What is the 8685th prime number?
The 8685th prime number is 89669. The next prime is 89671 (a gap of 2) and the one before is 89659.
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 8685th one is 89669.
- 2
89669 is prime because no prime up to ā89669 ā 299.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8685th prime is close to 8685 Ć ln(8685) ā 78767, and here it is 89669.
- 4
89669 is a twin prime: 89669 and 89671 are both prime.
Primes around the 8685th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8682 | 89653 | 20 |
| 8683 | 89657 | 4 |
| 8684 | 89659 | 2 |
| 8685 | 89669 | 10 |
| 8686 | 89671 | 2 |
| 8687 | 89681 | 10 |
| 8688 | 89689 | 8 |
Questions
What is the 8685th prime number?
89669.
Which prime number is 89669?
89669 is the 8685th prime number.
What is the sum of the first 8685 primes?
368,411,552.