What is the 9159th prime number?
The 9159th prime number is 95009. The next prime is 95021 (a gap of 12) and the one before is 95003.
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 9159th one is 95009.
- 2
95009 is prime because no prime up to ā95009 ā 308.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9159th prime is close to 9159 Ć ln(9159) ā 83553, and here it is 95009.
- 4
95009 has no twin: neither 95007 nor 95011 is prime.
Primes around the 9159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9156 | 94993 | 32 |
| 9157 | 94999 | 6 |
| 9158 | 95003 | 4 |
| 9159 | 95009 | 6 |
| 9160 | 95021 | 12 |
| 9161 | 95027 | 6 |
| 9162 | 95063 | 36 |
Questions
What is the 9159th prime number?
95009.
Which prime number is 95009?
95009 is the 9159th prime number.
What is the sum of the first 9159 primes?
412,182,302.