What is the 1185th prime number?
The 1185th prime number is 9601. The next prime is 9613 (a gap of 12) and the one before is 9587.
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 1185th one is 9601.
- 2
9601 is prime because no prime up to ā9601 ā 97.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1185th prime is close to 1185 Ć ln(1185) ā 8387, and here it is 9601.
- 4
9601 has no twin: neither 9599 nor 9603 is prime.
Primes around the 1185th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1182 | 9547 | 8 |
| 1183 | 9551 | 4 |
| 1184 | 9587 | 36 |
| 1185 | 9601 | 14 |
| 1186 | 9613 | 12 |
| 1187 | 9619 | 6 |
| 1188 | 9623 | 4 |
Questions
What is the 1185th prime number?
9601.
Which prime number is 9601?
9601 is the 1185th prime number.
What is the sum of the first 1185 primes?
5,305,726.