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楼主: 波浪

李明波第十五猜想

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 楼主| 发表于 2010-3-24 21:22 | 显示全部楼层

李明波第十五猜想

[这个贴子最后由波浪在 2010/03/24 09:27pm 第 2 次编辑]
下面引用由gaocd2009/07/06 05:40pm 发表的内容:
他?它?
哈,哈哈,哈哈哈,哈哈哈哈!
畜牲吧?
http://www.mathchina.com/cgi-bin/topic.cgi?forum=5&topic=6869&start=12&show=0&man=
    中国畜牲李明波--可以飘扬五星红旗吗?
http://www.baidu.com/s?wd=%C0%EE%C3%F7%B2%A8%B6%A8%C0%ED&cl=0

http://www.jinqianzx.com/zhu/forum_posts.asp?TID=1326&N=0&TPN=35
 楼主| 发表于 2010-3-26 06:55 | 显示全部楼层

李明波第十五猜想

wanwna 先生曾经给出:
代码:
--------------------------------------------------------------------------------
&#36; awk ';BEGIN{for(i=1;i<1000;i++){for(j=i;j<1000;j++)print i*i*i*i+j*j*j*j,i,j}}'; | sort | awk ';a==&#36;1{printf("%d^4+%d^4=%d^4+%d^4=%d\n",b,c,&#36;2,&#36;3,a);}{a=&#36;1;b=&#36;2;c=&#36;3}';
118^4+316^4=266^4+268^4=10165098512
386^4+584^4=512^4+514^4=138519003152
222^4+631^4=503^4+558^4=160961094577
236^4+632^4=532^4+536^4=162641576192
21^4+717^4=471^4+681^4=264287694402
157^4+227^4=7^4+239^4=3262811042
295^4+790^4=665^4+670^4=397074160625
177^4+474^4=399^4+402^4=51460811217
14^4+478^4=314^4+454^4=52204976672
133^4+134^4=59^4+158^4=635318657
271^4+502^4=298^4+497^4=68899596497
579^4+876^4=768^4+771^4=701252453457
354^4+948^4=798^4+804^4=823372979472
28^4+956^4=628^4+908^4=835279626752
103^4+542^4=359^4+514^4=86409838577
193^4+292^4=256^4+257^4=8657437697

http://www.mathchina.com/cgi-bin/topic.cgi?forum=5&topic=6869&start=12&show=0&man=
可以对 x^5 + y^5 = z^5 + w^5 的解进行搜索吗?
 楼主| 发表于 2010-3-31 20:32 | 显示全部楼层

李明波第十五猜想

30^4 + 120^4 + 272^4 + 315^4 = 353^4,
27^5 + 84^5 + 110^5 + 133^5 = 144^5。
     它们是最小解吗?:em14:
 楼主| 发表于 2010-4-1 09:24 | 显示全部楼层

李明波第十五猜想

下面引用由波浪2010/03/31 08:32pm 发表的内容:
30^4 + 120^4 + 272^4 + 315^4 = 353^4    (1)
27^5 + 84^5 + 110^5 + 133^5 = 144^5     (2)
     它们是最小解吗?
    经查资料表明,(2)式是最小解,但(1)式是否也是目前尚不知道。
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\frac{\square}{\square}\sqrt{\square}\square_{\baguet}^{\baguet}\overarc{\square}\ \dot{\baguet}\left(\square\right)\binom{\square}{\square}\begin{cases}\square\\\square\end{cases}\ \begin{bmatrix}\square&\square\\\square&\square\end{bmatrix}\to\Rightarrow\mapsto\alpha\ \theta\ \pi\times\div\pm\because\angle\ \infty
\frac{\square}{\square}\sqrt{\square}\sqrt[\baguet]{\square}\square_{\baguet}\square^{\baguet}\square_{\baguet}^{\baguet}\sum_{\baguet}^{\baguet}\prod_{\baguet}^{\baguet}\coprod_{\baguet}^{\baguet}\int_{\baguet}^{\baguet}\lim_{\baguet}\lim_{\baguet}^{\baguet}\bigcup_{\baguet}^{\baguet}\bigcap_{\baguet}^{\baguet}\bigwedge_{\baguet}^{\baguet}\bigvee_{\baguet}^{\baguet}
\underline{\square}\overline{\square}\overrightarrow{\square}\overleftarrow{\square}\overleftrightarrow{\square}\underrightarrow{\square}\underleftarrow{\square}\underleftrightarrow{\square}\dot{\baguet}\hat{\baguet}\vec{\baguet}\tilde{\baguet}
\left(\square\right)\left[\square\right]\left\{\square\right\}\left|\square\right|\left\langle\square\right\rangle\left\lVert\square\right\rVert\left\lfloor\square\right\rfloor\left\lceil\square\right\rceil\binom{\square}{\square}\boxed{\square}
\begin{cases}\square\\\square\end{cases}\begin{matrix}\square&\square\\\square&\square\end{matrix}\begin{pmatrix}\square&\square\\\square&\square\end{pmatrix}\begin{bmatrix}\square&\square\\\square&\square\end{bmatrix}\begin{Bmatrix}\square&\square\\\square&\square\end{Bmatrix}\begin{vmatrix}\square&\square\\\square&\square\end{vmatrix}\begin{Vmatrix}\square&\square\\\square&\square\end{Vmatrix}\begin{array}{l|l}\square&\square\\\hline\square&\square\end{array}
\to\gets\leftrightarrow\nearrow\searrow\downarrow\uparrow\updownarrow\swarrow\nwarrow\Leftarrow\Rightarrow\Leftrightarrow\rightharpoonup\rightharpoondown\impliedby\implies\Longleftrightarrow\leftharpoonup\leftharpoondown\longleftarrow\longrightarrow\longleftrightarrow\Uparrow\Downarrow\Updownarrow\hookleftarrow\hookrightarrow\mapsto
\alpha\beta\gamma\Gamma\delta\Delta\epsilon\varepsilon\zeta\eta\theta\Theta\iota\kappa\varkappa\lambda\Lambda\mu\nu\xi\Xi\pi\Pi\varpi\rho\varrho\sigma\Sigma\tau\upsilon\Upsilon\phi\Phi\varphi\chi\psi\Psi\omega\Omega\digamma\vartheta\varsigma\mathbb{C}\mathbb{H}\mathbb{N}\mathbb{P}\mathbb{Q}\mathbb{R}\mathbb{Z}\Re\Im\aleph\partial\nabla
\times\cdot\ast\div\pm\mp\circ\backslash\oplus\ominus\otimes\odot\bullet\varnothing\neq\equiv\not\equiv\sim\approx\simeq\cong\geq\leq\ll\gg\succ\prec\in\ni\cup\cap\subset\supset\not\subset\not\supset\notin\not\ni\subseteq\supseteq\nsubseteq\nsupseteq\sqsubset\sqsupset\sqsubseteq\sqsupseteq\sqcap\sqcup\wedge\vee\neg\forall\exists\nexists\uplus\bigsqcup\bigodot\bigotimes\bigoplus\biguplus\bigcap\bigcup\bigvee\bigwedge
\because\therefore\angle\parallel\perp\top\nparallel\measuredangle\sphericalangle\diamond\diamondsuit\doteq\propto\infty\bowtie\square\smile\frown\bigtriangledown\triangle\triangleleft\triangleright\bigcirc \wr\amalg\models\preceq\mid\nmid\vdash\dashv\nless\ngtr\ldots\cdots\vdots\ddots\surd\ell\flat\sharp\natural\wp\clubsuit\heartsuit\spadesuit\oint\lfloor\rfloor\lceil\rceil\lbrace\rbrace\lbrack\rbrack\vert\hbar\aleph\dagger\ddagger

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