What is the 1352nd prime number?
The 1352nd prime number is 11161. The next prime is 11171 (a gap of 10) and the one before is 11159.
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 1352nd one is 11161.
- 2
11161 is prime because no prime up to ā11161 ā 105.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1352nd prime is close to 1352 Ć ln(1352) ā 9747, and here it is 11161.
- 4
11161 is a twin prime: 11159 and 11161 are both prime.
Primes around the 1352nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1349 | 11131 | 12 |
| 1350 | 11149 | 18 |
| 1351 | 11159 | 10 |
| 1352 | 11161 | 2 |
| 1353 | 11171 | 10 |
| 1354 | 11173 | 2 |
| 1355 | 11177 | 4 |
Questions
What is the 1352nd prime number?
11161.
Which prime number is 11161?
11161 is the 1352nd prime number.
What is the sum of the first 1352 primes?
7,037,131.