What is the 327th prime number?
The 327th prime number is 2179. The next prime is 2203 (a gap of 24) and the one before is 2161.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 327th one is 2179.
- 2
2179 is prime because no prime up to ā2179 ā 46.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 327th prime is close to 327 Ć ln(327) ā 1893, and here it is 2179.
- 4
2179 has no twin: neither 2177 nor 2181 is prime.
Primes around the 327th
| Position | Prime | Gap from the previous |
|---|---|---|
| 324 | 2143 | 2 |
| 325 | 2153 | 10 |
| 326 | 2161 | 8 |
| 327 | 2179 | 18 |
| 328 | 2203 | 24 |
| 329 | 2207 | 4 |
| 330 | 2213 | 6 |
Questions
What is the 327th prime number?
2179.
Which prime number is 2179?
2179 is the 327th prime number.
What is the sum of the first 327 primes?
327,198.