What is the 329th prime number?
The 329th prime number is 2207. The next prime is 2213 (a gap of 6) and the one before is 2203.
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 329th one is 2207.
- 2
2207 is prime because no prime up to ā2207 ā 46.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 329th prime is close to 329 Ć ln(329) ā 1907, and here it is 2207.
- 4
2207 has no twin: neither 2205 nor 2209 is prime.
Primes around the 329th
| Position | Prime | Gap from the previous |
|---|---|---|
| 326 | 2161 | 8 |
| 327 | 2179 | 18 |
| 328 | 2203 | 24 |
| 329 | 2207 | 4 |
| 330 | 2213 | 6 |
| 331 | 2221 | 8 |
| 332 | 2237 | 16 |
Questions
What is the 329th prime number?
2207.
Which prime number is 2207?
2207 is the 329th prime number.
What is the sum of the first 329 primes?
331,608.