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.

What's the maximum prime I can generate?

You can set the maximum value from 2 to 1,000,000. Higher values may take longer to process.

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

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<iframe
  src="https://numbergenerator.ai/random-prime/"
  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

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

Features

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

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.
What's the maximum prime I can generate?: You can set the maximum value from 2 to 1,000,000. Higher values may take longer to process.

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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.