What is the 1357th prime number?
The 1357th prime number is 11213. The next prime is 11239 (a gap of 26) and the one before is 11197.
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 1357th one is 11213.
- 2
11213 is prime because no prime up to ā11213 ā 105.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1357th prime is close to 1357 Ć ln(1357) ā 9788, and here it is 11213.
- 4
11213 has no twin: neither 11211 nor 11215 is prime.
Primes around the 1357th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1354 | 11173 | 2 |
| 1355 | 11177 | 4 |
| 1356 | 11197 | 20 |
| 1357 | 11213 | 16 |
| 1358 | 11239 | 26 |
| 1359 | 11243 | 4 |
| 1360 | 11251 | 8 |
Questions
What is the 1357th prime number?
11213.
Which prime number is 11213?
11213 is the 1357th prime number.
What is the sum of the first 1357 primes?
7,093,062.