Prime Number Checker
One entry per line - check primality, list primes in a range, or find the Nth prime
Mode:
Max results:
Separator:
Calculation Result
Download CSV
| No. | Value | Result | Detail |
|---|
Introduction to the tool and how to use it
Test primality, generate prime lists and look up the Nth prime - three common jobs in one box, one entry per line.
How to use:
1. Pick a mode:
- Check: one integer per line, e.g.
- List: one range per line, e.g.
- Nth prime: one index per line, e.g.
2. Hit Run to get the verdict, the number of primes or the Nth prime;
3. Copy the result or export it as CSV.
Composites come with their smallest prime factor (360 = 2 x 180) while primes are marked as yes. Big integers are tested with BigInt plus Miller-Rabin (deterministic below 2^64), and ranges use a sieve of Eratosthenes that answers instantly below 5,000,000.
How to use:
1. Pick a mode:
- Check: one integer per line, e.g.
97;- List: one range per line, e.g.
100,200;- Nth prime: one index per line, e.g.
1000;2. Hit Run to get the verdict, the number of primes or the Nth prime;
3. Copy the result or export it as CSV.
Composites come with their smallest prime factor (360 = 2 x 180) while primes are marked as yes. Big integers are tested with BigInt plus Miller-Rabin (deterministic below 2^64), and ranges use a sieve of Eratosthenes that answers instantly below 5,000,000.
Prime test
Primes between 1000 and 1100
Between 1000 and 1100 there are 16 primes, from 1009 up to 1097.
- Range1000 ~ 1100
- Divisors16
- Smallest prime in range1009
- Largest prime in range1097
Primes in range
| # | Prime |
|---|---|
| 1 | 1009 |
| 2 | 1013 |
| 3 | 1019 |
| 4 | 1021 |
| 5 | 1031 |
| 6 | 1033 |
| 7 | 1039 |
| 8 | 1049 |
| 9 | 1051 |
| 10 | 1061 |
| 11 | 1063 |
| 12 | 1069 |
| 13 | 1087 |
| 14 | 1091 |
| 15 | 1093 |
| 16 | 1097 |
- Large numbers are decided with Miller-Rabin (12 bases), which is deterministic below 2^64.
Common inputs
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