What is the 9280th prime number?
The 9280th prime number is 96331. The next prime is 96337 (a gap of 6) and the one before is 96329.
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 9280th one is 96331.
- 2
96331 is prime because no prime up to ā96331 ā 310.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9280th prime is close to 9280 Ć ln(9280) ā 84779, and here it is 96331.
- 4
96331 is a twin prime: 96329 and 96331 are both prime.
Primes around the 9280th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9277 | 96293 | 4 |
| 9278 | 96323 | 30 |
| 9279 | 96329 | 6 |
| 9280 | 96331 | 2 |
| 9281 | 96337 | 6 |
| 9282 | 96353 | 16 |
| 9283 | 96377 | 24 |
Questions
What is the 9280th prime number?
96331.
Which prime number is 96331?
96331 is the 9280th prime number.
What is the sum of the first 9280 primes?
423,757,227.