What is the 9004th prime number?
The 9004th prime number is 93239. The next prime is 93241 (a gap of 2) and the one before is 93229.
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 9004th one is 93239.
- 2
93239 is prime because no prime up to ā93239 ā 305.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9004th prime is close to 9004 Ć ln(9004) ā 81985, and here it is 93239.
- 4
93239 is a twin prime: 93239 and 93241 are both prime.
Primes around the 9004th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9001 | 93187 | 8 |
| 9002 | 93199 | 12 |
| 9003 | 93229 | 30 |
| 9004 | 93239 | 10 |
| 9005 | 93241 | 2 |
| 9006 | 93251 | 10 |
| 9007 | 93253 | 2 |
Questions
What is the 9004th prime number?
93239.
Which prime number is 93239?
93239 is the 9004th prime number.
What is the sum of the first 9004 primes?
397,592,175.