What is the 1166th prime number?
The 1166th prime number is 9421. The next prime is 9431 (a gap of 10) and the one before is 9419.
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 1166th one is 9421.
- 2
9421 is prime because no prime up to ā9421 ā 97.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1166th prime is close to 1166 Ć ln(1166) ā 8234, and here it is 9421.
- 4
9421 is a twin prime: 9419 and 9421 are both prime.
Primes around the 1166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1163 | 9403 | 6 |
| 1164 | 9413 | 10 |
| 1165 | 9419 | 6 |
| 1166 | 9421 | 2 |
| 1167 | 9431 | 10 |
| 1168 | 9433 | 2 |
| 1169 | 9437 | 4 |
Questions
What is the 1166th prime number?
9421.
Which prime number is 9421?
9421 is the 1166th prime number.
What is the sum of the first 1166 primes?
5,125,265.