What is the 3270th prime number?
The 3270th prime number is 30241. The next prime is 30253 (a gap of 12) and the one before is 30223.
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 3270th one is 30241.
- 2
30241 is prime because no prime up to ā30241 ā 173.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3270th prime is close to 3270 Ć ln(3270) ā 26463, and here it is 30241.
- 4
30241 has no twin: neither 30239 nor 30243 is prime.
Primes around the 3270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3267 | 30203 | 6 |
| 3268 | 30211 | 8 |
| 3269 | 30223 | 12 |
| 3270 | 30241 | 18 |
| 3271 | 30253 | 12 |
| 3272 | 30259 | 6 |
| 3273 | 30269 | 10 |
Questions
What is the 3270th prime number?
30241.
Which prime number is 30241?
30241 is the 3270th prime number.
What is the sum of the first 3270 primes?
46,428,997.