About Prime Number Generator
The Prime Number Generator produces a complete list of prime numbers within a specified range. Enter a minimum and maximum value, and the tool instantly computes every prime number in that interval. This is invaluable for mathematics education, cryptography research, and algorithm development.
Students and teachers use this tool to explore prime number distribution and patterns. Seeing the actual list of primes within a range helps learners understand concepts like prime density, twin primes, and prime gaps — the differences between consecutive primes.
Developers working with cryptographic algorithms need prime numbers for key generation, hashing, and random number seeding. This tool provides a quick way to generate candidate primes within a specific range for testing and prototyping.
The generator uses trial division to test each number in the range. For each candidate, it checks divisibility by all integers up to the square root. This is efficient for ranges up to several hundred thousand. For very large ranges, computation may take a moment.
All computation happens locally in your browser. No data is uploaded, stored, or transmitted. The tool is free, requires no registration, and has no usage limits.
How to Use Prime Number Generator
Enter the minimum value of the range.
Enter the maximum value of the range.
The list of prime numbers appears instantly below.
Click Copy to copy the comma-separated list to your clipboard.
Key Benefits
Frequently Asked Questions
What range can I generate primes for?
The tool supports any range where the minimum is less than or equal to the maximum. For very large ranges (over 1 million), computation may take a few seconds.
What is a prime number?
A prime number is a whole number greater than 1 that has exactly two positive divisors: 1 and itself. Examples include 2, 3, 5, 7, 11, and 13.
How are the primes computed?
The tool uses trial division, testing each number for divisibility by all integers up to its square root. This is efficient for most practical ranges.
Is my input uploaded anywhere?
No. All computation happens entirely in your browser. Nothing is stored or transmitted.
Is the Prime Number Generator free?
Yes, it is completely free with no registration required.