What is the 9329th prime number?
The 9329th prime number is 96911. The next prime is 96931 (a gap of 20) and the one before is 96907.
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 9329th one is 96911.
- 2
96911 is prime because no prime up to ā96911 ā 311.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9329th prime is close to 9329 Ć ln(9329) ā 85275, and here it is 96911.
- 4
96911 has no twin: neither 96909 nor 96913 is prime.
Primes around the 9329th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9326 | 96857 | 6 |
| 9327 | 96893 | 36 |
| 9328 | 96907 | 14 |
| 9329 | 96911 | 4 |
| 9330 | 96931 | 20 |
| 9331 | 96953 | 22 |
| 9332 | 96959 | 6 |
Questions
What is the 9329th prime number?
96911.
Which prime number is 96911?
96911 is the 9329th prime number.
What is the sum of the first 9329 primes?
428,492,480.