What is the 1154th prime number?
The 1154th prime number is 9323. The next prime is 9337 (a gap of 14) and the one before is 9319.
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 1154th one is 9323.
- 2
9323 is prime because no prime up to ā9323 ā 96.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1154th prime is close to 1154 Ć ln(1154) ā 8137, and here it is 9323.
- 4
9323 has no twin: neither 9321 nor 9325 is prime.
Primes around the 1154th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1151 | 9293 | 10 |
| 1152 | 9311 | 18 |
| 1153 | 9319 | 8 |
| 1154 | 9323 | 4 |
| 1155 | 9337 | 14 |
| 1156 | 9341 | 4 |
| 1157 | 9343 | 2 |
Questions
What is the 1154th prime number?
9323.
Which prime number is 9323?
9323 is the 1154th prime number.
What is the sum of the first 1154 primes?
5,012,703.