What is the 9270th prime number?
The 9270th prime number is 96223. The next prime is 96233 (a gap of 10) and the one before is 96221.
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 9270th one is 96223.
- 2
96223 is prime because no prime up to ā96223 ā 310.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9270th prime is close to 9270 Ć ln(9270) ā 84677, and here it is 96223.
- 4
96223 is a twin prime: 96221 and 96223 are both prime.
Primes around the 9270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9267 | 96199 | 18 |
| 9268 | 96211 | 12 |
| 9269 | 96221 | 10 |
| 9270 | 96223 | 2 |
| 9271 | 96233 | 10 |
| 9272 | 96259 | 26 |
| 9273 | 96263 | 4 |
Questions
What is the 9270th prime number?
96223.
Which prime number is 96223?
96223 is the 9270th prime number.
What is the sum of the first 9270 primes?
422,794,357.