What is the 9007th prime number?
The 9007th prime number is 93253. The next prime is 93257 (a gap of 4) and the one before is 93251.
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 9007th one is 93253.
- 2
93253 is prime because no prime up to ā93253 ā 305.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9007th prime is close to 9007 Ć ln(9007) ā 82016, and here it is 93253.
- 4
93253 is a twin prime: 93251 and 93253 are both prime.
Primes around the 9007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9004 | 93239 | 10 |
| 9005 | 93241 | 2 |
| 9006 | 93251 | 10 |
| 9007 | 93253 | 2 |
| 9008 | 93257 | 4 |
| 9009 | 93263 | 6 |
| 9010 | 93281 | 18 |
Questions
What is the 9007th prime number?
93253.
Which prime number is 93253?
93253 is the 9007th prime number.
What is the sum of the first 9007 primes?
397,871,920.