What is the 1339th prime number?
The 1339th prime number is 11057. The next prime is 11059 (a gap of 2) and the one before is 11047.
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 1339th one is 11057.
- 2
11057 is prime because no prime up to ā11057 ā 105.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1339th prime is close to 1339 Ć ln(1339) ā 9640, and here it is 11057.
- 4
11057 is a twin prime: 11057 and 11059 are both prime.
Primes around the 1339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1336 | 11003 | 10 |
| 1337 | 11027 | 24 |
| 1338 | 11047 | 20 |
| 1339 | 11057 | 10 |
| 1340 | 11059 | 2 |
| 1341 | 11069 | 10 |
| 1342 | 11071 | 2 |
Questions
What is the 1339th prime number?
11057.
Which prime number is 11057?
11057 is the 1339th prime number.
What is the sum of the first 1339 primes?
6,892,720.