What is the 9327th prime number?
The 9327th prime number is 96893. The next prime is 96907 (a gap of 14) and the one before is 96857.
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 9327th one is 96893.
- 2
96893 is prime because no prime up to ā96893 ā 311.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9327th prime is close to 9327 Ć ln(9327) ā 85255, and here it is 96893.
- 4
96893 has no twin: neither 96891 nor 96895 is prime.
Primes around the 9327th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9324 | 96847 | 20 |
| 9325 | 96851 | 4 |
| 9326 | 96857 | 6 |
| 9327 | 96893 | 36 |
| 9328 | 96907 | 14 |
| 9329 | 96911 | 4 |
| 9330 | 96931 | 20 |
Questions
What is the 9327th prime number?
96893.
Which prime number is 96893?
96893 is the 9327th prime number.
What is the sum of the first 9327 primes?
428,298,662.