What is the 9328th prime number?
The 9328th prime number is 96907. The next prime is 96911 (a gap of 4) and the one before is 96893.
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 9328th one is 96907.
- 2
96907 is prime because no prime up to ā96907 ā 311.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9328th prime is close to 9328 Ć ln(9328) ā 85265, and here it is 96907.
- 4
96907 has no twin: neither 96905 nor 96909 is prime.
Primes around the 9328th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9325 | 96851 | 4 |
| 9326 | 96857 | 6 |
| 9327 | 96893 | 36 |
| 9328 | 96907 | 14 |
| 9329 | 96911 | 4 |
| 9330 | 96931 | 20 |
| 9331 | 96953 | 22 |
Questions
What is the 9328th prime number?
96907.
Which prime number is 96907?
96907 is the 9328th prime number.
What is the sum of the first 9328 primes?
428,395,569.