What is the 3385th prime number?
The 3385th prime number is 31397. The next prime is 31469 (a gap of 72) and the one before is 31393.
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 3385th one is 31397.
- 2
31397 is prime because no prime up to ā31397 ā 177.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3385th prime is close to 3385 Ć ln(3385) ā 27510, and here it is 31397.
- 4
31397 has no twin: neither 31395 nor 31399 is prime.
Primes around the 3385th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3382 | 31387 | 8 |
| 3383 | 31391 | 4 |
| 3384 | 31393 | 2 |
| 3385 | 31397 | 4 |
| 3386 | 31469 | 72 |
| 3387 | 31477 | 8 |
| 3388 | 31481 | 4 |
Questions
What is the 3385th prime number?
31397.
Which prime number is 31397?
31397 is the 3385th prime number.
What is the sum of the first 3385 primes?
49,977,428.