What is the 3383rd prime number?
The 3383rd prime number is 31391. The next prime is 31393 (a gap of 2) and the one before is 31387.
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 3383rd one is 31391.
- 2
31391 is prime because no prime up to ā31391 ā 177.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3383rd prime is close to 3383 Ć ln(3383) ā 27492, and here it is 31391.
- 4
31391 is a twin prime: 31391 and 31393 are both prime.
Primes around the 3383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3380 | 31357 | 20 |
| 3381 | 31379 | 22 |
| 3382 | 31387 | 8 |
| 3383 | 31391 | 4 |
| 3384 | 31393 | 2 |
| 3385 | 31397 | 4 |
| 3386 | 31469 | 72 |
Questions
What is the 3383rd prime number?
31391.
Which prime number is 31391?
31391 is the 3383rd prime number.
What is the sum of the first 3383 primes?
49,914,638.