What is the 9008th prime number?
The 9008th prime number is 93257. The next prime is 93263 (a gap of 6) and the one before is 93253.
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 9008th one is 93257.
- 2
93257 is prime because no prime up to ā93257 ā 305.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9008th prime is close to 9008 Ć ln(9008) ā 82026, and here it is 93257.
- 4
93257 has no twin: neither 93255 nor 93259 is prime.
Primes around the 9008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9005 | 93241 | 2 |
| 9006 | 93251 | 10 |
| 9007 | 93253 | 2 |
| 9008 | 93257 | 4 |
| 9009 | 93263 | 6 |
| 9010 | 93281 | 18 |
| 9011 | 93283 | 2 |
Questions
What is the 9008th prime number?
93257.
Which prime number is 93257?
93257 is the 9008th prime number.
What is the sum of the first 9008 primes?
397,965,177.