What is the 1146th prime number?
The 1146th prime number is 9241. The next prime is 9257 (a gap of 16) and the one before is 9239.
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 1146th one is 9241.
- 2
9241 is prime because no prime up to ā9241 ā 96.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1146th prime is close to 1146 Ć ln(1146) ā 8072, and here it is 9241.
- 4
9241 is a twin prime: 9239 and 9241 are both prime.
Primes around the 1146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1143 | 9221 | 12 |
| 1144 | 9227 | 6 |
| 1145 | 9239 | 12 |
| 1146 | 9241 | 2 |
| 1147 | 9257 | 16 |
| 1148 | 9277 | 20 |
| 1149 | 9281 | 4 |
Questions
What is the 1146th prime number?
9241.
Which prime number is 9241?
9241 is the 1146th prime number.
What is the sum of the first 1146 primes?
4,938,359.