What is the 9322nd prime number?
The 9322nd prime number is 96823. The next prime is 96827 (a gap of 4) and the one before is 96821.
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 9322nd one is 96823.
- 2
96823 is prime because no prime up to ā96823 ā 311.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9322nd prime is close to 9322 Ć ln(9322) ā 85204, and here it is 96823.
- 4
96823 is a twin prime: 96821 and 96823 are both prime.
Primes around the 9322nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9319 | 96797 | 10 |
| 9320 | 96799 | 2 |
| 9321 | 96821 | 22 |
| 9322 | 96823 | 2 |
| 9323 | 96827 | 4 |
| 9324 | 96847 | 20 |
| 9325 | 96851 | 4 |
Questions
What is the 9322nd prime number?
96823.
Which prime number is 96823?
96823 is the 9322nd prime number.
What is the sum of the first 9322 primes?
427,814,387.