What is the 1143rd prime number?
The 1143rd prime number is 9221. The next prime is 9227 (a gap of 6) and the one before is 9209.
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 1143rd one is 9221.
- 2
9221 is prime because no prime up to ā9221 ā 96.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1143rd prime is close to 1143 Ć ln(1143) ā 8048, and here it is 9221.
- 4
9221 has no twin: neither 9219 nor 9223 is prime.
Primes around the 1143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1140 | 9199 | 12 |
| 1141 | 9203 | 4 |
| 1142 | 9209 | 6 |
| 1143 | 9221 | 12 |
| 1144 | 9227 | 6 |
| 1145 | 9239 | 12 |
| 1146 | 9241 | 2 |
Questions
What is the 1143rd prime number?
9221.
Which prime number is 9221?
9221 is the 1143rd prime number.
What is the sum of the first 1143 primes?
4,910,652.