What is the 1195th prime number?
The 1195th prime number is 9679. The next prime is 9689 (a gap of 10) and the one before is 9677.
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 1195th one is 9679.
- 2
9679 is prime because no prime up to ā9679 ā 98.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1195th prime is close to 1195 Ć ln(1195) ā 8468, and here it is 9679.
- 4
9679 is a twin prime: 9677 and 9679 are both prime.
Primes around the 1195th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1192 | 9649 | 6 |
| 1193 | 9661 | 12 |
| 1194 | 9677 | 16 |
| 1195 | 9679 | 2 |
| 1196 | 9689 | 10 |
| 1197 | 9697 | 8 |
| 1198 | 9719 | 22 |
Questions
What is the 1195th prime number?
9679.
Which prime number is 9679?
9679 is the 1195th prime number.
What is the sum of the first 1195 primes?
5,402,150.