What is the 6827th prime number?
The 6827th prime number is 68687. The next prime is 68699 (a gap of 12) and the one before is 68683.
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 6827th one is 68687.
- 2
68687 is prime because no prime up to ā68687 ā 262.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6827th prime is close to 6827 Ć ln(6827) ā 60273, and here it is 68687.
- 4
68687 has no twin: neither 68685 nor 68689 is prime.
Primes around the 6827th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6824 | 68659 | 20 |
| 6825 | 68669 | 10 |
| 6826 | 68683 | 14 |
| 6827 | 68687 | 4 |
| 6828 | 68699 | 12 |
| 6829 | 68711 | 12 |
| 6830 | 68713 | 2 |
Questions
What is the 6827th prime number?
68687.
Which prime number is 68687?
68687 is the 6827th prime number.
What is the sum of the first 6827 primes?
221,403,838.