What is the 6813th prime number?
The 6813th prime number is 68507. The next prime is 68521 (a gap of 14) and the one before is 68501.
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 6813th one is 68507.
- 2
68507 is prime because no prime up to ā68507 ā 261.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6813th prime is close to 6813 Ć ln(6813) ā 60136, and here it is 68507.
- 4
68507 has no twin: neither 68505 nor 68509 is prime.
Primes around the 6813th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6810 | 68489 | 6 |
| 6811 | 68491 | 2 |
| 6812 | 68501 | 10 |
| 6813 | 68507 | 6 |
| 6814 | 68521 | 14 |
| 6815 | 68531 | 10 |
| 6816 | 68539 | 8 |
Questions
What is the 6813th prime number?
68507.
Which prime number is 68507?
68507 is the 6813th prime number.
What is the sum of the first 6813 primes?
220,443,378.