What is the 6842nd prime number?
The 6842nd prime number is 68863. The next prime is 68879 (a gap of 16) and the one before is 68821.
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 6842nd one is 68863.
- 2
68863 is prime because no prime up to ā68863 ā 262.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6842nd prime is close to 6842 Ć ln(6842) ā 60421, and here it is 68863.
- 4
68863 has no twin: neither 68861 nor 68865 is prime.
Primes around the 6842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6839 | 68813 | 22 |
| 6840 | 68819 | 6 |
| 6841 | 68821 | 2 |
| 6842 | 68863 | 42 |
| 6843 | 68879 | 16 |
| 6844 | 68881 | 2 |
| 6845 | 68891 | 10 |
Questions
What is the 6842nd prime number?
68863.
Which prime number is 68863?
68863 is the 6842nd prime number.
What is the sum of the first 6842 primes?
222,435,341.