What is the 3381st prime number?
The 3381st prime number is 31379. The next prime is 31387 (a gap of 8) and the one before is 31357.
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 3381st one is 31379.
- 2
31379 is prime because no prime up to ā31379 ā 177.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3381st prime is close to 3381 Ć ln(3381) ā 27474, and here it is 31379.
- 4
31379 has no twin: neither 31377 nor 31381 is prime.
Primes around the 3381st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3378 | 31333 | 6 |
| 3379 | 31337 | 4 |
| 3380 | 31357 | 20 |
| 3381 | 31379 | 22 |
| 3382 | 31387 | 8 |
| 3383 | 31391 | 4 |
| 3384 | 31393 | 2 |
Questions
What is the 3381st prime number?
31379.
Which prime number is 31379?
31379 is the 3381st prime number.
What is the sum of the first 3381 primes?
49,851,860.