What is the 1353rd prime number?
The 1353rd prime number is 11171. The next prime is 11173 (a gap of 2) and the one before is 11161.
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 1353rd one is 11171.
- 2
11171 is prime because no prime up to ā11171 ā 105.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1353rd prime is close to 1353 Ć ln(1353) ā 9755, and here it is 11171.
- 4
11171 is a twin prime: 11171 and 11173 are both prime.
Primes around the 1353rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1350 | 11149 | 18 |
| 1351 | 11159 | 10 |
| 1352 | 11161 | 2 |
| 1353 | 11171 | 10 |
| 1354 | 11173 | 2 |
| 1355 | 11177 | 4 |
| 1356 | 11197 | 20 |
Questions
What is the 1353rd prime number?
11171.
Which prime number is 11171?
11171 is the 1353rd prime number.
What is the sum of the first 1353 primes?
7,048,302.