What is the 1184th prime number?
The 1184th prime number is 9587. The next prime is 9601 (a gap of 14) and the one before is 9551.
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 1184th one is 9587.
- 2
9587 is prime because no prime up to ā9587 ā 97.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1184th prime is close to 1184 Ć ln(1184) ā 8379, and here it is 9587.
- 4
9587 has no twin: neither 9585 nor 9589 is prime.
Primes around the 1184th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1181 | 9539 | 6 |
| 1182 | 9547 | 8 |
| 1183 | 9551 | 4 |
| 1184 | 9587 | 36 |
| 1185 | 9601 | 14 |
| 1186 | 9613 | 12 |
| 1187 | 9619 | 6 |
Questions
What is the 1184th prime number?
9587.
Which prime number is 9587?
9587 is the 1184th prime number.
What is the sum of the first 1184 primes?
5,296,125.