What is the 1144th prime number?
The 1144th prime number is 9227. The next prime is 9239 (a gap of 12) and the one before is 9221.
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 1144th one is 9227.
- 2
9227 is prime because no prime up to ā9227 ā 96.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1144th prime is close to 1144 Ć ln(1144) ā 8056, and here it is 9227.
- 4
9227 has no twin: neither 9225 nor 9229 is prime.
Primes around the 1144th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1141 | 9203 | 4 |
| 1142 | 9209 | 6 |
| 1143 | 9221 | 12 |
| 1144 | 9227 | 6 |
| 1145 | 9239 | 12 |
| 1146 | 9241 | 2 |
| 1147 | 9257 | 16 |
Questions
What is the 1144th prime number?
9227.
Which prime number is 9227?
9227 is the 1144th prime number.
What is the sum of the first 1144 primes?
4,919,879.