What is the 9166th prime number?
The 9166th prime number is 95089. The next prime is 95093 (a gap of 4) and the one before is 95087.
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 9166th one is 95089.
- 2
95089 is prime because no prime up to ā95089 ā 308.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9166th prime is close to 9166 Ć ln(9166) ā 83624, and here it is 95089.
- 4
95089 is a twin prime: 95087 and 95089 are both prime.
Primes around the 9166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9163 | 95071 | 8 |
| 9164 | 95083 | 12 |
| 9165 | 95087 | 4 |
| 9166 | 95089 | 2 |
| 9167 | 95093 | 4 |
| 9168 | 95101 | 8 |
| 9169 | 95107 | 6 |
Questions
What is the 9166th prime number?
95089.
Which prime number is 95089?
95089 is the 9166th prime number.
What is the sum of the first 9166 primes?
412,847,743.