What is the 9162nd prime number?
The 9162nd prime number is 95063. The next prime is 95071 (a gap of 8) and the one before is 95027.
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 9162nd one is 95063.
- 2
95063 is prime because no prime up to ā95063 ā 308.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9162nd prime is close to 9162 Ć ln(9162) ā 83583, and here it is 95063.
- 4
95063 has no twin: neither 95061 nor 95065 is prime.
Primes around the 9162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9159 | 95009 | 6 |
| 9160 | 95021 | 12 |
| 9161 | 95027 | 6 |
| 9162 | 95063 | 36 |
| 9163 | 95071 | 8 |
| 9164 | 95083 | 12 |
| 9165 | 95087 | 4 |
Questions
What is the 9162nd prime number?
95063.
Which prime number is 95063?
95063 is the 9162nd prime number.
What is the sum of the first 9162 primes?
412,467,413.