What is the 6824th prime number?
The 6824th prime number is 68659. The next prime is 68669 (a gap of 10) and the one before is 68639.
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 6824th one is 68659.
- 2
68659 is prime because no prime up to ā68659 ā 262.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6824th prime is close to 6824 Ć ln(6824) ā 60244, and here it is 68659.
- 4
68659 has no twin: neither 68657 nor 68661 is prime.
Primes around the 6824th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6821 | 68611 | 14 |
| 6822 | 68633 | 22 |
| 6823 | 68639 | 6 |
| 6824 | 68659 | 20 |
| 6825 | 68669 | 10 |
| 6826 | 68683 | 14 |
| 6827 | 68687 | 4 |
Questions
What is the 6824th prime number?
68659.
Which prime number is 68659?
68659 is the 6824th prime number.
What is the sum of the first 6824 primes?
221,197,799.