What is the 3389th prime number?
The 3389th prime number is 31489. The next prime is 31511 (a gap of 22) and the one before is 31481.
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 3389th one is 31489.
- 2
31489 is prime because no prime up to ā31489 ā 177.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3389th prime is close to 3389 Ć ln(3389) ā 27547, and here it is 31489.
- 4
31489 has no twin: neither 31487 nor 31491 is prime.
Primes around the 3389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3386 | 31469 | 72 |
| 3387 | 31477 | 8 |
| 3388 | 31481 | 4 |
| 3389 | 31489 | 8 |
| 3390 | 31511 | 22 |
| 3391 | 31513 | 2 |
| 3392 | 31517 | 4 |
Questions
What is the 3389th prime number?
31489.
Which prime number is 31489?
31489 is the 3389th prime number.
What is the sum of the first 3389 primes?
50,103,344.