What is the 1198th prime number?
The 1198th prime number is 9719. The next prime is 9721 (a gap of 2) and the one before is 9697.
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 1198th one is 9719.
- 2
9719 is prime because no prime up to ā9719 ā 98.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1198th prime is close to 1198 Ć ln(1198) ā 8492, and here it is 9719.
- 4
9719 is a twin prime: 9719 and 9721 are both prime.
Primes around the 1198th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1195 | 9679 | 2 |
| 1196 | 9689 | 10 |
| 1197 | 9697 | 8 |
| 1198 | 9719 | 22 |
| 1199 | 9721 | 2 |
| 1200 | 9733 | 12 |
| 1201 | 9739 | 6 |
Questions
What is the 1198th prime number?
9719.
Which prime number is 9719?
9719 is the 1198th prime number.
What is the sum of the first 1198 primes?
5,431,255.