What is the 3266th prime number?
The 3266th prime number is 30197. The next prime is 30203 (a gap of 6) and the one before is 30187.
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 3266th one is 30197.
- 2
30197 is prime because no prime up to ā30197 ā 173.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3266th prime is close to 3266 Ć ln(3266) ā 26426, and here it is 30197.
- 4
30197 has no twin: neither 30195 nor 30199 is prime.
Primes around the 3266th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3263 | 30169 | 8 |
| 3264 | 30181 | 12 |
| 3265 | 30187 | 6 |
| 3266 | 30197 | 10 |
| 3267 | 30203 | 6 |
| 3268 | 30211 | 8 |
| 3269 | 30223 | 12 |
Questions
What is the 3266th prime number?
30197.
Which prime number is 30197?
30197 is the 3266th prime number.
What is the sum of the first 3266 primes?
46,308,119.