Discuz Math Forum»Forum › Mathematics › High School › 一个不定方程的求解

Return to list New

View 22|Reply 2

[数论] 一个不定方程的求解

[Copy link]

205 Threads	263 Posts	1 Reputation

Send PM

hjfmhh posted 2025-7-14 21:51 |Read mode

$3k-1=3^m+m,$k,m是正整数
这个方程解m是不是一定等于3n-1,n是正整数

Comment

是的设左右两边模3同余进而$m$和$-1$一定模3同余，因此$3|(m+1)$ posted 2025-7-15 00:36

Reply Edit 0

0 Threads	4 Posts	1 Reputation

Send PM

老司機 posted 2025-7-14 21:52

当然
3k-3^m=m+1
3|(m+1)

Reply Edit

Return to list New

Quick Reply

× Quick Reply To Top Edit

2025-7-15 21:06 GMT+8

Powered by Discuz!

Processed in 0.011172 seconds, 23 queries