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[数论] $p<q<r,ℓ∣qr,m∣pr,n∣pq,p∣ℓ-1,q∣m-1,r∣n-1$

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hbghlyj posted 2023-5-18 03:37 |Read mode

是否存在质数$p<q<r$和整数$ℓ,m,n>1$使得以下条件成立
\begin{cases}ℓ∣qr\\m∣pr\\n∣pq\\p∣ℓ-1\\q∣m-1\\r∣n-1\end{cases}来源：Can G of order pqr be simple if it's generated by elements of orders p,q?

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$(p,q,r)=(2,3,5)$, $(l,m,n)=(15,10,6)$ posted 2023-5-19 15:03

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2025-6-8 06:44 GMT+8

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