What is the 1152nd prime number?
The 1152nd prime number is 9311. The next prime is 9319 (a gap of 8) and the one before is 9293.
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 1152nd one is 9311.
- 2
9311 is prime because no prime up to ā9311 ā 96.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1152nd prime is close to 1152 Ć ln(1152) ā 8121, and here it is 9311.
- 4
9311 has no twin: neither 9309 nor 9313 is prime.
Primes around the 1152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1149 | 9281 | 4 |
| 1150 | 9283 | 2 |
| 1151 | 9293 | 10 |
| 1152 | 9311 | 18 |
| 1153 | 9319 | 8 |
| 1154 | 9323 | 4 |
| 1155 | 9337 | 14 |
Questions
What is the 1152nd prime number?
9311.
Which prime number is 9311?
9311 is the 1152nd prime number.
What is the sum of the first 1152 primes?
4,994,061.