What is the 9160th prime number?
The 9160th prime number is 95021. The next prime is 95027 (a gap of 6) and the one before is 95009.
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 9160th one is 95021.
- 2
95021 is prime because no prime up to ā95021 ā 308.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9160th prime is close to 9160 Ć ln(9160) ā 83563, and here it is 95021.
- 4
95021 has no twin: neither 95019 nor 95023 is prime.
Primes around the 9160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9157 | 94999 | 6 |
| 9158 | 95003 | 4 |
| 9159 | 95009 | 6 |
| 9160 | 95021 | 12 |
| 9161 | 95027 | 6 |
| 9162 | 95063 | 36 |
| 9163 | 95071 | 8 |
Questions
What is the 9160th prime number?
95021.
Which prime number is 95021?
95021 is the 9160th prime number.
What is the sum of the first 9160 primes?
412,277,323.