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问题是指一个需要求出解的练习。“数学问题”的范围可以从简单的谜题到考试和竞赛问题,再到需要深刻分析才能证明的主张。

虽然并非绝对标准,但希腊人区分了“问题”(大致是指各种图形的构造)和“定理”(确立所述图形的性质;Heath 1956,第 252、262 和 264 页)。

数学中存在许多未解决的问题。最近已解决的两个著名问题包括费马最后定理(由安德鲁·怀尔斯证明)和开普勒猜想(由 T. C. 海尔斯证明)。在最突出的未解决问题中,有哥德巴赫猜想黎曼猜想、关于存在无限多孪生素数的猜想,以及更多。K.S. 布朗、D. 爱泼斯坦、S. 芬奇和 C. 金伯林维护了大量数学未解决问题的页面。


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参考文献

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