What is the 1150th prime number?
The 1150th prime number is 9283. The next prime is 9293 (a gap of 10) and the one before is 9281.
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 1150th one is 9283.
- 2
9283 is prime because no prime up to ā9283 ā 96.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1150th prime is close to 1150 Ć ln(1150) ā 8105, and here it is 9283.
- 4
9283 is a twin prime: 9281 and 9283 are both prime.
Primes around the 1150th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1147 | 9257 | 16 |
| 1148 | 9277 | 20 |
| 1149 | 9281 | 4 |
| 1150 | 9283 | 2 |
| 1151 | 9293 | 10 |
| 1152 | 9311 | 18 |
| 1153 | 9319 | 8 |
Questions
What is the 1150th prime number?
9283.
Which prime number is 9283?
9283 is the 1150th prime number.
What is the sum of the first 1150 primes?
4,975,457.