What is the 1145th prime number?
The 1145th prime number is 9239. The next prime is 9241 (a gap of 2) and the one before is 9227.
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 1145th one is 9239.
- 2
9239 is prime because no prime up to ā9239 ā 96.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1145th prime is close to 1145 Ć ln(1145) ā 8064, and here it is 9239.
- 4
9239 is a twin prime: 9239 and 9241 are both prime.
Primes around the 1145th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1142 | 9209 | 6 |
| 1143 | 9221 | 12 |
| 1144 | 9227 | 6 |
| 1145 | 9239 | 12 |
| 1146 | 9241 | 2 |
| 1147 | 9257 | 16 |
| 1148 | 9277 | 20 |
Questions
What is the 1145th prime number?
9239.
Which prime number is 9239?
9239 is the 1145th prime number.
What is the sum of the first 1145 primes?
4,929,118.