What is the 9266th prime number?
The 9266th prime number is 96181. The next prime is 96199 (a gap of 18) and the one before is 96179.
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 9266th one is 96181.
- 2
96181 is prime because no prime up to ā96181 ā 310.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9266th prime is close to 9266 Ć ln(9266) ā 84637, and here it is 96181.
- 4
96181 is a twin prime: 96179 and 96181 are both prime.
Primes around the 9266th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9263 | 96157 | 8 |
| 9264 | 96167 | 10 |
| 9265 | 96179 | 12 |
| 9266 | 96181 | 2 |
| 9267 | 96199 | 18 |
| 9268 | 96211 | 12 |
| 9269 | 96221 | 10 |
Questions
What is the 9266th prime number?
96181.
Which prime number is 96181?
96181 is the 9266th prime number.
What is the sum of the first 9266 primes?
422,409,503.