What is the 9009th prime number?
The 9009th prime number is 93263. The next prime is 93281 (a gap of 18) and the one before is 93257.
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 9009th one is 93263.
- 2
93263 is prime because no prime up to ā93263 ā 305.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9009th prime is close to 9009 Ć ln(9009) ā 82036, and here it is 93263.
- 4
93263 has no twin: neither 93261 nor 93265 is prime.
Primes around the 9009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9006 | 93251 | 10 |
| 9007 | 93253 | 2 |
| 9008 | 93257 | 4 |
| 9009 | 93263 | 6 |
| 9010 | 93281 | 18 |
| 9011 | 93283 | 2 |
| 9012 | 93287 | 4 |
Questions
What is the 9009th prime number?
93263.
Which prime number is 93263?
93263 is the 9009th prime number.
What is the sum of the first 9009 primes?
398,058,440.