What is the 1338th prime number?
The 1338th prime number is 11047. The next prime is 11057 (a gap of 10) and the one before is 11027.
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 1338th one is 11047.
- 2
11047 is prime because no prime up to ā11047 ā 105.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1338th prime is close to 1338 Ć ln(1338) ā 9632, and here it is 11047.
- 4
11047 has no twin: neither 11045 nor 11049 is prime.
Primes around the 1338th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1335 | 10993 | 6 |
| 1336 | 11003 | 10 |
| 1337 | 11027 | 24 |
| 1338 | 11047 | 20 |
| 1339 | 11057 | 10 |
| 1340 | 11059 | 2 |
| 1341 | 11069 | 10 |
Questions
What is the 1338th prime number?
11047.
Which prime number is 11047?
11047 is the 1338th prime number.
What is the sum of the first 1338 primes?
6,881,663.