What is the 9158th prime number?
The 9158th prime number is 95003. The next prime is 95009 (a gap of 6) and the one before is 94999.
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 9158th one is 95003.
- 2
95003 is prime because no prime up to ā95003 ā 308.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9158th prime is close to 9158 Ć ln(9158) ā 83543, and here it is 95003.
- 4
95003 has no twin: neither 95001 nor 95005 is prime.
Primes around the 9158th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9155 | 94961 | 10 |
| 9156 | 94993 | 32 |
| 9157 | 94999 | 6 |
| 9158 | 95003 | 4 |
| 9159 | 95009 | 6 |
| 9160 | 95021 | 12 |
| 9161 | 95027 | 6 |
Questions
What is the 9158th prime number?
95003.
Which prime number is 95003?
95003 is the 9158th prime number.
What is the sum of the first 9158 primes?
412,087,293.