What is the 6829th prime number?
The 6829th prime number is 68711. The next prime is 68713 (a gap of 2) and the one before is 68699.
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 6829th one is 68711.
- 2
68711 is prime because no prime up to ā68711 ā 262.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6829th prime is close to 6829 Ć ln(6829) ā 60293, and here it is 68711.
- 4
68711 is a twin prime: 68711 and 68713 are both prime.
Primes around the 6829th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6826 | 68683 | 14 |
| 6827 | 68687 | 4 |
| 6828 | 68699 | 12 |
| 6829 | 68711 | 12 |
| 6830 | 68713 | 2 |
| 6831 | 68729 | 16 |
| 6832 | 68737 | 8 |
Questions
What is the 6829th prime number?
68711.
Which prime number is 68711?
68711 is the 6829th prime number.
What is the sum of the first 6829 primes?
221,541,248.