What is the 6838th prime number?
The 6838th prime number is 68791. The next prime is 68813 (a gap of 22) and the one before is 68777.
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 6838th one is 68791.
- 2
68791 is prime because no prime up to ā68791 ā 262.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6838th prime is close to 6838 Ć ln(6838) ā 60381, and here it is 68791.
- 4
68791 has no twin: neither 68789 nor 68793 is prime.
Primes around the 6838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6835 | 68767 | 18 |
| 6836 | 68771 | 4 |
| 6837 | 68777 | 6 |
| 6838 | 68791 | 14 |
| 6839 | 68813 | 22 |
| 6840 | 68819 | 6 |
| 6841 | 68821 | 2 |
Questions
What is the 6838th prime number?
68791.
Which prime number is 68791?
68791 is the 6838th prime number.
What is the sum of the first 6838 primes?
222,160,025.