What is the 3274th prime number?
The 3274th prime number is 30271. The next prime is 30293 (a gap of 22) and the one before is 30269.
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 3274th one is 30271.
- 2
30271 is prime because no prime up to ā30271 ā 173.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3274th prime is close to 3274 Ć ln(3274) ā 26499, and here it is 30271.
- 4
30271 is a twin prime: 30269 and 30271 are both prime.
Primes around the 3274th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3271 | 30253 | 12 |
| 3272 | 30259 | 6 |
| 3273 | 30269 | 10 |
| 3274 | 30271 | 2 |
| 3275 | 30293 | 22 |
| 3276 | 30307 | 14 |
| 3277 | 30313 | 6 |
Questions
What is the 3274th prime number?
30271.
Which prime number is 30271?
30271 is the 3274th prime number.
What is the sum of the first 3274 primes?
46,550,049.