What is the 9006th prime number?
The 9006th prime number is 93251. The next prime is 93253 (a gap of 2) and the one before is 93241.
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 9006th one is 93251.
- 2
93251 is prime because no prime up to ā93251 ā 305.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9006th prime is close to 9006 Ć ln(9006) ā 82005, and here it is 93251.
- 4
93251 is a twin prime: 93251 and 93253 are both prime.
Primes around the 9006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9003 | 93229 | 30 |
| 9004 | 93239 | 10 |
| 9005 | 93241 | 2 |
| 9006 | 93251 | 10 |
| 9007 | 93253 | 2 |
| 9008 | 93257 | 4 |
| 9009 | 93263 | 6 |
Questions
What is the 9006th prime number?
93251.
Which prime number is 93251?
93251 is the 9006th prime number.
What is the sum of the first 9006 primes?
397,778,667.