What is the 8269th prime number?
The 8269th prime number is 84871. The next prime is 84913 (a gap of 42) and the one before is 84869.
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 8269th one is 84871.
- 2
84871 is prime because no prime up to ā84871 ā 291.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8269th prime is close to 8269 Ć ln(8269) ā 74589, and here it is 84871.
- 4
84871 is a twin prime: 84869 and 84871 are both prime.
Primes around the 8269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8266 | 84857 | 30 |
| 8267 | 84859 | 2 |
| 8268 | 84869 | 10 |
| 8269 | 84871 | 2 |
| 8270 | 84913 | 42 |
| 8271 | 84919 | 6 |
| 8272 | 84947 | 28 |
Questions
What is the 8269th prime number?
84871.
Which prime number is 84871?
84871 is the 8269th prime number.
What is the sum of the first 8269 primes?
332,092,626.