What is the 9005th prime number?
The 9005th prime number is 93241. The next prime is 93251 (a gap of 10) and the one before is 93239.
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 9005th one is 93241.
- 2
93241 is prime because no prime up to ā93241 ā 305.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9005th prime is close to 9005 Ć ln(9005) ā 81995, and here it is 93241.
- 4
93241 is a twin prime: 93239 and 93241 are both prime.
Primes around the 9005th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9002 | 93199 | 12 |
| 9003 | 93229 | 30 |
| 9004 | 93239 | 10 |
| 9005 | 93241 | 2 |
| 9006 | 93251 | 10 |
| 9007 | 93253 | 2 |
| 9008 | 93257 | 4 |
Questions
What is the 9005th prime number?
93241.
Which prime number is 93241?
93241 is the 9005th prime number.
What is the sum of the first 9005 primes?
397,685,416.