Math & Education Tools
100% Client-Side Sieve calculations run 100% in local browser memory.

Prime Number Generator & Sieve of Eratosthenes

Generate all prime numbers in custom ranges, compute N-th primes, and identify twin prime pairs

Fractions & Number Theory

Fractions, Primes & Factors Studio

Precision fraction reduction to lowest terms, primality tests, Sieve of Eratosthenes generator, divisor sums, and Euclidean GCD/LCM steps.

Found 46 primes (23.1% density)
15 Twin Prime Pairs (primes with gap = 2):(3, 5) (5, 7) (11, 13) (17, 19) (29, 31) (41, 43) (59, 61) (71, 73) ...

Generated Primes (2 – 200)

2357111317192329313741434753596167717379838997101103107109113127131137139149151157163167173179181191193197199

About Prime Number Generator & Sieve of Eratosthenes

Generate prime numbers efficiently using the Sieve of Eratosthenes. Generates all primes in custom intervals up to 10,000, finds the N-th prime number, detects twin prime pairs, and copies primes with 1 click.

Key Capabilities & Features

  • Generates prime numbers in range [a, b] up to 10,000
  • Calculates N-th prime number
  • Identifies twin prime pairs (p, p+2)
  • 1-Click copy to clipboard

How to Use Prime Number Generator & Sieve of Eratosthenes

1

Set Range

Choose starting and ending integers.

2

Generate

View all generated prime numbers.

3

Copy

Copy prime list for coding or homework.

Privacy & In-Browser Execution Guarantee

Sieve calculations run 100% in local browser memory.

Frequently Asked Questions

What is the Sieve of Eratosthenes?

An ancient, highly efficient mathematical algorithm for finding all prime numbers up to any given limit by iteratively marking multiples of each prime as composite.