What is the 1355th prime number?
The 1355th prime number is 11177. The next prime is 11197 (a gap of 20) and the one before is 11173.
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 1355th one is 11177.
- 2
11177 is prime because no prime up to ā11177 ā 105.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1355th prime is close to 1355 Ć ln(1355) ā 9772, and here it is 11177.
- 4
11177 has no twin: neither 11175 nor 11179 is prime.
Primes around the 1355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1352 | 11161 | 2 |
| 1353 | 11171 | 10 |
| 1354 | 11173 | 2 |
| 1355 | 11177 | 4 |
| 1356 | 11197 | 20 |
| 1357 | 11213 | 16 |
| 1358 | 11239 | 26 |
Questions
What is the 1355th prime number?
11177.
Which prime number is 11177?
11177 is the 1355th prime number.
What is the sum of the first 1355 primes?
7,070,652.