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Home Prime Calculator

Free online home prime calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.

中文版:Home Prime 在线计算器

Home Prime Calculator
n(求 n 的 home prime,2 ≤ n ≤ 500)

几个经典例子

HP(4) = 211,HP(6) = 23,HP(9) = 311,HP(10) = 773,HP(12) = 223,HP(14) = 13367

规则:把 n 的质因数按升序拼接成新数,重复直到出现素数。HP(8) = 3331113965338635107 需 13 步,是 2..99 中最顽固的一个;是否存在对所有 n 都终止仍无证明。

How to use the Home Prime Calculator

  1. Fill in the inputs with your own numbers — every field shows what it expects.
  2. The result updates instantly as you type; no "Calculate" click needed.
  3. Read the result card for the main figure, the step-by-step formula, and practical notes.

Frequently asked questions

Is the Home Prime Calculator free?

Yes — all math calculators on Calcton are free, with no sign-up required. Your inputs are processed in your browser and never sent to a server.

Is there a Chinese version of this tool?

Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.

References

Formulas and benchmarks used by this calculator follow these published sources.

  1. dlmf.nist.gov
  2. mathworld.wolfram.com
Kevin's profile

KevinContent LeadCalcton Editorial Team · Last updated 2026-09-25

Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.

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