What is the 9163rd prime number?
The 9163rd prime number is 95071. The next prime is 95083 (a gap of 12) and the one before is 95063.
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 9163rd one is 95071.
- 2
95071 is prime because no prime up to ā95071 ā 308.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9163rd prime is close to 9163 Ć ln(9163) ā 83593, and here it is 95071.
- 4
95071 has no twin: neither 95069 nor 95073 is prime.
Primes around the 9163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9160 | 95021 | 12 |
| 9161 | 95027 | 6 |
| 9162 | 95063 | 36 |
| 9163 | 95071 | 8 |
| 9164 | 95083 | 12 |
| 9165 | 95087 | 4 |
| 9166 | 95089 | 2 |
Questions
What is the 9163rd prime number?
95071.
Which prime number is 95071?
95071 is the 9163rd prime number.
What is the sum of the first 9163 primes?
412,562,484.