What is the 9148th prime number?
The 9148th prime number is 94873. The next prime is 94889 (a gap of 16) and the one before is 94849.
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 9148th one is 94873.
- 2
94873 is prime because no prime up to ā94873 ā 308.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9148th prime is close to 9148 Ć ln(9148) ā 83442, and here it is 94873.
- 4
94873 has no twin: neither 94871 nor 94875 is prime.
Primes around the 9148th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9145 | 94841 | 4 |
| 9146 | 94847 | 6 |
| 9147 | 94849 | 2 |
| 9148 | 94873 | 24 |
| 9149 | 94889 | 16 |
| 9150 | 94903 | 14 |
| 9151 | 94907 | 4 |
Questions
What is the 9148th prime number?
94873.
Which prime number is 94873?
94873 is the 9148th prime number.
What is the sum of the first 9148 primes?
411,137,805.