What is the 6826th prime number?
The 6826th prime number is 68683. The next prime is 68687 (a gap of 4) and the one before is 68669.
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 6826th one is 68683.
- 2
68683 is prime because no prime up to ā68683 ā 262.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6826th prime is close to 6826 Ć ln(6826) ā 60263, and here it is 68683.
- 4
68683 has no twin: neither 68681 nor 68685 is prime.
Primes around the 6826th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6823 | 68639 | 6 |
| 6824 | 68659 | 20 |
| 6825 | 68669 | 10 |
| 6826 | 68683 | 14 |
| 6827 | 68687 | 4 |
| 6828 | 68699 | 12 |
| 6829 | 68711 | 12 |
Questions
What is the 6826th prime number?
68683.
Which prime number is 68683?
68683 is the 6826th prime number.
What is the sum of the first 6826 primes?
221,335,151.