What is the 1149th prime number?
The 1149th prime number is 9281. The next prime is 9283 (a gap of 2) and the one before is 9277.
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 1149th one is 9281.
- 2
9281 is prime because no prime up to ā9281 ā 96.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1149th prime is close to 1149 Ć ln(1149) ā 8097, and here it is 9281.
- 4
9281 is a twin prime: 9281 and 9283 are both prime.
Primes around the 1149th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1146 | 9241 | 2 |
| 1147 | 9257 | 16 |
| 1148 | 9277 | 20 |
| 1149 | 9281 | 4 |
| 1150 | 9283 | 2 |
| 1151 | 9293 | 10 |
| 1152 | 9311 | 18 |
Questions
What is the 1149th prime number?
9281.
Which prime number is 9281?
9281 is the 1149th prime number.
What is the sum of the first 1149 primes?
4,966,174.