What is the 1140th prime number?
The 1140th prime number is 9199. The next prime is 9203 (a gap of 4) and the one before is 9187.
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 1140th one is 9199.
- 2
9199 is prime because no prime up to ā9199 ā 95.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1140th prime is close to 1140 Ć ln(1140) ā 8024, and here it is 9199.
- 4
9199 has no twin: neither 9197 nor 9201 is prime.
Primes around the 1140th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1137 | 9173 | 12 |
| 1138 | 9181 | 8 |
| 1139 | 9187 | 6 |
| 1140 | 9199 | 12 |
| 1141 | 9203 | 4 |
| 1142 | 9209 | 6 |
| 1143 | 9221 | 12 |
Questions
What is the 1140th prime number?
9199.
Which prime number is 9199?
9199 is the 1140th prime number.
What is the sum of the first 1140 primes?
4,883,019.