What is the 8338th prime number?
The 8338th prime number is 85667. The next prime is 85669 (a gap of 2) and the one before is 85661.
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 8338th one is 85667.
- 2
85667 is prime because no prime up to ā85667 ā 292.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8338th prime is close to 8338 Ć ln(8338) ā 75280, and here it is 85667.
- 4
85667 is a twin prime: 85667 and 85669 are both prime.
Primes around the 8338th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8335 | 85639 | 12 |
| 8336 | 85643 | 4 |
| 8337 | 85661 | 18 |
| 8338 | 85667 | 6 |
| 8339 | 85669 | 2 |
| 8340 | 85691 | 22 |
| 8341 | 85703 | 12 |
Questions
What is the 8338th prime number?
85667.
Which prime number is 85667?
85667 is the 8338th prime number.
What is the sum of the first 8338 primes?
337,977,979.