What is the 1391st prime number?
The 1391st prime number is 11549. The next prime is 11551 (a gap of 2) and the one before is 11527.
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 1391st one is 11549.
- 2
11549 is prime because no prime up to ā11549 ā 107.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1391st prime is close to 1391 Ć ln(1391) ā 10068, and here it is 11549.
- 4
11549 is a twin prime: 11549 and 11551 are both prime.
Primes around the 1391st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1388 | 11503 | 6 |
| 1389 | 11519 | 16 |
| 1390 | 11527 | 8 |
| 1391 | 11549 | 22 |
| 1392 | 11551 | 2 |
| 1393 | 11579 | 28 |
| 1394 | 11587 | 8 |
Questions
What is the 1391st prime number?
11549.
Which prime number is 11549?
11549 is the 1391st prime number.
What is the sum of the first 1391 primes?
7,480,134.