What is the 9324th prime number?
The 9324th prime number is 96847. The next prime is 96851 (a gap of 4) and the one before is 96827.
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 9324th one is 96847.
- 2
96847 is prime because no prime up to ā96847 ā 311.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9324th prime is close to 9324 Ć ln(9324) ā 85225, and here it is 96847.
- 4
96847 has no twin: neither 96845 nor 96849 is prime.
Primes around the 9324th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9321 | 96821 | 22 |
| 9322 | 96823 | 2 |
| 9323 | 96827 | 4 |
| 9324 | 96847 | 20 |
| 9325 | 96851 | 4 |
| 9326 | 96857 | 6 |
| 9327 | 96893 | 36 |
Questions
What is the 9324th prime number?
96847.
Which prime number is 96847?
96847 is the 9324th prime number.
What is the sum of the first 9324 primes?
428,008,061.