What is the 6810th prime number?
The 6810th prime number is 68489. The next prime is 68491 (a gap of 2) and the one before is 68483.
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 6810th one is 68489.
- 2
68489 is prime because no prime up to ā68489 ā 261.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6810th prime is close to 6810 Ć ln(6810) ā 60106, and here it is 68489.
- 4
68489 is a twin prime: 68489 and 68491 are both prime.
Primes around the 6810th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6807 | 68473 | 24 |
| 6808 | 68477 | 4 |
| 6809 | 68483 | 6 |
| 6810 | 68489 | 6 |
| 6811 | 68491 | 2 |
| 6812 | 68501 | 10 |
| 6813 | 68507 | 6 |
Questions
What is the 6810th prime number?
68489.
Which prime number is 68489?
68489 is the 6810th prime number.
What is the sum of the first 6810 primes?
220,237,879.