What is the 3267th prime number?
The 3267th prime number is 30203. The next prime is 30211 (a gap of 8) and the one before is 30197.
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 3267th one is 30203.
- 2
30203 is prime because no prime up to ā30203 ā 173.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3267th prime is close to 3267 Ć ln(3267) ā 26435, and here it is 30203.
- 4
30203 has no twin: neither 30201 nor 30205 is prime.
Primes around the 3267th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3264 | 30181 | 12 |
| 3265 | 30187 | 6 |
| 3266 | 30197 | 10 |
| 3267 | 30203 | 6 |
| 3268 | 30211 | 8 |
| 3269 | 30223 | 12 |
| 3270 | 30241 | 18 |
Questions
What is the 3267th prime number?
30203.
Which prime number is 30203?
30203 is the 3267th prime number.
What is the sum of the first 3267 primes?
46,338,322.