What is the 3268th prime number?
The 3268th prime number is 30211. The next prime is 30223 (a gap of 12) and the one before is 30203.
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 3268th one is 30211.
- 2
30211 is prime because no prime up to ā30211 ā 173.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3268th prime is close to 3268 Ć ln(3268) ā 26444, and here it is 30211.
- 4
30211 has no twin: neither 30209 nor 30213 is prime.
Primes around the 3268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3265 | 30187 | 6 |
| 3266 | 30197 | 10 |
| 3267 | 30203 | 6 |
| 3268 | 30211 | 8 |
| 3269 | 30223 | 12 |
| 3270 | 30241 | 18 |
| 3271 | 30253 | 12 |
Questions
What is the 3268th prime number?
30211.
Which prime number is 30211?
30211 is the 3268th prime number.
What is the sum of the first 3268 primes?
46,368,533.