Prime range generator

Generate every prime between two inclusive bounds. Copy the list or download a CSV, with exact results up to 1 billion.

Primes from 1 to 100

25 found

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Generate every prime in a range

A prime is a whole number greater than 1 with exactly two positive divisors. Both bounds are included. Between 10 and 20, the primes are 11, 13, 17 and 19. A range containing only 0 and 1 has no primes.

Why a sieve works

The segmented sieve marks multiples of each prime up to the square root of the upper bound. Every remaining number of at least 2 is prime. These results are exact within the supported range.

Range limits

The upper bound is 1 billion and the span is at most 1 million. This keeps the calculation small enough for a browser. Use the prime number checker for an individual larger integer, its factorization or a probable-prime test.

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