What is the 1197th prime number?
The 1197th prime number is 9697. The next prime is 9719 (a gap of 22) and the one before is 9689.
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 1197th one is 9697.
- 2
9697 is prime because no prime up to ā9697 ā 98.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1197th prime is close to 1197 Ć ln(1197) ā 8484, and here it is 9697.
- 4
9697 has no twin: neither 9695 nor 9699 is prime.
Primes around the 1197th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1194 | 9677 | 16 |
| 1195 | 9679 | 2 |
| 1196 | 9689 | 10 |
| 1197 | 9697 | 8 |
| 1198 | 9719 | 22 |
| 1199 | 9721 | 2 |
| 1200 | 9733 | 12 |
Questions
What is the 1197th prime number?
9697.
Which prime number is 9697?
9697 is the 1197th prime number.
What is the sum of the first 1197 primes?
5,421,536.