What is the 6814th prime number?
The 6814th prime number is 68521. The next prime is 68531 (a gap of 10) and the one before is 68507.
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 6814th one is 68521.
- 2
68521 is prime because no prime up to ā68521 ā 261.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6814th prime is close to 6814 Ć ln(6814) ā 60145, and here it is 68521.
- 4
68521 has no twin: neither 68519 nor 68523 is prime.
Primes around the 6814th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6811 | 68491 | 2 |
| 6812 | 68501 | 10 |
| 6813 | 68507 | 6 |
| 6814 | 68521 | 14 |
| 6815 | 68531 | 10 |
| 6816 | 68539 | 8 |
| 6817 | 68543 | 4 |
Questions
What is the 6814th prime number?
68521.
Which prime number is 68521?
68521 is the 6814th prime number.
What is the sum of the first 6814 primes?
220,511,899.