What is the 9167th prime number?
The 9167th prime number is 95093. The next prime is 95101 (a gap of 8) and the one before is 95089.
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 9167th one is 95093.
- 2
95093 is prime because no prime up to ā95093 ā 308.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9167th prime is close to 9167 Ć ln(9167) ā 83634, and here it is 95093.
- 4
95093 has no twin: neither 95091 nor 95095 is prime.
Primes around the 9167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9164 | 95083 | 12 |
| 9165 | 95087 | 4 |
| 9166 | 95089 | 2 |
| 9167 | 95093 | 4 |
| 9168 | 95101 | 8 |
| 9169 | 95107 | 6 |
| 9170 | 95111 | 4 |
Questions
What is the 9167th prime number?
95093.
Which prime number is 95093?
95093 is the 9167th prime number.
What is the sum of the first 9167 primes?
412,942,836.