≈ 生成几乎完全数Generate Almost Perfect Numbers
生成几乎完全数（真因数之和 = n−1）。已知的几乎完全数都是 2 的幂；本工具按此列出。本地处理。Generate almost perfect numbers (proper-divisor sum = n−1). All known examples are powers of two; this tool lists those. Processed locally.
使用说明与常见问题How-to & FAQ
「生成几乎完全数」是什么？What is the Generate Almost Perfect Numbers tool?
生成几乎完全数（真因数之和 = n−1）。已知的几乎完全数都是 2 的幂；本工具按此列出。本地处理。Generate almost perfect numbers (proper-divisor sum = n−1). All known examples are powers of two; this tool lists those. Processed locally.
如何使用「生成几乎完全数」？How do I use the Generate Almost Perfect Numbers tool?
在「生成几乎完全数」中，按需设置「个数」，结果会实时显示在下方，点击「复制结果」即可复制。In the Generate Almost Perfect Numbers: Adjust "How many"; the result appears below instantly — click "Copy result" to copy it.
是否已证明只有 2 的幂？Are only powers of two almost perfect?
目前已知的几乎完全数都是 2 的幂；是否还有别的仍是开放问题。本工具列出 2^k。Every known almost perfect number is a power of two; whether others exist is open. This tool lists 2^k.
输入和输出是什么样的？What does the input and output look like?
例如在「生成几乎完全数」中把「个数」设为 4，输出为：1 ⏎ 2 ⏎ 4 ⏎ 8（⏎ 表示换行）。For example, in the Generate Almost Perfect Numbers with "How many" set to 4, the output is: 1 ⏎ 2 ⏎ 4 ⏎ 8 (⏎ marks a line break).
有哪些选项可以调整？What options can I adjust?
「生成几乎完全数」的设置：「个数」默认 10。每次生成结果都按当前设置处理。Settings in the Generate Almost Perfect Numbers — "How many" default 10. The result always uses the current settings.
计算精度如何？How precise are the results?
「生成几乎完全数」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 Almost Perfect 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.
「生成几乎完全数」免费吗？需要注册吗？Is the Generate Almost Perfect Numbers free? Do I need an account?
「生成几乎完全数」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 Almost Perfect 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.