What is the 6815th prime number?
The 6815th prime number is 68531. The next prime is 68539 (a gap of 8) and the one before is 68521.
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 6815th one is 68531.
- 2
68531 is prime because no prime up to ā68531 ā 261.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6815th prime is close to 6815 Ć ln(6815) ā 60155, and here it is 68531.
- 4
68531 has no twin: neither 68529 nor 68533 is prime.
Primes around the 6815th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6812 | 68501 | 10 |
| 6813 | 68507 | 6 |
| 6814 | 68521 | 14 |
| 6815 | 68531 | 10 |
| 6816 | 68539 | 8 |
| 6817 | 68543 | 4 |
| 6818 | 68567 | 24 |
Questions
What is the 6815th prime number?
68531.
Which prime number is 68531?
68531 is the 6815th prime number.
What is the sum of the first 6815 primes?
220,580,430.