What is the 328th prime number?
The 328th prime number is 2203. The next prime is 2207 (a gap of 4) and the one before is 2179.
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 328th one is 2203.
- 2
2203 is prime because no prime up to ā2203 ā 46.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 328th prime is close to 328 Ć ln(328) ā 1900, and here it is 2203.
- 4
2203 has no twin: neither 2201 nor 2205 is prime.
Primes around the 328th
| Position | Prime | Gap from the previous |
|---|---|---|
| 325 | 2153 | 10 |
| 326 | 2161 | 8 |
| 327 | 2179 | 18 |
| 328 | 2203 | 24 |
| 329 | 2207 | 4 |
| 330 | 2213 | 6 |
| 331 | 2221 | 8 |
Questions
What is the 328th prime number?
2203.
Which prime number is 2203?
2203 is the 328th prime number.
What is the sum of the first 328 primes?
329,401.