What is the 1189th prime number?
The 1189th prime number is 9629. The next prime is 9631 (a gap of 2) and the one before is 9623.
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 1189th one is 9629.
- 2
9629 is prime because no prime up to ā9629 ā 98.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1189th prime is close to 1189 Ć ln(1189) ā 8419, and here it is 9629.
- 4
9629 is a twin prime: 9629 and 9631 are both prime.
Primes around the 1189th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1186 | 9613 | 12 |
| 1187 | 9619 | 6 |
| 1188 | 9623 | 4 |
| 1189 | 9629 | 6 |
| 1190 | 9631 | 2 |
| 1191 | 9643 | 12 |
| 1192 | 9649 | 6 |
Questions
What is the 1189th prime number?
9629.
Which prime number is 9629?
9629 is the 1189th prime number.
What is the sum of the first 1189 primes?
5,344,210.