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[数论] 整除问题

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realnumber posted 2015-4-27 13:55 |Read mode
$k,m\in N^+$,若$k+m \mid{2km}$,求通解.

















题目本来是高三模拟考试卷上的,只找出一组k,m就可以.现改为求通解.
这个是不是$k=rs(s+t),m=rt(s+t)$,其中$r,s,t$都是正整数,$(s,t)=1$?

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tommywong posted 2015-4-28 09:49
k=3,m=15时r,s,t取啥

$\{(k,l-k)\in N^+ |2k^2\equiv 0 \pmod{l} \}$

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