What is the 8339th prime number?
The 8339th prime number is 85669. The next prime is 85691 (a gap of 22) and the one before is 85667.
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 8339th one is 85669.
- 2
85669 is prime because no prime up to ā85669 ā 292.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8339th prime is close to 8339 Ć ln(8339) ā 75290, and here it is 85669.
- 4
85669 is a twin prime: 85667 and 85669 are both prime.
Primes around the 8339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8336 | 85643 | 4 |
| 8337 | 85661 | 18 |
| 8338 | 85667 | 6 |
| 8339 | 85669 | 2 |
| 8340 | 85691 | 22 |
| 8341 | 85703 | 12 |
| 8342 | 85711 | 8 |
Questions
What is the 8339th prime number?
85669.
Which prime number is 85669?
85669 is the 8339th prime number.
What is the sum of the first 8339 primes?
338,063,648.