What is the 330th prime number?
The 330th prime number is 2213. The next prime is 2221 (a gap of 8) and the one before is 2207.
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 330th one is 2213.
- 2
2213 is prime because no prime up to ā2213 ā 47.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 330th prime is close to 330 Ć ln(330) ā 1914, and here it is 2213.
- 4
2213 has no twin: neither 2211 nor 2215 is prime.
Primes around the 330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 327 | 2179 | 18 |
| 328 | 2203 | 24 |
| 329 | 2207 | 4 |
| 330 | 2213 | 6 |
| 331 | 2221 | 8 |
| 332 | 2237 | 16 |
| 333 | 2239 | 2 |
Questions
What is the 330th prime number?
2213.
Which prime number is 2213?
2213 is the 330th prime number.
What is the sum of the first 330 primes?
333,821.