What is the 1392nd prime number?
The 1392nd prime number is 11551. The next prime is 11579 (a gap of 28) and the one before is 11549.
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 1392nd one is 11551.
- 2
11551 is prime because no prime up to ā11551 ā 107.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1392nd prime is close to 1392 Ć ln(1392) ā 10076, and here it is 11551.
- 4
11551 is a twin prime: 11549 and 11551 are both prime.
Primes around the 1392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1389 | 11519 | 16 |
| 1390 | 11527 | 8 |
| 1391 | 11549 | 22 |
| 1392 | 11551 | 2 |
| 1393 | 11579 | 28 |
| 1394 | 11587 | 8 |
| 1395 | 11593 | 6 |
Questions
What is the 1392nd prime number?
11551.
Which prime number is 11551?
11551 is the 1392nd prime number.
What is the sum of the first 1392 primes?
7,491,685.