What is the 1196th prime number?
The 1196th prime number is 9689. The next prime is 9697 (a gap of 8) and the one before is 9679.
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 1196th one is 9689.
- 2
9689 is prime because no prime up to ā9689 ā 98.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1196th prime is close to 1196 Ć ln(1196) ā 8476, and here it is 9689.
- 4
9689 has no twin: neither 9687 nor 9691 is prime.
Primes around the 1196th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1193 | 9661 | 12 |
| 1194 | 9677 | 16 |
| 1195 | 9679 | 2 |
| 1196 | 9689 | 10 |
| 1197 | 9697 | 8 |
| 1198 | 9719 | 22 |
| 1199 | 9721 | 2 |
Questions
What is the 1196th prime number?
9689.
Which prime number is 9689?
9689 is the 1196th prime number.
What is the sum of the first 1196 primes?
5,411,839.