[数论] $\{n,n+a,n+b\}\cap Z_0\ne\emptyset$

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hbghlyj posted 2020-4-12 18:07 |Read mode

Last edited by hbghlyj 2020-4-12 18:13不存在整数对(a,b)满足$ab(a-b)\ne0\land(\exists Z_0\subset\mathbf Z)(\forall n\in\mathbf N_+)(\{n,n+a,n+b\}\cap Z_0\ne\emptyset)$
证明：不妨设a,b互素,

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2025-6-8 12:16 GMT+8

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