What is the 1354th prime number?
The 1354th prime number is 11173. The next prime is 11177 (a gap of 4) and the one before is 11171.
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 1354th one is 11173.
- 2
11173 is prime because no prime up to ā11173 ā 105.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1354th prime is close to 1354 Ć ln(1354) ā 9763, and here it is 11173.
- 4
11173 is a twin prime: 11171 and 11173 are both prime.
Primes around the 1354th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1351 | 11159 | 10 |
| 1352 | 11161 | 2 |
| 1353 | 11171 | 10 |
| 1354 | 11173 | 2 |
| 1355 | 11177 | 4 |
| 1356 | 11197 | 20 |
| 1357 | 11213 | 16 |
Questions
What is the 1354th prime number?
11173.
Which prime number is 11173?
11173 is the 1354th prime number.
What is the sum of the first 1354 primes?
7,059,475.