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Safe Prime Calculator

Free online safe 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:安全素数在线计算器

Safe Prime Calculator
k(生成前 k 个安全素数,k ≤ 200)

定义

p 是安全素数 ⟺ p 与 (p−1)/2 都是素数

前 20 个:5, 7, 11, 23, 47, 59, 83, 107, 167, 179, 227, 263, 347, 359, 383, 467, 479, 503, 563, 587

安全素数形如 2q + 1,其中 q 是 Sophie–Germain 素数。名字来自离散对数密码学:基于模 p 的群中,p−1 的大素数因子使 Pohlig–Hellman 攻击失效,因此 Diffie–Hellman 密钥交换偏好安全素数。

How to use the Safe 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 Safe 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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Free online math calculators for algebra, statistics, number theory and everyday arithmetic — from quadratic equations and matrices to percentages, fractions and prime factorization, each with step-by-step formulas.

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