What is the 9164th prime number?
The 9164th prime number is 95083. The next prime is 95087 (a gap of 4) and the one before is 95071.
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 9164th one is 95083.
- 2
95083 is prime because no prime up to ā95083 ā 308.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9164th prime is close to 9164 Ć ln(9164) ā 83604, and here it is 95083.
- 4
95083 has no twin: neither 95081 nor 95085 is prime.
Primes around the 9164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9161 | 95027 | 6 |
| 9162 | 95063 | 36 |
| 9163 | 95071 | 8 |
| 9164 | 95083 | 12 |
| 9165 | 95087 | 4 |
| 9166 | 95089 | 2 |
| 9167 | 95093 | 4 |
Questions
What is the 9164th prime number?
95083.
Which prime number is 95083?
95083 is the 9164th prime number.
What is the sum of the first 9164 primes?
412,657,567.