What is the 9321st prime number?
The 9321st prime number is 96821. The next prime is 96823 (a gap of 2) and the one before is 96799.
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 9321st one is 96821.
- 2
96821 is prime because no prime up to ā96821 ā 311.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9321st prime is close to 9321 Ć ln(9321) ā 85194, and here it is 96821.
- 4
96821 is a twin prime: 96821 and 96823 are both prime.
Primes around the 9321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9318 | 96787 | 8 |
| 9319 | 96797 | 10 |
| 9320 | 96799 | 2 |
| 9321 | 96821 | 22 |
| 9322 | 96823 | 2 |
| 9323 | 96827 | 4 |
| 9324 | 96847 | 20 |
Questions
What is the 9321st prime number?
96821.
Which prime number is 96821?
96821 is the 9321st prime number.
What is the sum of the first 9321 primes?
427,717,564.