Answer

问题及解答

$2^{7^9}\equiv 2^7\pmod{279}$

Posted by haifeng on 2022-06-13 20:03:38 last update 2022-06-13 20:16:19 | Edit | Answers (0)

 

\[2^{7^9}\equiv 2^7\pmod{279}\]

 

 

发现于 2022-06-12

By haifeng

 


Question:

有没有其他类似的等式了?

例如: 设 $x,y,z\in\{1,2,3,4,5,6,7,8,9\}$ 

\[x^{y^z}\equiv x^y\pmod{\overline{xyz}},\]

这里 $\overline{xyz}=100x+10y+z$.