程中占的新课题

lusishun

求：A^（16n+10）+B^（16n+6）=C^（16n+2）
的通解.

lusishun

当n=1、2时，方程是：
X^26+Y^22=Z^18.
X^42+Y^38=Z^34.

lusishun

他的通解，发在幻方论坛上了。

时空伴随者

已阅，照此办理。
2023-05-30 10:07:59
equation: \(X^{10}+Y^{6}=Z^{2}\)
\(2^4+3^2=5^2 两边同乘 2^{6}3^{10}\)
\((2^13^1)^{10}+(2^13^{2})^{6}=(2^33^55)^2\)
\((2^{23}3^{27}5^{11})^{26}+(2^{27}3^{32}5^{13})^{22}=(2^{33}3^{39}5^{16})^{18}\)
equation: \(X^{42}+Y^{38}=Z^{34}\)
\(2^4+3^2=5^2 两边同乘 2^{3230}3^{3570}5^{1596}\)
\((2^{77}3^{85}5^{38})^{42}+(2^{85}3^{94}5^{42})^{38}=(2^{95}3^{105}5^{47})^{34}\)
equation: \(X^{58}+Y^{54}=Z^{50}\)
\(2^4+3^2=5^2 两边同乘 2^{9450}3^{10150}5^{4698}\)
\((2^{163}3^{175}5^{81})^{58}+(2^{175}3^{188}5^{87})^{54}=(2^{189}3^{203}5^{94})^{50}\)
equation: \(X^{74}+Y^{70}=Z^{66}\)
\(2^4+3^2=5^2 两边同乘 2^{20790}3^{21978}5^{10360}\)
\((2^{281}3^{297}5^{140})^{74}+(2^{297}3^{314}5^{148})^{70}=(2^{315}3^{333}5^{157})^{66}\)
equation: \(X^{90}+Y^{86}=Z^{82}\)
\(2^4+3^2=5^2 两边同乘 2^{38786}3^{40590}5^{19350}\)
\((2^{431}3^{451}5^{215})^{90}+(2^{451}3^{472}5^{225})^{86}=(2^{473}3^{495}5^{236})^{82}\)
equation: \(X^{106}+Y^{102}=Z^{98}\)
\(2^4+3^2=5^2 两边同乘 2^{64974}3^{67522}5^{32436}\)
\((2^{613}3^{637}5^{306})^{106}+(2^{637}3^{662}5^{318})^{102}=(2^{663}3^{689}5^{331})^{98}\)
equation: \(X^{122}+Y^{118}=Z^{114}\)
\(2^4+3^2=5^2 两边同乘 2^{100890}3^{104310}5^{50386}\)
\((2^{827}3^{855}5^{413})^{122}+(2^{855}3^{884}5^{427})^{118}=(2^{885}3^{915}5^{442})^{114}\)
equation: \(X^{138}+Y^{134}=Z^{130}\)
\(2^4+3^2=5^2 两边同乘 2^{148070}3^{152490}5^{73968}\)
\((2^{1073}3^{1105}5^{536})^{138}+(2^{1105}3^{1138}5^{552})^{134}=(2^{1139}3^{1173}5^{569})^{130}\)
equation: \(X^{154}+Y^{150}=Z^{146}\)
\(2^4+3^2=5^2 两边同乘 2^{208050}3^{213598}5^{103950}\)
\((2^{1351}3^{1387}5^{675})^{154}+(2^{1387}3^{1424}5^{693})^{150}=(2^{1425}3^{1463}5^{712})^{146}\)
用时 0.00000 秒

lusishun

程先生说，时刻伴随者做出来的答案，仅是特解吧？我这一看，程先生料事如神啊！
是做处n的几个值的方程的特解啊！

lusishun

n为任意的正整数，程就是棒

lusishun

………………………………………,vvv

wangyangke

哥猜分坛的鲁思顺是个三愚蠢四无知的老牌二百五
窥熊一兵王若仲赞评鲁思顺哥猜证明之一斑而知熊王诸多猜想证明之全豹是垃圾
论坛上没有称得上靠得住的哥猜证明，却有些靠得住的二百五；鲁思顺是二百五中的突出代表，，，
鲁思顺、熊一兵、王若仲，一群傻瓜蛋