What is the 9267th prime number?
The 9267th prime number is 96199. The next prime is 96211 (a gap of 12) and the one before is 96181.
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 9267th one is 96199.
- 2
96199 is prime because no prime up to ā96199 ā 310.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9267th prime is close to 9267 Ć ln(9267) ā 84647, and here it is 96199.
- 4
96199 has no twin: neither 96197 nor 96201 is prime.
Primes around the 9267th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9264 | 96167 | 10 |
| 9265 | 96179 | 12 |
| 9266 | 96181 | 2 |
| 9267 | 96199 | 18 |
| 9268 | 96211 | 12 |
| 9269 | 96221 | 10 |
| 9270 | 96223 | 2 |
Questions
What is the 9267th prime number?
96199.
Which prime number is 96199?
96199 is the 9267th prime number.
What is the sum of the first 9267 primes?
422,505,702.