What is the 1186th prime number?
The 1186th prime number is 9613. The next prime is 9619 (a gap of 6) and the one before is 9601.
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 1186th one is 9613.
- 2
9613 is prime because no prime up to ā9613 ā 98.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1186th prime is close to 1186 Ć ln(1186) ā 8395, and here it is 9613.
- 4
9613 has no twin: neither 9611 nor 9615 is prime.
Primes around the 1186th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1183 | 9551 | 4 |
| 1184 | 9587 | 36 |
| 1185 | 9601 | 14 |
| 1186 | 9613 | 12 |
| 1187 | 9619 | 6 |
| 1188 | 9623 | 4 |
| 1189 | 9629 | 6 |
Questions
What is the 1186th prime number?
9613.
Which prime number is 9613?
9613 is the 1186th prime number.
What is the sum of the first 1186 primes?
5,315,339.