对“水仙花数”的研究
Study on the “Narcissistic Number”
摘要:
寻找“水仙花数”，使用实验方法，用MATLAB软件编程进行实验，得到了计算“水仙花数”的3种方法。对“水仙花数”的个数是有限的问题，用特殊值法、图解法、方程法、数学归纳法等4种方法进行了论证。对存在水仙花数的自然数位数，用MATLAB编程实验，将上界n≤60由降至n≤42。
Abstract:
In order to find the “Narcissistic Number” in the natural numbers, three methods of calculating the “Narcissistic Number” are obtained by using the experimental method and MATLAB programming. The number of the “Narcissistic Number” is limited. It is demonstrated by four methods: special value method, graphic method, equation method and mathematical induction method. The digits of natural numbers contain the “Narcissistic number” that is experimented with MATLAB programming, and the upper bound is reduced from 60-digits to 42-digits.
文章引用：张少华, 秦进. 对“水仙花数”的研究[J]. 应用数学进展, 2020, 9(12): 2115-2122.
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