| 百万港元征解余新河数学题的等价命题 |
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| 引用本文： | 姚天行.百万港元征解余新河数学题的等价命题[J].南京大学学报(自然科学版),1993,29(3):369-375. |
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| 作者姓名： | 姚天行 |
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| 作者单位： | 南京大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 百万港元征解余新河数学题(YP)长达数千言,本文讨论了该题的两种解释,即弱余新河数学题(WYP)与强余新河数学题(SYP),分别给出了与其等价的几个简短命题,并证明了哥德巴赫猜想的正确性蕴含WYP的正确性;SYP的正确性蕴含下述命题:一切正偶数都可以表示为至多三个素数之和。
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| 关 键 词： | 集合 素数 哥德巴赫猜想 |
THE PROPOSITION EQUIVALENT TO YU XINHE'S MATH.PROBLEM WITH 1,000,000HK$ |
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| Yao Tianxing.THE PROPOSITION EQUIVALENT TO YU XINHE''''S MATH.PROBLEM WITH 1,000,000HK$[J].Journal of Nanjing University: Nat Sci Ed,1993,29(3):369-375. |
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| Authors: | Yao Tianxing |
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| Institution: | Department of Mathematics |
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| Abstract: | Yu Xinhe's math. problem (YP) with 1,000,000HK $ has thousands words. This article discusses two different senses of YP, i.e. weak YP(WYP) and strong YP(SYP). It also gives some short equivalent propositions respectively, and proves that the correctness of Goldbach conjecture implies the correctness of WYP and the correctness SYP implies that each positive even number can be expressed as a sum of no more than three prime numbers. |
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| Keywords: | set prime number Goldbach conjecture |
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