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17 lines (17 loc) · 1.64 KB
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\contentsline {section}{\numberline {1}猜想陈述}{1}{section.1}%
\contentsline {section}{\numberline {2}核心文献:Størmer--Lehmer--Todd 传统}{2}{section.2}%
\contentsline {subsection}{\numberline {2.1}奠基性工作(1896--1949)}{2}{subsection.2.1}%
\contentsline {subsection}{\numberline {2.2}现代发展(1996--2025)}{2}{subsection.2.2}%
\contentsline {section}{\numberline {3}解析数论工具}{3}{section.3}%
\contentsline {subsection}{\numberline {3.1}除数函数与分裂森林的``茂密性''}{3}{subsection.3.1}%
\contentsline {subsection}{\numberline {3.2}素数与角度的分布}{3}{subsection.3.2}%
\contentsline {section}{\numberline {4}代数数论基础}{4}{section.4}%
\contentsline {section}{\numberline {5}现代攻击工具}{4}{section.5}%
\contentsline {subsection}{\numberline {5.1}工具矩阵}{4}{subsection.5.1}%
\contentsline {subsection}{\numberline {5.2}已知障碍}{5}{subsection.5.2}%
\contentsline {section}{\numberline {6}四条攻击路径}{5}{section.6}%
\contentsline {subsection}{\numberline {6.1}路径A:归纳法 + 有界范数归约(\textcolor {darkred}{$\bigstar \bigstar \bigstar \bigstar \bigstar $}{} 最可行)}{5}{subsection.6.1}%
\contentsline {subsection}{\numberline {6.2}路径B:重写系统合流性证明(\textcolor {darkblue}{$\bigstar \bigstar \bigstar \bigstar $}{} 优雅但困难)}{6}{subsection.6.2}%
\contentsline {subsection}{\numberline {6.3}路径C:渐近完备性(筛法路线)}{6}{subsection.6.3}%
\contentsline {subsection}{\numberline {6.4}路径D:数值穷举 + 结构化归纳}{6}{subsection.6.4}%
\contentsline {section}{\numberline {7}下一步行动}{7}{section.7}%