What is the 8268th prime number?
The 8268th prime number is 84869. The next prime is 84871 (a gap of 2) and the one before is 84859.
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 8268th one is 84869.
- 2
84869 is prime because no prime up to ā84869 ā 291.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8268th prime is close to 8268 Ć ln(8268) ā 74579, and here it is 84869.
- 4
84869 is a twin prime: 84869 and 84871 are both prime.
Primes around the 8268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8265 | 84827 | 16 |
| 8266 | 84857 | 30 |
| 8267 | 84859 | 2 |
| 8268 | 84869 | 10 |
| 8269 | 84871 | 2 |
| 8270 | 84913 | 42 |
| 8271 | 84919 | 6 |
Questions
What is the 8268th prime number?
84869.
Which prime number is 84869?
84869 is the 8268th prime number.
What is the sum of the first 8268 primes?
332,007,755.