What is the 9269th prime number?
The 9269th prime number is 96221. The next prime is 96223 (a gap of 2) and the one before is 96211.
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 9269th one is 96221.
- 2
96221 is prime because no prime up to ā96221 ā 310.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9269th prime is close to 9269 Ć ln(9269) ā 84667, and here it is 96221.
- 4
96221 is a twin prime: 96221 and 96223 are both prime.
Primes around the 9269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9266 | 96181 | 2 |
| 9267 | 96199 | 18 |
| 9268 | 96211 | 12 |
| 9269 | 96221 | 10 |
| 9270 | 96223 | 2 |
| 9271 | 96233 | 10 |
| 9272 | 96259 | 26 |
Questions
What is the 9269th prime number?
96221.
Which prime number is 96221?
96221 is the 9269th prime number.
What is the sum of the first 9269 primes?
422,698,134.