What is the 6828th prime number?
The 6828th prime number is 68699. The next prime is 68711 (a gap of 12) and the one before is 68687.
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 6828th one is 68699.
- 2
68699 is prime because no prime up to ā68699 ā 262.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6828th prime is close to 6828 Ć ln(6828) ā 60283, and here it is 68699.
- 4
68699 has no twin: neither 68697 nor 68701 is prime.
Primes around the 6828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6825 | 68669 | 10 |
| 6826 | 68683 | 14 |
| 6827 | 68687 | 4 |
| 6828 | 68699 | 12 |
| 6829 | 68711 | 12 |
| 6830 | 68713 | 2 |
| 6831 | 68729 | 16 |
Questions
What is the 6828th prime number?
68699.
Which prime number is 68699?
68699 is the 6828th prime number.
What is the sum of the first 6828 primes?
221,472,537.