What is the 326th prime number?
The 326th prime number is 2161. The next prime is 2179 (a gap of 18) and the one before is 2153.
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 326th one is 2161.
- 2
2161 is prime because no prime up to ā2161 ā 46.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 326th prime is close to 326 Ć ln(326) ā 1887, and here it is 2161.
- 4
2161 has no twin: neither 2159 nor 2163 is prime.
Primes around the 326th
| Position | Prime | Gap from the previous |
|---|---|---|
| 323 | 2141 | 4 |
| 324 | 2143 | 2 |
| 325 | 2153 | 10 |
| 326 | 2161 | 8 |
| 327 | 2179 | 18 |
| 328 | 2203 | 24 |
| 329 | 2207 | 4 |
Questions
What is the 326th prime number?
2161.
Which prime number is 2161?
2161 is the 326th prime number.
What is the sum of the first 326 primes?
325,019.