What is the 9330th prime number?
The 9330th prime number is 96931. The next prime is 96953 (a gap of 22) and the one before is 96911.
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 9330th one is 96931.
- 2
96931 is prime because no prime up to ā96931 ā 311.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9330th prime is close to 9330 Ć ln(9330) ā 85285, and here it is 96931.
- 4
96931 has no twin: neither 96929 nor 96933 is prime.
Primes around the 9330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9327 | 96893 | 36 |
| 9328 | 96907 | 14 |
| 9329 | 96911 | 4 |
| 9330 | 96931 | 20 |
| 9331 | 96953 | 22 |
| 9332 | 96959 | 6 |
| 9333 | 96973 | 14 |
Questions
What is the 9330th prime number?
96931.
Which prime number is 96931?
96931 is the 9330th prime number.
What is the sum of the first 9330 primes?
428,589,411.