What is the 9264th prime number?
The 9264th prime number is 96167. The next prime is 96179 (a gap of 12) and the one before is 96157.
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 9264th one is 96167.
- 2
96167 is prime because no prime up to ā96167 ā 310.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9264th prime is close to 9264 Ć ln(9264) ā 84616, and here it is 96167.
- 4
96167 has no twin: neither 96165 nor 96169 is prime.
Primes around the 9264th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9261 | 96137 | 40 |
| 9262 | 96149 | 12 |
| 9263 | 96157 | 8 |
| 9264 | 96167 | 10 |
| 9265 | 96179 | 12 |
| 9266 | 96181 | 2 |
| 9267 | 96199 | 18 |
Questions
What is the 9264th prime number?
96167.
Which prime number is 96167?
96167 is the 9264th prime number.
What is the sum of the first 9264 primes?
422,217,143.