What is the 1199th prime number?
The 1199th prime number is 9721. The next prime is 9733 (a gap of 12) and the one before is 9719.
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 1199th one is 9721.
- 2
9721 is prime because no prime up to ā9721 ā 98.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1199th prime is close to 1199 Ć ln(1199) ā 8500, and here it is 9721.
- 4
9721 is a twin prime: 9719 and 9721 are both prime.
Primes around the 1199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1196 | 9689 | 10 |
| 1197 | 9697 | 8 |
| 1198 | 9719 | 22 |
| 1199 | 9721 | 2 |
| 1200 | 9733 | 12 |
| 1201 | 9739 | 6 |
| 1202 | 9743 | 4 |
Questions
What is the 1199th prime number?
9721.
Which prime number is 9721?
9721 is the 1199th prime number.
What is the sum of the first 1199 primes?
5,440,976.