What is the 3391st prime number?
The 3391st prime number is 31513. The next prime is 31517 (a gap of 4) and the one before is 31511.
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 3391st one is 31513.
- 2
31513 is prime because no prime up to ā31513 ā 177.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3391st prime is close to 3391 Ć ln(3391) ā 27565, and here it is 31513.
- 4
31513 is a twin prime: 31511 and 31513 are both prime.
Primes around the 3391st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3388 | 31481 | 4 |
| 3389 | 31489 | 8 |
| 3390 | 31511 | 22 |
| 3391 | 31513 | 2 |
| 3392 | 31517 | 4 |
| 3393 | 31531 | 14 |
| 3394 | 31541 | 10 |
Questions
What is the 3391st prime number?
31513.
Which prime number is 31513?
31513 is the 3391st prime number.
What is the sum of the first 3391 primes?
50,166,368.