What is the 1356th prime number?
The 1356th prime number is 11197. The next prime is 11213 (a gap of 16) and the one before is 11177.
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 1356th one is 11197.
- 2
11197 is prime because no prime up to ā11197 ā 105.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1356th prime is close to 1356 Ć ln(1356) ā 9780, and here it is 11197.
- 4
11197 has no twin: neither 11195 nor 11199 is prime.
Primes around the 1356th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1353 | 11171 | 10 |
| 1354 | 11173 | 2 |
| 1355 | 11177 | 4 |
| 1356 | 11197 | 20 |
| 1357 | 11213 | 16 |
| 1358 | 11239 | 26 |
| 1359 | 11243 | 4 |
Questions
What is the 1356th prime number?
11197.
Which prime number is 11197?
11197 is the 1356th prime number.
What is the sum of the first 1356 primes?
7,081,849.