NG.ai

Random Prime Number Generator

Generate random prime numbers for math education and cryptography testing. Uses the Sieve of Eratosthenes algorithm. Set maximum prime value up to 1 million.

Press to Generate
Embed & Developers
<iframe
  src="https://numbergenerator.ai/random-prime/?count=10&prime_max=1000"
  title="Random Prime Number Generator"
  width="100%"
  height="600"
  frameborder="0"
  style="border:1px solid #e5e7eb;border-radius:12px;"
  loading="lazy"
  allow="clipboard-write"
></iframe>

Paste this code into your website to embed the Random Prime Number Generator tool. The iframe will automatically adapt to mobile screens.

About this tool

This tool uses a cryptographically secure pseudo-random number generator (CSPRNG) to ensure fairness and security.

Tip: press Space to generate again.

About Random Prime Number Generator

Generate random prime numbers for math education and cryptography testing. Uses the Sieve of Eratosthenes algorithm. Set maximum prime value up to 1 million.

How to Use Random Prime Number Generator

  1. 1Set maximum prime value
  2. 2Choose how many primes to generate
  3. 3Click 'Generate Primes'
  4. 4Use for math or testing

Features

  • Sieve of Eratosthenes
  • Up to 1M max value
  • Efficient algorithm
  • Math education
  • Random selection

Frequently Asked Questions

How are prime numbers generated?
We use the Sieve of Eratosthenes algorithm to efficiently find all primes up to your maximum value, then randomly select from them using secure random generation.
What's the maximum prime I can generate?
You can set the maximum value from 2 to 1,000,000. The largest prime under 1 million is 999,983.
Can I use this for cryptography?
For educational purposes only. Real cryptography uses much larger primes (hundreds of digits). Our tool is great for learning prime concepts.
What makes a number prime?
A prime number is greater than 1 and only divisible by 1 and itself. Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

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Secure & Private

All generation happens locally in your browser using Web Crypto API (CSPRNG). Your data never leaves your device. No tracking, no storage, complete privacy.