What is the 1147th prime number?
The 1147th prime number is 9257. The next prime is 9277 (a gap of 20) and the one before is 9241.
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 1147th one is 9257.
- 2
9257 is prime because no prime up to ā9257 ā 96.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1147th prime is close to 1147 Ć ln(1147) ā 8081, and here it is 9257.
- 4
9257 has no twin: neither 9255 nor 9259 is prime.
Primes around the 1147th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1144 | 9227 | 6 |
| 1145 | 9239 | 12 |
| 1146 | 9241 | 2 |
| 1147 | 9257 | 16 |
| 1148 | 9277 | 20 |
| 1149 | 9281 | 4 |
| 1150 | 9283 | 2 |
Questions
What is the 1147th prime number?
9257.
Which prime number is 9257?
9257 is the 1147th prime number.
What is the sum of the first 1147 primes?
4,947,616.