What is the 6822nd prime number?
The 6822nd prime number is 68633. The next prime is 68639 (a gap of 6) and the one before is 68611.
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 6822nd one is 68633.
- 2
68633 is prime because no prime up to ā68633 ā 261.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6822nd prime is close to 6822 Ć ln(6822) ā 60224, and here it is 68633.
- 4
68633 has no twin: neither 68631 nor 68635 is prime.
Primes around the 6822nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6819 | 68581 | 14 |
| 6820 | 68597 | 16 |
| 6821 | 68611 | 14 |
| 6822 | 68633 | 22 |
| 6823 | 68639 | 6 |
| 6824 | 68659 | 20 |
| 6825 | 68669 | 10 |
Questions
What is the 6822nd prime number?
68633.
Which prime number is 68633?
68633 is the 6822nd prime number.
What is the sum of the first 6822 primes?
221,060,501.