What is the 9323rd prime number?
The 9323rd prime number is 96827. The next prime is 96847 (a gap of 20) and the one before is 96823.
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 9323rd one is 96827.
- 2
96827 is prime because no prime up to ā96827 ā 311.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9323rd prime is close to 9323 Ć ln(9323) ā 85214, and here it is 96827.
- 4
96827 has no twin: neither 96825 nor 96829 is prime.
Primes around the 9323rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9320 | 96799 | 2 |
| 9321 | 96821 | 22 |
| 9322 | 96823 | 2 |
| 9323 | 96827 | 4 |
| 9324 | 96847 | 20 |
| 9325 | 96851 | 4 |
| 9326 | 96857 | 6 |
Questions
What is the 9323rd prime number?
96827.
Which prime number is 96827?
96827 is the 9323rd prime number.
What is the sum of the first 9323 primes?
427,911,214.