What is the 3390th prime number?
The 3390th prime number is 31511. The next prime is 31513 (a gap of 2) and the one before is 31489.
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 3390th one is 31511.
- 2
31511 is prime because no prime up to ā31511 ā 177.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3390th prime is close to 3390 Ć ln(3390) ā 27556, and here it is 31511.
- 4
31511 is a twin prime: 31511 and 31513 are both prime.
Primes around the 3390th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3387 | 31477 | 8 |
| 3388 | 31481 | 4 |
| 3389 | 31489 | 8 |
| 3390 | 31511 | 22 |
| 3391 | 31513 | 2 |
| 3392 | 31517 | 4 |
| 3393 | 31531 | 14 |
Questions
What is the 3390th prime number?
31511.
Which prime number is 31511?
31511 is the 3390th prime number.
What is the sum of the first 3390 primes?
50,134,855.