Generate Prime Numbers

Prime numbers are the atoms of arithmetic: natural numbers greater than 1 whose only divisors are 1 and themselves. 2, 3, 5, 7, 11, 13, ... They cannot be split into smaller integer factors, and every number above 1 is either prime or built from primes. Cryptography, hash tables and the whole of number theory stand on them.

Generate Prime Numbers produces verified primes across any range you choose - from a starting value up to a limit, capped at 1000 primes per run. Every value passes a primality check before it appears; nothing is guessed. The cleanest stream of primes for study, data and puzzles.

• Verified primes: Every value is primality-tested before output.
• Any range: Start anywhere, end at any limit.
• Up to 1000 primes: Around the first 7919 primes in one run.
• 2 handled right: The only even prime appears exactly once.
• Fast trial division: Candidates checked efficiently, skipping evens.
• Copy or download: Export one per line.

1. Choose a start - any integer; primes at or above it are kept.
2. Choose a limit - the largest value considered.
3. Generate - verified primes stream out.
4. Copy or download - the prime list one per line.

1. Start 2, limit 100: 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 - 25 primes.

2. Start 2, limit 1000: all 168 primes below 1000.

3. Start 100, limit 200: 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199.

4. Start 7919: the 1000th prime appears exactly once at the head.

5. Start 2, limit 10000: 1229 verified primes in a single run.

• Guaranteed true: No composites ever appear - every value is checked.
• Range flexible: Slices of the primes anywhere you need them.
• Bulk output: Thousands of primes in one run.
• Study-ready: Clean one-per-line lists for lessons and data.
• Cryptography context: The same primes that power RSA, listed plainly.
• Private and free: Generation happens in-browser; nothing is uploaded or logged.