66+1/132+1/154+1/330+1/363+1/385+1/484+1/605
5/121= 1/55+1/154+1/231+1/308+1/363+1/385+1/484+1/605
5/121= 1/66+1/154+1/165+1/220+1/363+1/385+1/484+1/605
5/121= 1/55+1/165+1/231+1/308+1/330+1/363+1/484+1/605
5/121= 1/66+1/110+1/231+1/308+1/330+1/363+1/484+1/605
5/121= 1/77+1/110+1/154+1/308+1/330+1/363+1/484+1/605
5/121= 1/88+1/110+1/132+1/264+1/330+1/363+1/484+1/605
5/121= 1/99+1/110+1/132+1/198+1/330+1/363+1/484+1/605
5/121= 1/66+1/132+1/220+1/231+1/308+1/363+1/484+1/605
5/121= 1/77+1/132+1/154+1/220+1/308+1/363+1/484+1/605
5/121= 1/88+1/99+1/198+1/220+1/264+1/363+1/484+1/605
5/121= 1/88+1/110+1/165+1/220+1/264+1/363+1/484+1/605
5/121= 1/99+1/110+1/165+1/198+1/220+1/363+1/484+1/605

zengyong

干嘛一片寂静？

邓老师追到哪里了？

追梦欧德斯

zengyong 发表于 2023-12-4 21:47
干嘛一片寂静？

邓老师追到哪里了？

我已经说过了，我总结归纳的真分数分拆成若干个单位分数之和的充要条件，只要确定n，不用电脑就能快速实现分拆，解释了欧德斯猜想不能通过分类证明实现，真分数分拆两种新法，一种快速实现分拆，一种求分拆结果中最大分母尽量小，所以任何真分数m/n 确定n,m都能得到理想的分拆结果，已经反复验证过，包括以前别人文章不能分类的情况，我都继续分成几百上千的通项公式，再继续分只是缩小范围，并不能达到证明的目的，现在正在等这方面的学者、专家现场答疑。

zengyong

祝您成功！

zengyong

4/1681
4/3481
4/5041
凭我的经验，这几个是非常难的。
如果您能不借电脑查询，而是用你的公式或方法找出，那么你就是大师级别的高手了。

追梦欧德斯

zengyong 发表于 2023-12-8 00:07
4/1681
4/3481
4/5041

这个太容易了，所有分拆我都是用公式人工计算的，以上三个我每个罗列两个分拆结果吧:4/1681=1/421+241654+1/9907814、4/1681=1/422+1/103812+1/4256292、4/3481=1/871+1/770835+1/45479265、4/5041=1/1261+1/2148744+1/15260824、4/5041=1/1265+1/359260+1/5101492，当然还有其他分拆结果我就不一一罗列

追梦欧德斯

4/3481=1/874+1/206264+1/12169576

追梦欧德斯

等哪天你看了我的方法，只要确定n值，大家都能在几分钟实现分拆，而且使用所有真分数分拆

zengyong

邓老师，我验算了第1个式子，完全正确！！！
您太牛了！！！
服您了！
我现在只差这类的直接计算公式了（这类我只有通用的条件公式）。
祝贺您！
但路也许还很漫长，坚持就是胜利！