What is the 9165th prime number?
The 9165th prime number is 95087. The next prime is 95089 (a gap of 2) and the one before is 95083.
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 9165th one is 95087.
- 2
95087 is prime because no prime up to ā95087 ā 308.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9165th prime is close to 9165 Ć ln(9165) ā 83614, and here it is 95087.
- 4
95087 is a twin prime: 95087 and 95089 are both prime.
Primes around the 9165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9162 | 95063 | 36 |
| 9163 | 95071 | 8 |
| 9164 | 95083 | 12 |
| 9165 | 95087 | 4 |
| 9166 | 95089 | 2 |
| 9167 | 95093 | 4 |
| 9168 | 95101 | 8 |
Questions
What is the 9165th prime number?
95087.
Which prime number is 95087?
95087 is the 9165th prime number.
What is the sum of the first 9165 primes?
412,752,654.