What is the 3269th prime number?
The 3269th prime number is 30223. The next prime is 30241 (a gap of 18) and the one before is 30211.
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 3269th one is 30223.
- 2
30223 is prime because no prime up to ā30223 ā 173.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3269th prime is close to 3269 Ć ln(3269) ā 26454, and here it is 30223.
- 4
30223 has no twin: neither 30221 nor 30225 is prime.
Primes around the 3269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3266 | 30197 | 10 |
| 3267 | 30203 | 6 |
| 3268 | 30211 | 8 |
| 3269 | 30223 | 12 |
| 3270 | 30241 | 18 |
| 3271 | 30253 | 12 |
| 3272 | 30259 | 6 |
Questions
What is the 3269th prime number?
30223.
Which prime number is 30223?
30223 is the 3269th prime number.
What is the sum of the first 3269 primes?
46,398,756.