What is the 1358th prime number?
The 1358th prime number is 11239. The next prime is 11243 (a gap of 4) and the one before is 11213.
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 1358th one is 11239.
- 2
11239 is prime because no prime up to ā11239 ā 106.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1358th prime is close to 1358 Ć ln(1358) ā 9796, and here it is 11239.
- 4
11239 has no twin: neither 11237 nor 11241 is prime.
Primes around the 1358th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1355 | 11177 | 4 |
| 1356 | 11197 | 20 |
| 1357 | 11213 | 16 |
| 1358 | 11239 | 26 |
| 1359 | 11243 | 4 |
| 1360 | 11251 | 8 |
| 1361 | 11257 | 6 |
Questions
What is the 1358th prime number?
11239.
Which prime number is 11239?
11239 is the 1358th prime number.
What is the sum of the first 1358 primes?
7,104,301.