What is the 9319th prime number?
The 9319th prime number is 96797. The next prime is 96799 (a gap of 2) and the one before is 96787.
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 9319th one is 96797.
- 2
96797 is prime because no prime up to ā96797 ā 311.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9319th prime is close to 9319 Ć ln(9319) ā 85174, and here it is 96797.
- 4
96797 is a twin prime: 96797 and 96799 are both prime.
Primes around the 9319th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9316 | 96769 | 6 |
| 9317 | 96779 | 10 |
| 9318 | 96787 | 8 |
| 9319 | 96797 | 10 |
| 9320 | 96799 | 2 |
| 9321 | 96821 | 22 |
| 9322 | 96823 | 2 |
Questions
What is the 9319th prime number?
96797.
Which prime number is 96797?
96797 is the 9319th prime number.
What is the sum of the first 9319 primes?
427,523,944.