What is the 3380th prime number?
The 3380th prime number is 31357. The next prime is 31379 (a gap of 22) and the one before is 31337.
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 3380th one is 31357.
- 2
31357 is prime because no prime up to ā31357 ā 177.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3380th prime is close to 3380 Ć ln(3380) ā 27465, and here it is 31357.
- 4
31357 has no twin: neither 31355 nor 31359 is prime.
Primes around the 3380th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3377 | 31327 | 6 |
| 3378 | 31333 | 6 |
| 3379 | 31337 | 4 |
| 3380 | 31357 | 20 |
| 3381 | 31379 | 22 |
| 3382 | 31387 | 8 |
| 3383 | 31391 | 4 |
Questions
What is the 3380th prime number?
31357.
Which prime number is 31357?
31357 is the 3380th prime number.
What is the sum of the first 3380 primes?
49,820,481.