What is the 6834th prime number?
The 6834th prime number is 68749. The next prime is 68767 (a gap of 18) and the one before is 68743.
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 6834th one is 68749.
- 2
68749 is prime because no prime up to ā68749 ā 262.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6834th prime is close to 6834 Ć ln(6834) ā 60342, and here it is 68749.
- 4
68749 has no twin: neither 68747 nor 68751 is prime.
Primes around the 6834th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6831 | 68729 | 16 |
| 6832 | 68737 | 8 |
| 6833 | 68743 | 6 |
| 6834 | 68749 | 6 |
| 6835 | 68767 | 18 |
| 6836 | 68771 | 4 |
| 6837 | 68777 | 6 |
Questions
What is the 6834th prime number?
68749.
Which prime number is 68749?
68749 is the 6834th prime number.
What is the sum of the first 6834 primes?
221,884,919.