What is the 6807th prime number?
The 6807th prime number is 68473. The next prime is 68477 (a gap of 4) and the one before is 68449.
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 6807th one is 68473.
- 2
68473 is prime because no prime up to ā68473 ā 261.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6807th prime is close to 6807 Ć ln(6807) ā 60077, and here it is 68473.
- 4
68473 has no twin: neither 68471 nor 68475 is prime.
Primes around the 6807th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6804 | 68443 | 6 |
| 6805 | 68447 | 4 |
| 6806 | 68449 | 2 |
| 6807 | 68473 | 24 |
| 6808 | 68477 | 4 |
| 6809 | 68483 | 6 |
| 6810 | 68489 | 6 |
Questions
What is the 6807th prime number?
68473.
Which prime number is 68473?
68473 is the 6807th prime number.
What is the sum of the first 6807 primes?
220,032,430.