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为什么应该对「整数分解问题存在高效经典算法」抱有信心 - @张凯羿 的文章 - 知乎
编辑于 2025-08-31 21:20
「整数分解问题」被广泛地认为是一个困难问题。然而,笔者在最近数月的早期研究中发现了诸多疑点。就结论而言,笔者认为大整数分解是一个具有极高价值却未得到充分研究的重要科学问题。
本文的主要目标是破除普遍存在的「整数分解问题不应尝试」的盲目信念,帮助所有有志研究该问题的数论与计算机科学爱好者树立信心。本文将以整数分解问题为核心,介绍其本身性质、与其他问题的关联、研究历史及相关人物等。
所需预备知识包括初等计算数论、计算复杂性理论,以及科普级别的量子计算背景。
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为什么应该对「整数分解问题存在高效经典算法」抱有信心 - @张凯羿 的文章 - 知乎
编辑于 2025-08-31 21:20

「整数分解问题」被广泛地认为是一个困难问题。然而,笔者在最近数月的早期研究中发现了诸多疑点。就结论而言,笔者认为大整数分解是一个具有极高价值却未得到充分研究的重要科学问题。
本文的主要目标是破除普遍存在的「整数分解问题不应尝试」的盲目信念,帮助所有有志研究该问题的数论与计算机科学爱好者树立信心。本文将以整数分解问题为核心,介绍其本身性质、与其他问题的关联、研究历史及相关人物等。
所需预备知识包括初等计算数论、计算复杂性理论,以及科普级别的量子计算背景。

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