What is the 6818th prime number?
The 6818th prime number is 68567. The next prime is 68581 (a gap of 14) and the one before is 68543.
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 6818th one is 68567.
- 2
68567 is prime because no prime up to ā68567 ā 261.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6818th prime is close to 6818 Ć ln(6818) ā 60185, and here it is 68567.
- 4
68567 has no twin: neither 68565 nor 68569 is prime.
Primes around the 6818th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6815 | 68531 | 10 |
| 6816 | 68539 | 8 |
| 6817 | 68543 | 4 |
| 6818 | 68567 | 24 |
| 6819 | 68581 | 14 |
| 6820 | 68597 | 16 |
| 6821 | 68611 | 14 |
Questions
What is the 6818th prime number?
68567.
Which prime number is 68567?
68567 is the 6818th prime number.
What is the sum of the first 6818 primes?
220,786,079.