What is the 1153rd prime number?
The 1153rd prime number is 9319. The next prime is 9323 (a gap of 4) and the one before is 9311.
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 1153rd one is 9319.
- 2
9319 is prime because no prime up to ā9319 ā 96.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1153rd prime is close to 1153 Ć ln(1153) ā 8129, and here it is 9319.
- 4
9319 has no twin: neither 9317 nor 9321 is prime.
Primes around the 1153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1150 | 9283 | 2 |
| 1151 | 9293 | 10 |
| 1152 | 9311 | 18 |
| 1153 | 9319 | 8 |
| 1154 | 9323 | 4 |
| 1155 | 9337 | 14 |
| 1156 | 9341 | 4 |
Questions
What is the 1153rd prime number?
9319.
Which prime number is 9319?
9319 is the 1153rd prime number.
What is the sum of the first 1153 primes?
5,003,380.