What is the 6839th prime number?
The 6839th prime number is 68813. The next prime is 68819 (a gap of 6) and the one before is 68791.
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 6839th one is 68813.
- 2
68813 is prime because no prime up to ā68813 ā 262.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6839th prime is close to 6839 Ć ln(6839) ā 60391, and here it is 68813.
- 4
68813 has no twin: neither 68811 nor 68815 is prime.
Primes around the 6839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6836 | 68771 | 4 |
| 6837 | 68777 | 6 |
| 6838 | 68791 | 14 |
| 6839 | 68813 | 22 |
| 6840 | 68819 | 6 |
| 6841 | 68821 | 2 |
| 6842 | 68863 | 42 |
Questions
What is the 6839th prime number?
68813.
Which prime number is 68813?
68813 is the 6839th prime number.
What is the sum of the first 6839 primes?
222,228,838.