What is the 6811th prime number?
The 6811th prime number is 68491. The next prime is 68501 (a gap of 10) and the one before is 68489.
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 6811th one is 68491.
- 2
68491 is prime because no prime up to ā68491 ā 261.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6811th prime is close to 6811 Ć ln(6811) ā 60116, and here it is 68491.
- 4
68491 is a twin prime: 68489 and 68491 are both prime.
Primes around the 6811th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6808 | 68477 | 4 |
| 6809 | 68483 | 6 |
| 6810 | 68489 | 6 |
| 6811 | 68491 | 2 |
| 6812 | 68501 | 10 |
| 6813 | 68507 | 6 |
| 6814 | 68521 | 14 |
Questions
What is the 6811th prime number?
68491.
Which prime number is 68491?
68491 is the 6811th prime number.
What is the sum of the first 6811 primes?
220,306,370.