What is the 9279th prime number?
The 9279th prime number is 96329. The next prime is 96331 (a gap of 2) and the one before is 96323.
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 9279th one is 96329.
- 2
96329 is prime because no prime up to ā96329 ā 310.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9279th prime is close to 9279 Ć ln(9279) ā 84768, and here it is 96329.
- 4
96329 is a twin prime: 96329 and 96331 are both prime.
Primes around the 9279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9276 | 96289 | 8 |
| 9277 | 96293 | 4 |
| 9278 | 96323 | 30 |
| 9279 | 96329 | 6 |
| 9280 | 96331 | 2 |
| 9281 | 96337 | 6 |
| 9282 | 96353 | 16 |
Questions
What is the 9279th prime number?
96329.
Which prime number is 96329?
96329 is the 9279th prime number.
What is the sum of the first 9279 primes?
423,660,896.