What is the 6809th prime number?
The 6809th prime number is 68483. The next prime is 68489 (a gap of 6) and the one before is 68477.
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 6809th one is 68483.
- 2
68483 is prime because no prime up to ā68483 ā 261.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6809th prime is close to 6809 Ć ln(6809) ā 60096, and here it is 68483.
- 4
68483 has no twin: neither 68481 nor 68485 is prime.
Primes around the 6809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6806 | 68449 | 2 |
| 6807 | 68473 | 24 |
| 6808 | 68477 | 4 |
| 6809 | 68483 | 6 |
| 6810 | 68489 | 6 |
| 6811 | 68491 | 2 |
| 6812 | 68501 | 10 |
Questions
What is the 6809th prime number?
68483.
Which prime number is 68483?
68483 is the 6809th prime number.
What is the sum of the first 6809 primes?
220,169,390.