What is the 6836th prime number?
The 6836th prime number is 68771. The next prime is 68777 (a gap of 6) and the one before is 68767.
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 6836th one is 68771.
- 2
68771 is prime because no prime up to ā68771 ā 262.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6836th prime is close to 6836 Ć ln(6836) ā 60362, and here it is 68771.
- 4
68771 has no twin: neither 68769 nor 68773 is prime.
Primes around the 6836th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6833 | 68743 | 6 |
| 6834 | 68749 | 6 |
| 6835 | 68767 | 18 |
| 6836 | 68771 | 4 |
| 6837 | 68777 | 6 |
| 6838 | 68791 | 14 |
| 6839 | 68813 | 22 |
Questions
What is the 6836th prime number?
68771.
Which prime number is 68771?
68771 is the 6836th prime number.
What is the sum of the first 6836 primes?
222,022,457.