What is the 3384th prime number?
The 3384th prime number is 31393. The next prime is 31397 (a gap of 4) and the one before is 31391.
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 3384th one is 31393.
- 2
31393 is prime because no prime up to ā31393 ā 177.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3384th prime is close to 3384 Ć ln(3384) ā 27501, and here it is 31393.
- 4
31393 is a twin prime: 31391 and 31393 are both prime.
Primes around the 3384th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3381 | 31379 | 22 |
| 3382 | 31387 | 8 |
| 3383 | 31391 | 4 |
| 3384 | 31393 | 2 |
| 3385 | 31397 | 4 |
| 3386 | 31469 | 72 |
| 3387 | 31477 | 8 |
Questions
What is the 3384th prime number?
31393.
Which prime number is 31393?
31393 is the 3384th prime number.
What is the sum of the first 3384 primes?
49,946,031.