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 2 and 100
Between 2 and 100 there are 25 primes, from 2 up to 97.
- Range2 ~ 100
- Divisors25
- Smallest prime in range2
- Largest prime in range97
Primes in range
| # | Prime |
|---|---|
| 1 | 2 |
| 2 | 3 |
| 3 | 5 |
| 4 | 7 |
| 5 | 11 |
| 6 | 13 |
| 7 | 17 |
| 8 | 19 |
| 9 | 23 |
| 10 | 29 |
| 11 | 31 |
| 12 | 37 |
| 13 | 41 |
| 14 | 43 |
| 15 | 47 |
| 16 | 53 |
| 17 | 59 |
| 18 | 61 |
| 19 | 67 |
| 20 | 71 |
| 21 | 73 |
| 22 | 79 |
| 23 | 83 |
| 24 | 89 |
| 25 | 97 |
- Large numbers are decided with Miller-Rabin (12 bases), which is deterministic below 2^64.
Common inputs
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