What is the 1151st prime number?
The 1151st prime number is 9293. The next prime is 9311 (a gap of 18) and the one before is 9283.
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 1151st one is 9293.
- 2
9293 is prime because no prime up to ā9293 ā 96.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1151st prime is close to 1151 Ć ln(1151) ā 8113, and here it is 9293.
- 4
9293 has no twin: neither 9291 nor 9295 is prime.
Primes around the 1151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1148 | 9277 | 20 |
| 1149 | 9281 | 4 |
| 1150 | 9283 | 2 |
| 1151 | 9293 | 10 |
| 1152 | 9311 | 18 |
| 1153 | 9319 | 8 |
| 1154 | 9323 | 4 |
Questions
What is the 1151st prime number?
9293.
Which prime number is 9293?
9293 is the 1151st prime number.
What is the sum of the first 1151 primes?
4,984,750.