What is the 9161st prime number?
The 9161st prime number is 95027. The next prime is 95063 (a gap of 36) and the one before is 95021.
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 9161st one is 95027.
- 2
95027 is prime because no prime up to ā95027 ā 308.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9161st prime is close to 9161 Ć ln(9161) ā 83573, and here it is 95027.
- 4
95027 has no twin: neither 95025 nor 95029 is prime.
Primes around the 9161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9158 | 95003 | 4 |
| 9159 | 95009 | 6 |
| 9160 | 95021 | 12 |
| 9161 | 95027 | 6 |
| 9162 | 95063 | 36 |
| 9163 | 95071 | 8 |
| 9164 | 95083 | 12 |
Questions
What is the 9161st prime number?
95027.
Which prime number is 95027?
95027 is the 9161st prime number.
What is the sum of the first 9161 primes?
412,372,350.