What is the 9265th prime number?
The 9265th prime number is 96179. The next prime is 96181 (a gap of 2) and the one before is 96167.
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 9265th one is 96179.
- 2
96179 is prime because no prime up to ā96179 ā 310.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9265th prime is close to 9265 Ć ln(9265) ā 84627, and here it is 96179.
- 4
96179 is a twin prime: 96179 and 96181 are both prime.
Primes around the 9265th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9262 | 96149 | 12 |
| 9263 | 96157 | 8 |
| 9264 | 96167 | 10 |
| 9265 | 96179 | 12 |
| 9266 | 96181 | 2 |
| 9267 | 96199 | 18 |
| 9268 | 96211 | 12 |
Questions
What is the 9265th prime number?
96179.
Which prime number is 96179?
96179 is the 9265th prime number.
What is the sum of the first 9265 primes?
422,313,322.