📉 生成亏数Generate Deficient Numbers
生成真因数之和小于自身的亏数。可设个数与起点，本地处理。可设置「个数」、「起点」。Generate deficient numbers (proper-divisor sum less than the number). Set how many and where to start. Processed locally. Settings: How many, Start.
使用说明与常见问题How-to & FAQ
「生成亏数」是什么？What is the Generate Deficient Numbers tool?
生成真因数之和小于自身的亏数。可设个数与起点，本地处理。可设置「个数」、「起点」。Generate deficient numbers (proper-divisor sum less than the number). Set how many and where to start. Processed locally. Settings: How many, Start.
如何使用「生成亏数」？How do I use the Generate Deficient Numbers tool?
在「生成亏数」中，按需设置「个数」、「起点」，结果会实时显示在下方，点击「复制结果」即可复制。In the Generate Deficient Numbers: Adjust "How many", "Start"; the result appears below instantly — click "Copy result" to copy it.
质数是亏数吗？Are primes deficient?
是。质数的真因数只有 1，和为 1 < p。Yes. A prime's only proper divisor is 1, so the sum is 1 < p.
输入和输出是什么样的？What does the input and output look like?
例如在「生成亏数」中把「个数」设为 5，「起点」设为 1，输出为：1 ⏎ 2 ⏎ 3 ⏎ 4 ⏎ 5（⏎ 表示换行）。For example, in the Generate Deficient Numbers with "How many" set to 5, "Start" set to 1, the output is: 1 ⏎ 2 ⏎ 3 ⏎ 4 ⏎ 5 (⏎ marks a line break).
有哪些选项可以调整？What options can I adjust?
「生成亏数」的设置：「个数」默认 20；「起点」默认 1。每次生成结果都按当前设置处理。Settings in the Generate Deficient Numbers — "How many" default 20; "Start" default 1. The result always uses the current settings.
计算精度如何？How precise are the results?
「生成亏数」中的整数都用大整数（BigInt）精确计算，不经过浮点，所以再长的项也不会丢失位数；输入超出页面说明的范围时会给出提示，而不是悄悄截断。Integers in the Generate Deficient Numbers are computed exactly with big integers (BigInt), with no floating-point step, so even very long terms keep every digit; values outside the stated ranges give a message instead of being silently cut off.
「生成亏数」免费吗？需要注册吗？Is the Generate Deficient Numbers free? Do I need an account?
「生成亏数」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Generate Deficient Numbers is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.